Electromagnetism Concepts Quiz

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Questions and Answers

The S.I. unit of electric charge is

  • coulomb per metre
  • coulomb metre
  • coulomb (correct)
  • per coulomb

The angle between equipotential surface and electric field is

  • 90° (correct)
  • 45°
  • 180°

Statement-I: The resistivity of metals increases with increase in temperature. Statement-II: Increasing the temperature of metals causes more frequent collisions of electrons.

  • both I and II are true but II is not the correct explanation of I.
  • both I and II are false.
  • both I and II are true and II is the correct explanation of I. (correct)
  • I is true but II is false.

A moving coil galvanometer can be converted into a voltmeter by connecting

<p>a high resistance in series with galvanometer. (C)</p> Signup and view all the answers

When a bar magnet is suspended freely, it points in the direction of

<p>north-south (B)</p> Signup and view all the answers

The energy stored in an inductor of inductance L in establishing the current I in it is

<p>LI² (A), LI² (D)</p> Signup and view all the answers

The displacement current is due to

<p>changing electric field (A)</p> Signup and view all the answers

An object of finite height is placed in front of a concave mirror within its focus. It forms

<p>a virtual enlarged image (C)</p> Signup and view all the answers

A beam of unpolarised light of intensity Io is passed through a pair of polaroids with their pass-axes inclined at an angle of θ. The intensity of emergent light is equal to

<p>Io cos² θ (C)</p> Signup and view all the answers

Emission of electrons from a metal surface by heating it is called

<p>thermionic emission (D)</p> Signup and view all the answers

When alpha particles are passed through a thin gold foil, most of them go undeviated because

<p>most of the region in an atom is empty space (A)</p> Signup and view all the answers

Nuclei with same atomic number are called

<p>isotopes (B)</p> Signup and view all the answers

The column-I is the list of materials and the column-II, the list of energy band gaps Eg. Identify the correct match.

<p>conductors = Eg &lt; 3 eV insulators = Eg = 0 eV semiconductors = Eg &gt; 3 eV</p> Signup and view all the answers

A molecule possessing permanent dipole moment is called ______ molecule.

<p>polar</p> Signup and view all the answers

The net magnetic flux through any closed surface is ______ .

<p>zero</p> Signup and view all the answers

A rotating vector used to represent alternating quantities is called ______ .

<p>phasor</p> Signup and view all the answers

A wavefront is a surface of constant ______ .

<p>phase</p> Signup and view all the answers

In interaction with matter, light behaves as if it is made up of packet of energy called ______ .

<p>photon</p> Signup and view all the answers

State and explain Gauss's law in electrostatics.

<p>Gauss's law in electrostatics states that the total electric flux through any closed surface is proportional to the enclosed electric charge. This flux is defined as the surface integral of the electric field over the closed surface. <strong>ΦE = ∑Qi / ε0</strong> Where ΦE is the electric flux, Qi is the enclosed charge, and ε0 is the permittivity of free space. Gauss's law implies that the electric field is stronger near a higher charge concentration and that electric field lines originate from positive charges and terminate on negative charges.</p> Signup and view all the answers

Define drift velocity and mobility of free electrons in conductors.

<p>Drift velocity refers to the average velocity attained by free electrons in a conductor when an electric field is applied. It is a constant average velocity that the electrons achieve while moving randomly due to collisions with atoms in the conductor. The direction of the drift velocity is opposite to the direction of the electric field. Mobility (µ) of free electrons is a measure of their ability to move in an electric field. It is defined as the drift velocity per unit electric field: µ = vd / E. Higher mobility implies that electrons can move freely in the conductor and experience less resistance to their motion.</p> Signup and view all the answers

A long air-core solenoid of 1000 turns per unit length carries a current of 2 A. Calculate the magnetic field at the mid-point on its axis.

<p>The magnetic field at the midpoint of a long solenoid can be calculated using the following formula: B = µ0nI where, B is the magnetic field strength, µ0 is the permeability of free space (4π × 10⁻⁷ T m/A), n is the number of turns per unit length (1000 turns/m in this case), I is the current through the solenoid (2 A). Therefore, B = (4π × 10⁻⁷ T m/A) × (1000 turns/m) × (2 A) = 8π × 10⁻⁴ T or approximately 2.51 × 10⁻³ T.</p> Signup and view all the answers

Give the principle of AC generator. Why is a current induced in an AC generator called alternating current?

