Electric Fields, Potentials and Spheres Quiz

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Questions and Answers

What is the relation between the potential at points A, B, and C, if an uniform electric field points in the positive X-direction, and A is at the origin, B is at x = +1 cm, and C is at y = +1 cm?

  • VA > VC (correct)
  • VA > VB (correct)
  • VA < VB
  • VA < VC

A conducting wire connects two charged conducting spheres with radii r1 and r2, achieving equilibrium. The distance between the spheres is much larger than their radii. What is the ratio of the electric field magnitudes at the surfaces of the spheres with radii r1 and r2?

  • r1:r2
  • r2:r1
  • 1:1 (correct)
  • r1^2:r2^2

A long straight wire with a circular cross-section of radius 'a' carries a steady current I, uniformly distributed. What is the ratio of the magnitudes of the magnetic field at a point 'a' above the wire's surface to that at a point 'a' below the surface?

  • 3:4
  • 4:3
  • 1:1 (correct)
  • 4:1

Which of these waves exhibit diffraction?

<p>Sound waves as well as light waves (C)</p> Signup and view all the answers

A capacitor has two parallel plates with an area of 0.001 m² and a separation of 0.0001 m. The voltage across the plates changes at a rate of 10⁸ V/s. Calculate the displacement current through the capacitor.

<p>8.85 x 10⁻³ A (B)</p> Signup and view all the answers

Match the following waves with their production mechanisms.

<p>1 - S, 2 - R, 3 - P, 4 - Q (B)</p> Signup and view all the answers

An alpha particle approaches a nucleus with a closest approach distance of 'd' when its speed is 'V'. A second alpha particle, with higher energy, results in a new closest approach distance of 'd/2'. Determine the speed of the second alpha particle.

<p>2√2 V (C)</p> Signup and view all the answers

What is the principle behind the operation of an AC generator?

<p>Electromagnetic Induction (D)</p> Signup and view all the answers

What is the purpose of the slip rings in an AC generator?

<p>To provide a path for current to flow from the armature to the external circuit (C)</p> Signup and view all the answers

What is the formula for the peak value of the induced EMF in an AC generator?

<p>$e_0 = nAB$ (A)</p> Signup and view all the answers

What is the main function of a transformer?

<p>To convert high voltage to low voltage or vice versa (B)</p> Signup and view all the answers

What is the role of the soft iron core in a transformer?

<p>All of the above (D)</p> Signup and view all the answers

What is the relationship between the number of turns in the primary and secondary coils of a transformer and the voltage ratio?

<p>$e_S/e_P = N_S/N_P$ (D)</p> Signup and view all the answers

What is the main purpose of Kirchhoff's Current Law?

<p>To analyze the flow of current in a circuit (D)</p> Signup and view all the answers

How does Kirchhoff's Voltage Law differ from Kirchhoff's Current Law?

<p>Kirchhoff's Voltage Law deals with the conservation of energy, while Kirchhoff's Current Law deals with the conservation of charge (B)</p> Signup and view all the answers

What is the resistance of a cell at room temperature if the voltage is 100V and the current is 10A?

<p>9 (B)</p> Signup and view all the answers

How does the resistance of a cell change with temperature?

<p>Resistance increases with increasing temperature (A)</p> Signup and view all the answers

What is the formula for calculating the power consumed by a cell?

<p>All of the above (D)</p> Signup and view all the answers

In a balanced Wheatstone bridge, what is the current flowing through the galvanometer?

<p>Zero (A)</p> Signup and view all the answers

When is a Wheatstone bridge most sensitive?

<p>When all four arms have equal resistance (D)</p> Signup and view all the answers

What is the relationship between the resistances in a balanced Wheatstone bridge?

<p>$P/Q = R/S$ (A)</p> Signup and view all the answers

What is the primary purpose of the galvanometer in a Wheatstone bridge?

<p>To indicate the balance point of the bridge (B)</p> Signup and view all the answers

When a Wheatstone bridge is balanced, what is the equivalent resistance of the bridge?

<p>Cannot be determined (B)</p> Signup and view all the answers

What is the distance of the virtual image from the surface of the sphere?

<p>4 cm (C)</p> Signup and view all the answers

What phenomenon causes the colors observed on a CD (Compact Disk)?

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

What factor primarily determines the number of electrons available for conduction by dopant atoms?

<p>Doping level (A)</p> Signup and view all the answers

If a copper wire is stretched so that its radius decreases by 0.1%, what is the approximate percentage change in its resistance?

<p>+0.4% (A)</p> Signup and view all the answers

Consider the Assertion and Reason given below: Assertion (A): On increasing the current sensitivity of a galvanometer by increasing the number of turns may not necessarily increase its voltage sensitivity. Reason (R): The resistance of the coil of the galvanometer increases on increasing the number of turns. Which of the following is correct?

<p>If both Assertion and Reason are true and Reason is the correct explanation of Assertion. (A)</p> Signup and view all the answers

Consider the Assertion and Reason given below: Assertion (A): In a hydrogen atom there is only one electron but its emission spectrum shows many lines. Reason (R): In a given sample of hydrogen there are many atoms each containing one electron; hence many electrons in different atoms may be in different orbits so many transitions from higher to lower orbits are possible. Which of the following is correct?

<p>If both Assertion and Reason are true and Reason is the correct explanation of Assertion. (B)</p> Signup and view all the answers

Consider the Assertion and Reason given below: Assertion (A): Nuclei having mass numbers around 60 are least stable. Reason (R): When two or more light nuclei are combined into a heavier nucleus then the binding energy per nucleon will decrease. Which of the following is correct?

<p>If both Assertion and Reason are false. (C)</p> Signup and view all the answers

Consider the Assertion and Reason given below: Assertion (A): The de Broglie wavelength of a freely falling body keeps decreasing with time. Reason (R): The momentum of a freely falling body increases with time. Which of the following is correct?

<p>If both Assertion and Reason are true and Reason is the correct explanation of Assertion. (D)</p> Signup and view all the answers

What is the minimum wavelength associated with an electron ejected from a platinum surface having a work function of 5.63 eV when illuminated by a monochromatic source of 1.6 x 10^15 Hz?

<p>1.24 x 10^-7 m (D)</p> Signup and view all the answers

In a Young's double-slit experiment using two wavelengths, 4000 Angstrom and 6000 Angstrom, what is the least distance from the central maximum where a dark fringe is obtained?

<p>12000 Angstrom (B)</p> Signup and view all the answers

In Young's double-slit experiment, if the intensity of light at a point where the path difference between wavefronts is λ/4 is I, what is the intensity of the two sources?

<p>2I (B)</p> Signup and view all the answers

Two identical charged particles, each with a mass of 4 x 10^-26 kg and a charge of 4.8 x 10^-19 C, are moving at the same speed of 2.4 x 10^5 m/s. They are equidistant (0.5 m) from the vertical Y-axis. A magnetic field is switched on so that the particles undergo a head-on collision. What is the direction of the magnetic field?

<p>Along the positive X-axis (B)</p> Signup and view all the answers

A proton moving at 2 x 10^5 m/s enters a uniform magnetic field of 1.5 T at an angle of 30 degrees to the field direction. What is the pitch of the helical path described by the proton?

<p>2.12 x 10^-4 m (C)</p> Signup and view all the answers

Based on the binding energy per nucleon vs mass number curve for nuclei, which of the following nuclei is most likely to undergo nuclear fission?

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

Identify which of the following nuclei is most likely to undergo nuclear fusion?

<p>Z (5.0 MeV, 30) (A)</p> Signup and view all the answers

Which device is used to convert AC into DC?

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

What is the frequency of the output of a half-wave rectifier for a 60 Hz AC input?

<p>60 Hz (C)</p> Signup and view all the answers

A dielectric slab of thickness 't' is inserted in a parallel plate capacitor with a plate separation of 'd'. The capacitance is increased. Which of the following relations is correct for this situation?

<p>t &lt; d, C &gt; C0 (B)</p> Signup and view all the answers

What is the dielectric constant of a metallic slab?

<p>∞ (A)</p> Signup and view all the answers

What is the purpose of the mirror objective in a reflecting telescope?

<p>To gather more light and produce brighter images (D)</p> Signup and view all the answers

A spherical mirror has a radius of curvature of 150 mm. What is its focal length?

<p>75 mm (D)</p> Signup and view all the answers

What is the image distance (v2) for the secondary mirror in the reflecting telescope described in the content, if the object is at infinity?

<p>1200 mm (A)</p> Signup and view all the answers

At what temperature does the resistance of a thermistor become practically zero?

<p>0 K (C)</p> Signup and view all the answers

In a circuit with a diode and a bulb, when the switch is closed, the diode is forward biased. What happens to the bulb's brightness?