<p>The principle of an AC generator is based on Faraday's law of electromagnetic induction. When a coil rotates in a magnetic field, the magnetic flux through the coil changes with time, inducing an electromotive force (EMF) in the coil. This EMF is then an alternating current as it changes direction periodically with the rotation of the coil. As the coil rotates, the magnetic flux linked with it changes continuously. This changing flux induces an EMF in the coil according to Faraday's law. The induced EMF is alternating because the magnetic flux changes sinusoidally as the coil rotates. This changing EMF causes the current to flow back and forth through the coil, resulting in alternating current (AC).</p> Signup and view all the answers

Write any two uses of ultraviolet radiations.

<p>Ultraviolet (UV) radiation has various applications, including:</p> <ol> <li>Sterilization: UV radiation can be used to sterilize surfaces, medical equipment, and water supplies. It damages the DNA of microorganisms, killing them effectively.</li> <li>Medical treatment: UV radiation is used in phototherapy to treat certain skin conditions like psoriasis and vitiligo. It also serves as a treatment for seasonal affective disorder (SAD).</li> </ol> Signup and view all the answers

Name the objective used in a) refracting type telescope and b) reflecting type telescope.

<p>a) The objective lens used in a refracting telescope is a convex lens. b) The objective mirror used in a reflecting telescope is a concave mirror.</p> Signup and view all the answers

Write the two conditions for the total internal reflection to occur.

<p>Total internal reflection occurs when a light ray travels from a denser medium to a rarer medium (for example, from water to air) and the angle of incidence is greater than the critical angle. Here are the two conditions:</p> <ol> <li>The light ray must travel from a denser medium to a rarer medium. The refractive index of the denser medium must be greater than that of the rarer medium.</li> <li>The angle of incidence must be greater than the critical angle, which is the angle of incidence at which the refracted ray grazes along the interface between the two media.</li> </ol> Signup and view all the answers

Name the majority and the minority charge carriers in n-type semiconductor.

<p>In an n-type semiconductor, the majority charge carriers are electrons, and the minority charge carriers are holes. This type of semiconductor is achieved by doping a pure semiconductor (like silicon) with a pentavalent element (like arsenic) which has five valence electrons. These extra electrons become free electrons, increasing the electron concentration and making it the majority carrier.</p> Signup and view all the answers

Write any three properties of electric field lines.

<p>Here are three important properties of electric field lines:</p> <ol> <li>Electric field lines always originate from positive charges and terminate at negative charges. They never start or end in mid-air.</li> <li>Electric field lines never intersect each other. If they did intersect, it would mean that the electric field has two different directions at the point of intersection, which is impossible.</li> <li>The density of electric field lines indicates the strength of the electric field. A region with a higher density of field lines corresponds to a stronger electric field.</li> </ol> Signup and view all the answers

Obtain the expression for the effective capacitance of two capacitors connected in parallel.

<p>When two capacitors are connected in parallel, the effective capacitance (Ceq) is given by the sum of their individual capacitances (C1 and C2). This is because the voltage across both capacitors is the same, and the total charge stored is the sum of the charges stored on each capacitor. Ceq = C1 + C2</p> Signup and view all the answers

What is Lorentz force? Write its expression and explain the terms.

<p>The Lorentz force is the force experienced by a charged particle moving in a magnetic field. It is given by: F = q(v × B) Where: F is the Lorentz force vector q is the charge of the particle v is the velocity vector of the particle B is the magnetic field vector The cross product (×) indicates that the direction of the force is perpendicular to both the velocity vector and the magnetic field vector.</p> Signup and view all the answers

Write any three differences between diamagnetic and paramagnetic materials.

<p>Diamagnetic and paramagnetic materials are classified based on their response to an external magnetic field:</p> <ol> <li>Diamagnetic materials are weakly repelled by an external magnetic field. This is because the magnetic dipole moments of atoms in diamagnetic materials are induced by the external magnetic field and are aligned opposite to the field direction, leading to a weak repulsion.</li> <li>Paramagnetic materials are weakly attracted by an external magnetic field. This is because the magnetic dipole moments of atoms in paramagnetic materials are aligned with the external magnetic field, leading to a weak attraction.</li> <li>Diamagnetism is a universal phenomenon, present in all materials. However, it is often overshadowed by paramagnetism or ferromagnetism in materials that exhibit stronger magnetic properties.</li> <li>Diamagnetic materials have negative magnetic susceptibility, while paramagnetic materials have positive magnetic susceptibility.</li> </ol> Signup and view all the answers

Describe an experiment to demonstrate the phenomenon of electromagnetic induction using a bar magnet and a coil.

<p>An experiment to demonstrate electromagnetic induction using a bar magnet and a coil can be conducted as follows:</p> <ol> <li>Set up: Place a coil of wire connected to a galvanometer on a horizontal surface. A bar magnet is held near the coil.</li> <li>Induction: Move the bar magnet towards the coil. As the magnet approaches the coil, the magnetic flux through the coil changes, inducing an electromotive force (EMF), which in turn causes a current to flow through the coil. This current will be detected by a needle deflection on the galvanometer.</li> <li>Observation: The needle of the galvanometer will deflect when the magnet is moving towards the coil. The direction of the deflection will depend on the direction of the magnet's movement relative to the coil and its north or south pole.</li> <li>Experiment: Repeat the process by moving the magnet away from the coil. The galvanometer will show a deflection in the opposite direction.</li> <li>Conclusion: The experiment demonstrates that a changing magnetic flux through a coil induces an EMF and current in the coil, a phenomenon known as electromagnetic induction.</li> </ol> Signup and view all the answers

Give any three results of experimental study of photoelectric effect.

<p>The photoelectric effect is the emission of electrons from a metal surface when light of suitable frequency falls on it. Here are three important experimental results:</p> <ol> <li>Threshold Frequency: The photoelectric effect only occurs when the incident light's frequency is above a certain minimum value called the threshold frequency. This frequency is specific to the material of the metal surface.</li> <li>Instantaneous Emission: Electron emission occurs instantaneously, as soon as the light of sufficient frequency falls on the surface. This suggests that the electrons absorb energy from the light in discrete packets called photons.</li> <li>Kinetic Energy: The kinetic energy of the emitted electrons is directly proportional to the frequency of the incident light. The kinetic energy of the emitted electrons is given by KE = hf - W where h is Planck's constant, f is the frequency of the incident light, and W is the work function representing the minimum energy required to eject an electron from the metal surface.</li> </ol> Signup and view all the answers

Write the three postulates of Bohr's atom model.

<p>Bohr's atomic model proposed a quantized structure for the hydrogen atom, revolutionizing our understanding of atomic structure. Its key postulates are:</p> <ol> <li>Quantized Electron Orbits: Electrons in atoms occupy specific circular orbits around the nucleus where they are allowed to exist without emitting energy. These allowed orbits, called stationary states, are characterized by specific values of energy, angular momentum, and radius.</li> <li>Energy Emission and Absorption: An electron can only transition from a stationary state to another by absorbing or emitting a photon of light. When an electron jumps from a higher energy level to a lower energy level, it emits a photon with energy equal to the difference in energy between the two levels. Conversely, an electron absorbs a photon with energy matching the energy difference to jump from a lower energy level to a higher one.</li> <li>Quantization of Angular Momentum: The angular momentum of an electron in a stationary orbit is quantized, meaning it can only take on specific discrete values. This is described by the equation: L = nh/2π, where L is the angular momentum, n is a positive integer (representing the principal quantum number), and h is Planck's constant.</li> </ol> Signup and view all the answers

Find the energy equivalent of one atomic mass unit, first in joule and then in MeV. Given: 1u = 1.6605 × 10⁻²⁷ kg, e = 1.602 × 10⁻¹⁹ C and c = 2.9979 × 10⁸ m s⁻¹.