<p>The bulb becomes dimmer (C)</p> Signup and view all the answers

What is the main reason for the formation of a potential barrier in a p-n junction?

<p>Formation of a depletion layer due to the movement of charge carriers (D)</p> Signup and view all the answers

How does forward biasing affect the width of the depletion region in a p-n junction?

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

A charged ball of mass 10^-2 kg and charge 10 mC moves in a uniform magnetic field of 2 T. What is the minimum velocity required for the ball to remain suspended in the magnetic field?

<p>4.9 m/s (A)</p> Signup and view all the answers

In which direction should the magnetic field be applied to ensure that the charged ball in the previous question experiences an upward force?

<p>North to South (D)</p> Signup and view all the answers

A light ray enters a prism perpendicular to one of its faces. The angle of incidence on the second face is 45°. If the refractive index of the prism is √2, what is the angle of refraction?

<p>60° (A)</p> Signup and view all the answers

A prism is surrounded by a liquid with a refractive index of 2/√3. If the refractive index of the prism is √2, what is the critical angle for the pair of media (glass and liquid)?

<p>54.6° (C)</p> Signup and view all the answers

If the angle of incidence on the second face of the prism in the previous question is 45° and the critical angle is 54.6°, what happens to the light ray?

<p>It passes through the surface and undergoes refraction (A)</p> Signup and view all the answers

What is the angle of emergence (e) of a light ray that enters an equilateral prism at an angle of incidence (i) of x degrees, where x is the angle of emergence?

<p>x (A)</p> Signup and view all the answers

What is the refractive index of the equilateral prism described in the previous question, if the angle of deviation (δ) is 30°?

<p>√2 (D)</p> Signup and view all the answers

What is Gauss's theorem?

<p>The flux of the electric field through a closed surface is proportional to the charge enclosed by the surface (A)</p> Signup and view all the answers

What is the electric field due to an infinitely long line charge with linear charge density λ at a distance r from the line charge?

<p>λ/(2πε0r) (A)</p> Signup and view all the answers

What is the electric field due to an infinite plane sheet of charge with surface charge density σ?

<p>σ/(2ε0) (C)</p> Signup and view all the answers

What happens to the width of the depletion region in a p-n junction diode when it is forward biased?

<p>It decreases. (B)</p> Signup and view all the answers

In the scenario of the charged spherical ball inside a non-conducting pipe, what is the direction of the magnetic field required to keep the ball stationary?

<p>West to East (D)</p> Signup and view all the answers

What is the refractive index of the prism material in Fig. 1, given that the light ray grazes along the interface AC?

<p>1.732 (D)</p> Signup and view all the answers

When the side AC of the prism is surrounded by a liquid of refractive index √2, what happens to the light ray at the interface?

<p>It continues to graze along the interface AC. (A)</p> Signup and view all the answers

What is the angle of minimum deviation for a ray of light passing symmetrically through an equilateral prism?

<p>60° (B)</p> Signup and view all the answers

What is Gauss's theorem in electrostatics?

<p>The electric flux through any closed surface is proportional to the total charge enclosed by the surface. (C)</p> Signup and view all the answers

Which of the following statements is TRUE about the electron's motion in a magnetic field?

<p>The electron will experience a force perpendicular to both the magnetic field and its velocity. (B)</p> Signup and view all the answers

In the given scenario, if the boy holds the non-conducting pipe horizontally, what will happen to the charged ball?

<p>It will remain stationary. (A)</p> Signup and view all the answers

What is the relationship between the drift velocity of electrons in a conductor and the relaxation time?

<p>Drift velocity is directly proportional to relaxation time. (A)</p> Signup and view all the answers

What is the average drift velocity of electrons in an alternating current?

<p>It is zero. (D)</p> Signup and view all the answers

Which component is responsible for converting AC to DC in the given circuit?

<p>Full-Wave Rectifier (B)</p> Signup and view all the answers

What is the distance of closest approach of an alpha particle to a gold nucleus in Rutherford's scattering experiment if the initial kinetic energy of the alpha particle is doubled?

<p>It is halved. (D)</p> Signup and view all the answers

Which phenomenon is responsible for the spreading of light waves as they pass through a narrow opening?

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

What is the primary factor influencing the width of the depletion region in a p-n junction diode?

<p>Doping level (D)</p> Signup and view all the answers

What is the percentage change in the wavelength of light when it travels from air to water, assuming the refractive index of water is 1.33?