<p>The energy equivalent of one atomic mass unit (1u) can be calculated using Einstein's famous mass-energy equivalence equation, E = mc²: Where: E is the energy equivalent of the mass m is the mass (in kg) c is the speed of light (3 x 10⁸ m/s) E = (1.6605 × 10⁻²⁷ kg) × (2.9979 × 10⁸ m/s)² ≈ 1.4924 × 10⁻¹⁰ J To convert the energy from joules to MeV (mega-electron volts), we use the conversion factor: 1 MeV = 1.602 × 10⁻¹³ J Therefore, E ≈ (1.4924 × 10⁻¹⁰ J) / (1.602 × 10⁻¹³ J/MeV) ≈ 931.5 MeV</p> Signup and view all the answers

Derive the expression for the electric field at a point on the axis of an electric dipole.

<p>Consider an electric dipole consisting of two equal and opposite charges (+q and -q) separated by a distance 2a. We want to find the electric field at a point P on the axis of the dipole, at a distance r from the center of the dipole. Using Coulomb's law to find the electric field due to each charge separately:</p> <ul> <li>Electric field due to +q: E1 = (kq)/(r-a)² directed away from +q</li> <li>Electric field due to -q: E2 = (kq)/(r+a)² directed towards -q The net electric field at point P is the vector sum of E1 and E2. Since both fields are along the same direction (axis), we can add them algebraically. Therefore, E = E1 + E2 = (kq)/(r-a)² + (kq)/(r+a)² After simplification, we get the expression for the electric field on the axis of a dipole: E = (2kqa)/(r²-a²)²</li> </ul> Signup and view all the answers

Two cells of different emfs and different internal resistances are connected in series. Derive the expression for effective emf and effective internal resistance of the combination.

<p>Let two cells with emfs E1, E2 and internal resistances r1, r2 be connected in series. The effective emf (E) of the combination is the sum of the individual emfs, and the effective internal resistance (r) is the sum of individual resistances, since the current flows through both cells in series:</p> <ul> <li>Effective emf (E) = E1 + E2</li> <li>Effective internal resistance (r) = r1 + r2</li> </ul> Signup and view all the answers

Flashcards

What's the SI unit of electric charge?

The SI unit for electric charge is the coulomb (C), named after Charles-Augustin de Coulomb, a French physicist who studied electrostatic forces.

Angle between Equipotential Surface and Electric Field

The angle between an equipotential surface and the electric field is always 90 degrees. This is because the electric field lines are always perpendicular to the equipotential surfaces. Imagine a hill, the electric field lines are like the slopes and the equipotential surfaces are like the contours.

Why does resistivity increase with temperature?

The resistivity of a metal increases with temperature because the increased thermal motion of the atoms within the metal causes more frequent collisions between the electrons and the atoms, hindering the flow of electrons.

How to convert a galvanometer into a voltmeter?

A moving coil galvanometer can be converted into a voltmeter by connecting a high resistance in series with the galvanometer. This is because the voltage across the galvanometer is proportional to the current flowing through it. By adding a high resistance, the current is reduced, and the voltage across the galvanometer is increased.

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How does a freely suspended bar magnet align?

When a bar magnet is suspended freely, it aligns itself with the Earth's magnetic field, pointing from the magnetic south pole to the magnetic north pole, which is roughly aligned with the geographic north-south direction. The magnetic north pole of the magnet is attracted to the Earth's geographic north.

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Energy stored in an inductor

The energy stored in an inductor of inductance L when a current I is established is given by 1/2 * L * I^2. This energy represents the work done to build up the magnetic field within the inductor.

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Direction of induced current

The direction of current induced in the loop 'abc' will be along the direction of 'abc' if the current I is increasing. This can be determined using Lenz's Law, which states that the induced current opposes the change in magnetic flux. The increasing current creates a magnetic field that opposes the field generated by the loop.

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What happens to current in a step-up transformer?

An ideal step-up transformer increases the voltage, but it decreases the current to maintain constant power. You can't get something for nothing! The power input to the transformer is equal to the power output (ignoring losses).

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What causes displacement current?

Displacement current is not due to the movement of charges, but rather the changing electric field. James Clerk Maxwell proposed this current to ensure continuity in electric fields.

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Image formed by an object between a concave mirror and its focal point

An object placed between a concave mirror and its focal point will form a virtual, enlarged, and upright image. The image is virtual because the light rays do not actually converge at the image location.