<p>-33.3% (D)</p> Signup and view all the answers

The given content explains what happens to the width of the depletion region in a p-n junction diode when forward biased. What happens to the resistance of the diode?

<p>Resistance decreases. (B)</p> Signup and view all the answers

Flashcards

Electric Potential Comparison

The electric potential at points A, B, and C in a uniform field shows relationships: VA < VB and VA > VC.

Conducting Spheres Equilibrium

When connected, two charged conducting spheres reach equal electric potential despite different radii.

Magnetic Field Ratio in Wire

In a steady current wire, magnetic field ratios above and below surface are 4:1.

Diffraction Effect

The diffraction effect can be observed in both sound and light waves.

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Displacement Current in Capacitor

Displacement current through the capacitor with varying voltage is calculated based on area and rate of voltage change.

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Voltage in Series LCR Circuit

When capacitance is short-circuited in an LCR circuit, the voltage across inductance remains 10 V.

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Column Matching Waves and Production

Match different types of waves (Infra-red, Radio, Light, Microwave) with their production mechanisms correctly.

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Alpha Particle Closest Approach

The distance of closest approach for an alpha particle increases with its kinetic energy (speed), proportional to initial speed V.

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Virtual Image Distance

The measured distance of a virtual image from the surface of a sphere.

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Colors on a CD

Observed colors are due to the diffraction of light.

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Dopant Atoms Conductivity

The availability of electrons for conduction is influenced by doping level, temperature, and energy gap.

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Change in Resistance

Stretching a copper wire by 0.1% leads to an approximate +0.4% change in resistance.

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Assertion and Reason

Use to evaluate two statements, determining if they are true and if one explains the other.

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Hydrogen Emission Spectrum

Shows many lines due to multiple hydrogen atoms with single electrons in various orbits.

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Binding Energy and Stability

Nuclei with mass numbers around 60 are least stable due to lower binding energy per nucleon.

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de Broglie's Wavelength

de Broglie's wavelength of a freely falling body decreases as its momentum increases.

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Photoelectric Effect

Minimum wavelength is related to work function and frequency of incoming light.

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Interference Fringes

Created in a Young’s double-slit experiment by using two wavelengths.

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Drift Velocity

Free electrons drift opposite to the electric field, dependent on relaxation time.

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Nuclear Fission vs Fusion

Nuclear fission splits heavy nuclei while fusion combines light nuclei.

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Capacitance of a Capacitor

Capacitance depends on area, separation, and presence of dielectrics.

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Ideal Diode Behavior

The bulb glows when there’s a conductive path, depending on the switch state.

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Cassegrain Telescope

Uses two mirrors to focus light and provide an image of distant objects.

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Barrier Potential

The voltage barrier at a p-n junction preventing electron flow when reverse biased.

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Depletion Region

The region around a p-n junction with no free charge carriers in equilibrium.

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Forward Bias

Condition where the p-side is connected to a positive voltage and n-side to negative, reducing barrier potential.

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Reverse Bias

Condition where the p-side is connected to a negative voltage and n-side to positive, increasing barrier potential.

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Magnetic Field Direction

The direction in which the magnetic force acts on a moving charge.

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Refractive Index

A measure of how much the speed of light is reduced in a medium compared to a vacuum.

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Total Internal Reflection

Phenomenon where light is completely reflected at the boundary of a medium when incidence angle exceeds critical angle.

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Electric Flux

The quantity of electric field lines passing through a surface area.

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Gauss's Law

The electric flux through a closed surface is proportional to the charge enclosed.

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Electric Field from Infinite Plane Sheet

Derived from Gauss's Law, the electric field is constant at all points due to uniform charge distribution.

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Minimum Deviation Angle

The smallest angle at which light can pass through a prism symmetrically.

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Nuclear Fission

Process where a heavy nucleus splits into smaller nuclei, releasing energy.

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Nuclear Fusion

Process where two light nuclei combine to form a heavier nucleus, releasing energy.

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Rectifier

A device that converts alternating current (AC) to direct current (DC).

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Gauss’s Theorem

The total electric flux through a closed surface is proportional to the charge enclosed.

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Kirchhoff’s First Law

The sum of currents entering a junction equals the sum of currents leaving it.

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Kirchhoff’s Second Law

The algebraic sum of potential differences in a closed loop is zero.

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Wheatstone Bridge Sensitivity

Sensitivity refers to the deflection in a galvanometer per unit change in resistance.