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Intensity of unpolarized light through polarizers

The intensity of unpolarized light passing through two polarizers with their pass-axes inclined at an angle θ is given by I = I0 * cos^2(θ). This is known as Malus's Law. Think of the polarizers as filters letting through only light waves vibrating in a specific direction.

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What is thermionic emission?

Thermionic emission is the process of emitting electrons from a metal surface due to heating the material. As the metal is heated, its electrons gain energy and can overcome the work function, escaping into the surrounding space.

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Why do alpha particles pass through gold foil undeflected?

Most alpha particles pass through a thin gold foil undeflected because the atom is mostly empty space. Ernest Rutherford's gold foil experiment led to this discovery.

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What are isotopes?

Nuclei with the same atomic number, which is the number of protons, are called isotopes. This means that isotopes of an element have the same chemical properties but different masses due to the varying number of neutrons.

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Energy band gaps of conductors, insulators, and semiconductors

Conductors have almost zero energy band gap (E = 0 eV), allowing electrons to freely move through the material. Insulators have a large energy band gap (E > 3 eV), prohibiting electron movement. Semiconductors have a small energy band gap (E < 3 eV), allowing conduction under specific conditions.

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What is a polar molecule?

A molecule with a permanent dipole moment is called a polar molecule. This means the molecule has an uneven distribution of charge, creating a positive and negative end. Think of the molecule as a tiny magnet.

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Net magnetic flux through a closed surface

The net magnetic flux through any closed surface is zero. This is a consequence of Gauss's law for magnetism, which states that magnetic monopoles do not exist.

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What is a phasor?

A rotating vector representing alternating quantities, such as voltage or current, is called a phasor. Think of a rotating arrow that changes in magnitude and direction to represent the sinusoidal nature of AC signals.

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What is a wavefront?

A wavefront is a surface where all points on the wave are in the same phase. It represents a region of constant phase. Think of it as a 'snapshot' of the wave at a specific moment in time.

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What are photons?

Light, particularly in its interaction with matter, exhibits wave-particle duality, behaving as if it's composed of packets of energy called photons.

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State Gauss's law in electrostatics

Gauss's law in electrostatics states that the total electric flux through any closed surface is proportional to the enclosed electric charge. This means the electric field lines start on positive charges and end on negative charges.

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Define drift velocity and mobility

Drift velocity is the average velocity of free electrons in a conductor under the influence of an electric field. Mobility is the ratio of drift velocity to the electric field, representing how easily electrons move in a material. Think of drift velocity as the average speed of electrons in a current, and mobility as how easily electrons move through the material.

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Calculate the magnetic field at the midpoint of a solenoid

The magnetic field at the midpoint of an air-core solenoid is given by B = μ₀ * n * I, where μ₀ is the permeability of free space, n is the number of turns per unit length, and I is the current. This formula assumes the solenoid is long and cylindrical.

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What is the principle of an AC generator?

The AC generator's principle is based on electromagnetic induction. When a coil rotates in a magnetic field, a changing magnetic flux induces an electromotive force (EMF) in the coil. This EMF is alternating due to the coil's continuous rotation.

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Uses of ultraviolet radiation

Ultraviolet radiation has applications in sterilization and medical treatments. UV light can kill bacteria and viruses, making it useful for sterilizing medical equipment and water. It can also be used for treating certain skin conditions.

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What are the objectives of a refracting and reflecting telescope?

Refracting telescopes use a convex lens as the objective, focusing light to form an image. Reflecting telescopes use a concave mirror as the objective, reflecting light to form an image.

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Conditions for total internal reflection

Total internal reflection occurs when light travels from a denser medium to a rarer medium (e.g., water to air) at an angle greater than the critical angle. The light is reflected back into the denser medium. Imagine light bouncing off the bottom of a swimming pool.

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Charge carriers in an n-type semiconductor

In an n-type semiconductor, the majority charge carriers are electrons, and the minority charge carriers are holes. This type of semiconductor results from doping a pure semiconductor with a pentavalent element (e.g., arsenic).

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Properties of electric field lines

Electric field lines can never cross each other, they always point in the direction of decreasing potential, and the density of field lines indicates the strength of the field. These properties help visualize electric fields.