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Wheatstone Bridge Condition

A Wheatstone bridge is balanced when no current flows through the galvanometer.

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AC Generator Principle

Converts mechanical energy into electrical energy using electromagnetic induction.

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Armature in AC Generator

A rectangular coil wound on a soft-iron core, crucial for inducing emf.

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Transformer Function

A device that changes low AC voltage to high voltage and vice versa.

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Transformers Use

Used to transmit power efficiently over distances by converting voltage levels.

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Peak Induced EMF

The maximum value of induced electromotive force in an AC generator.

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Resistance Calculation

Resistance R at temperature T incorporates temperature coefficient α.

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Ohm's Law for Power

Power consumed in a resistor is P = I²R.

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Induced EMF Equation

The induced emf e in a coil is given by e = dφ/dt.

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Slip Rings in AC Generator

Ring connections that transfer current from the rotating armature to the external circuit.

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Field Magnet

A strong electromagnet that creates a magnetic field in which the armature rotates.

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Potential Difference

The difference in electric potential across a component; can be positive or zero.

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Half Wave Rectifier

An electronic circuit that allows only one half of the AC wave to pass, output frequency is the same as input.

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Full Wave Rectifier

An electronic circuit that allows both halves of the AC wave to convert into DC, doubles the output frequency.

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Capacitance in Dielectrics

The capacitance of a capacitor increases when a dielectric material is inserted.

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Gauss's Theorem

The total electric flux through a closed surface is proportional to the charge enclosed.

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Electric Field from Line Charge

The electric field intensity at a point due to an infinite line charge.

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Electric Field from Plane Sheet

The electric field due to an infinite plane sheet of charge is uniform and perpendicular.

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Fleming's Left-Hand Rule

A rule to determine the direction of force on a current-carrying conductor in a magnetic field.

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Reflection in Prisms

The behavior of light as it passes through different interfaces in prisms, leading to various angles.

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Critical Angle

The angle of incidence above which total internal reflection occurs.

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Induced Charges

Charges that appear on a dielectric slab when placed in an electric field.

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Magnitude of Force on Charges

The force experienced by a charge in a magnetic field is related to its velocity and the field strength.

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Study Notes

Electric Fields and Potentials

  • A uniform electric field in the positive X-direction exists. Points A, B, and C are defined: A at the origin, B at x = +1 cm on the X-axis, and C at y = +1 cm on the Y-axis.
  • Potential at point A (VA) is less than the potential at point B (VB).
  • Potential at point A (VA) is less than the potential at point C (VC).

Charged Conducting Spheres

  • Two charged conducting spheres (r1 and r2 radii) are connected by a wire.
  • The spheres reach equilibrium with respect to each other due to the separation, which is very large compared to their radii.
  • The ratio of electric field magnitudes at the surfaces of the spheres (r1 and r2) is determined by the inverse square of their radii (ratio r2²/r1²). (Note missing data; the formula suggests a direct relationship between sphere radius and electric field strength

Magnetic Field of a Wire

  • A long, straight wire (radius 'a') carries a steady current (I).
  • The current is uniformly distributed across the wire's cross-section.
  • The ratio of magnetic field magnitudes at a point above the wire's surface to a point below its surface is 1:1.

Diffraction

  • Diffraction can be observed in both sound waves and light waves.

Displacement Current

  • A capacitor with parallel plates (area 0.001 m², separation 0.0001 m) has a voltage change rate of 10⁸ V/s.
  • The displacement current through the capacitor is 8.85 x 10⁻³ A.

LCR Circuit

  • In a series LCR circuit, the voltage across the resistance, capacitance, and inductance is 10 V each.
  • If the capacitance is shorted, the voltage across the inductance will still be 10 V.

Electromagnetic Wave Production

  • Infrared: Production due to vibration of atoms and molecules.
  • Radiowaves: Production due to rapid vibration of electrons in aerials.
  • Light(Visible): Production by electrons in atoms transitioning between energy levels.
  • Microwaves: Production using a device like a klystron valve.

Alpha Particle Scattering

  • The distance of closest approach (d) of an alpha particle with speed V to a nucleus is related to its energy.
  • If another alpha particle has higher energy, the new distance of closest approach is related to the original distance by a square root of the energy ratio.
  • The relation is given as: d2/d1^2=V1/V2.