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Effective capacitance of two capacitors connected in parallel

The effective capacitance of two capacitors connected in parallel is the sum of their individual capacitances. Think of it as increasing the total amount of charge the capacitors can store.

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What is the Lorentz force?

The Lorentz force is the force experienced by a charged particle moving in a magnetic field. It is given by F = q (v x B), where q is the charge, v is the velocity, and B is the magnetic field. Think of the force pushing the charged particle perpendicular to its velocity and the magnetic field.

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Differences between diamagnetic and paramagnetic materials

Diamagnetic materials are weakly repelled by magnetic fields, while paramagnetic materials are weakly attracted. They differ in how electrons are arranged and their magnetic moments in the absence of a field. Diamagnetic materials have paired electrons with opposing spins, while paramagnetic materials have unpaired electrons with aligned spins.

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Demonstrating electromagnetic induction

Electromagnetic induction can be demonstrated by moving a bar magnet into and out of a coil. When the magnet moves, the magnetic flux through the coil changes, inducing an electromotive force (EMF) in the coil. This EMF can be detected using a galvanometer.

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Results of photoelectric effect

Photoelectric effect experiments have shown that light consists of discrete packets of energy known as photons, the energy of which is proportional to the frequency of light. Also, the energy of a photon is required to overcome the work function of the metal, and the number of emitted electrons is proportional to the intensity of light.

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Bohr's atomic model postulates

Bohr's atomic model postulates that electrons orbit the nucleus in quantized energy levels, their energy is quantized and can only jump between discrete levels by absorbing or emitting photons, and the angular momentum of an electron is also quantized.

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Energy equivalent of one atomic mass unit

One atomic mass unit (u) is equivalent to 931.5 MeV (megaelectronvolt) of energy. This is calculated using Einstein's famous E=mc^2 equation, which relates energy and mass.

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Electric field on the axis of an electric dipole

The electric field at a point on the axis of an electric dipole is given by E = (kp * 2p * r)/(r^2 - a^2)^2, where kp is the Coulomb constant, p is the dipole moment, r is the distance from the center of the dipole, and a is the distance between the charges. Think of the electric field as being stronger closer to the dipole and weaker further away.

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Effective emf and internal resistance of two cells in series

For two cells connected in series, the effective emf is the sum of their individual emfs, and the effective internal resistance is the sum of their individual internal resistances. Think of combining the 'push' of the two cells and the 'resistance' within each cell when connected in series.

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Magnetic field on the axis of a current loop

The magnetic field at a point on the axis of a circular current loop is given by B = (μ₀ * I * R^2)/(2 * (R^2 + x^2)^(3/2)), where μ₀ is the permeability of free space, I is the current, R is the radius of the loop, and x is the distance from the center of the loop along the axis. Think about the magnetic field lines forming circles around the loop.

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Resultant displacement of two coherent waves

The resultant displacement of two coherent waves with a phase difference of φ is given by R = √(A1^2 + A2^2 + 2 * A1 * A2 * cos(φ)), where A1 and A2 are the amplitudes of the waves. The phase difference determines whether the waves interfere constructively (in phase) or destructively (out of phase).

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What is a rectifier? Explain full-wave rectification.

A rectifier converts alternating current (AC) into direct current (DC). A full-wave rectifier uses four diodes to rectify both positive and negative halves of the AC waveform, resulting in a DC output with a smaller ripple compared to a half-wave rectifier. Think of the diodes as one-way gates for current.

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Calculate potential and work done in moving a charge

The potential at a point due to a charge q is given by V = kq/r, where k is Coulomb's constant and r is the distance from the charge. The work done in moving a charge Q from infinity to a point with potential V is W = Q * V. Think of the potential as the energy per unit charge at a point.

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Current through galvanometer in a Wheatstone bridge

In the network provided, the current through the galvanometer (I3) can be calculated using Kirchhoff's laws. The current through the galvanometer is determined by the balance of currents in the branches of the Wheatstone bridge.

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Current leads or lags voltage in an RLC circuit

The current in an RL-C circuit will either lead or lag the voltage depending on the reactances of the inductor and capacitor. In this case, the inductive reactance (XL = 2πfL) is 314 Ω, and the capacitive reactance (XC = 1/(2πfC)) is 354 Ω. Since XC > XL, the current leads the voltage. The phase difference between the current and voltage is given by tan φ = (XC - XL)/R = 0.4, meaning the phase difference is approximately 21.8 degrees.

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Refractive index and minimum deviation of a prism

The refractive index of the prism can be determined using the formula n = sin((A + Dm)/2)/sin(A/2), where A is the prism angle and Dm is the angle of minimum deviation. In this case, n = 1.53. If the prism is placed in water, the angle of minimum deviation will change due to the change in the refractive index of the surrounding medium. The new minimum deviation can be calculated using the same formula but with the refractive index of water taken into account. In this case, the new angle of minimum deviation is approximately 25 degrees.

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Study Notes

General Instructions

  • All parts (A to D) are compulsory, Part E is only for visually impaired students.
  • For Part A questions, the first written answer will be considered for marking.
  • Answers without relevant diagrams, figures or circuits will not receive any marks.
  • Numerical answers without supporting formulas and detailed solutions will not receive any marks.

Part A - Multiple Choice Questions

  • Electric charge unit: coulomb (C)
  • Angle between equipotential surface and electric field: 90°
  • Metals' resistivity and temperature: Resistivity increases with temperature due to more frequent electron collisions. Both statements are true, but the explanation of the second statement is correct.
  • Converting galvanometer to voltmeter: Connect a high resistance in series with the galvanometer.
  • Direction of a suspended bar magnet: North-South.
  • Energy stored in an inductor (L) with current (I): LI²

Part B - Short Answer Questions

  • Gauss's Law in electrostatics: The net electric flux through any closed surface is proportional to the enclosed charge.
  • Drift velocity and mobility: Drift velocity and mobility are measures of how electrons move in a conductor.
  • Solenoid magnetic field: The magnetic field strength at the midpoint of a solenoid is calculated based on the number of turns per unit length and the current.
  • AC generator principle: The relative motion between a magnetic field and a coil induces an alternating current.
  • Ultraviolet radiation uses: Two applications are mentioned (but not specified).
  • Refracting telescope objective: A convex lens collects light.
  • Reflecting telescope objective: A concave mirror collects light.
  • Total internal reflection conditions: A light ray moving from a denser to a less dense material must meet the boundary at an angle greater than the critical angle.
  • n-type semiconductor carriers: Majority carriers are electrons and minority carriers are holes.

Part C - Detailed Answer Questions

  • Electric field lines properties: Three properties are requested (but not specified).
  • Parallel capacitor combination formula: (1/Ceff) = (1/C1) + (1/C2) + ...
  • Lorentz force: The force on a charged particle moving in a magnetic field.
  • Diamagnetism and paramagnetism differences: Explained for three points.
  • Electromagnetic induction experiment: Describe an experiment of using a bar magnet and a coil to demonstrate electromagnetic induction.
  • Photoelectric effect results: Three results are requested, (but not specified)
  • Bohr's atomic model postulates: Three postulates are requested, (but not specified).
  • Energy equivalent of atomic mass unit: Calculations to produce an energy value via mass-energy conversion.

Part D - Problem Solving

  • Electric dipole field: Derive the expression for the electric field at a point along the axis of an electric dipole.
  • Series connected cells: Derive the expression for effective emf and internal resistance when cells are connected in series.
  • Circular current loop's magnetic field: Derive the expression for the magnetic field at a point along the axis of a circular current loop.
  • Interference resultant displacement: The resultant displacement when two waves interfere depends on their phase difference.
  • Rectifier: A rectifier converts alternating current (AC) to direct current (DC).
  • Electrostatic potential at a point: Calculate the potential at a point due to a charge.
  • Work done in moving a charge: Calculate the work done in moving a charge in a field.
  • Network current: Find the required current (I3) in a network of resistors.
  • AC RLC circuit: Calculate the phase difference in a circuit combination of resistors(R), inductors(L) and capacitors (C).
  • Prism refractive index: Calculating the refractive index of a prism given certain details.

Part E - Visually Impaired Questions

  • Circular loop induced current direction: Determine the direction of the induced current as a straight conductor carrying current changes its current direction.
  • Wheatstone bridge circuit current: Calculate the current in the galvanometer.

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