Image Formation by Glass Sphere

  • A point object at the center of a glass sphere (radius 6 cm, refractive index 1.5) forms a virtual image.
  • The virtual image distance from the sphere's surface is 6 cm.

CD Colors

  • Colors observed on a CD are due to diffraction.

Doping and Conduction Electrons

  • The number of conduction electrons from dopant atoms is strongly affected by the doping level and ambient temperature, but not significantly by the energy gap.

Copper Wire Resistance

  • If a copper wire is stretched to decrease its radius by 0.1%, its resistance will increase approximately by 0.4%.

Assertion and Reason Questions

  • Answers provided for assertion and reason questions.

Electron Emission

  • A platinum surface with a 5.63 eV work function is illuminated with a 1.6 x 10¹⁵ Hz monochromatic source.
  • The minimum wavelength associated with the ejected electrons is calculated (value needed).

Young's Double-Slit Experiment

  • Interference fringes using two wavelengths (4000 Å and 6000 Å).
  • Least distance from central maximum where a dark fringe is obtained is calculated(value needed).
  • Intensity calculations for a point with a specific path difference.

Charged Particle Collision

  • Two identical charged particles (4 x 10⁻²⁶ kg, 4.8 x 10⁻¹⁹ C) with the same speed (2.4 x 10⁵ m/s) are equidistant from the Y-axis.
  • Direction and magnitude of the magnetic field needed for head-on collision is calculated (values needed). (missing values)

Proton in Magnetic Field

  • A proton (speed 2 x 10⁵ m/s) enters a uniform magnetic field (B = 1.5 T). The velocity vector makes a 30° angle with the magnetic field.
  • Calculations for helical path pitch and kinetic energy after completing half a circle are derived (values needed).

Nuclear Stability Curve Analysis

  • The stability of nuclei with mass numbers around 60 is discussed (values needed).
  • Nuclear fission and fusion are indicated on the plot. Missing numerical data makes in-depth analysis impossible.

Binding Energy Per Nucleon

  • Binding energy per nucleon and mass number for four nuclei (W, X, Y, Z) are analyzed.
  • Predictions of fission and fusion tendencies for the nuclei from the curve are requested (values needed).

Drift Velocity in a Cylindrical Conductor

  • The dependence of drift velocity on relaxation time is described.
  • Average drift velocity for a conductor with time-varying current (I = I₀ sin(2πνt)) is calculated (values needed).

Circuits and Waveforms

  • Analysis of circuits with diodes and filters that produce specific outputs (values needed)

AC to DC Conversion

  • Devices for converting AC to DC are identified, and their principles and working are described.
  • Frequencies (input and output) for different rectifiers are specified.

Parallel Plate Capacitor with Dielectric/Metallic Slab

  • Capacitance calculations for a parallel plate capacitor (area A, separation d) with a dielectric or metallic slab (thickness t<d) are provided.
  • Comparison of resulting capacitance values (which is larger and why) are requested.

Cassegrain Telescope

  • A ray diagram showing image formation in a Cassegrain telescope is shown.
  • Advantages of Cassegrain telescopes over refracting telescopes are discussed (two).
  • For V.I. Candidates, image formation calculations are provided.

Energy Band Diagram (Semiconductors)

  • Energy band diagrams for p-type semiconductors at 0 K and room temperature are drawn.

Ideal Diode Circuit Conditions

  • Conditions for a bulb to glow with an ideal diode are described (switch open and closed).

p-n Junction Diode Barrier Potential

  • Barrier potential formation in a p-n junction diode is explained.

Depletion Region Width

  • How the width of the depletion region in a p-n junction changes with forward and reverse bias is discussed.

Charged Ball in a Magnetic Field

  • Motion of a charged, spherical ball in presence of magnetic field conditions is investigated.
  • Required velocity for ball to not move along pipe axis and direction of magnetic field are determined (values needed).

Right-Angled Prism

  • Refractive index of a right-angled prism, and scenarios when the prism is surrounded by a liquid (refractive index given)
  • Ray diagrams to represent light path in this scenario are requested.

Equilateral Prism

  • Analysis is required for the case of a light ray incident at a given angle, showing symmetric path through an equilateral prism. (missing values)

Gauss's Theorem and Electric Field

  • Gauss's Theorem statement and derivation of electric field expression for an infinitely long straight wire are provided.
  • Alternative problem: Electric flux definition and electric field calculation for a uniformly charged plane sheet are requested.

Further Problem Statements

  • Various problems requiring analysis from sections in previous text (values needed).

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