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Questions and Answers

In a photoelectric effect experiment, applying a stopping potential results in zero photocurrent. What does this indicate?

  • Photoelectrons are dispersed from the sides of the apparatus.
  • Photoelectrons accumulate near the collector plate.
  • The emission of photoelectrons has ceased. (correct)
  • Photoelectrons are emitted but reabsorbed by the emitter.

A proton and an alpha particle have the same kinetic energy. What is the ratio of their de Broglie wavelengths?

  • 4:1
  • 1:2
  • 1:4
  • 2:1 (correct)

When milk is churned, cream separates out. Which force is primarily responsible for this separation?

  • Centripetal force
  • Centrifugal force (correct)
  • Gravitational force
  • Frictional force

Suppose an electron is attracted towards the origin by a force $F = \frac{k}{r}$, where 'k' is a constant and 'r' is the distance from the origin. According to the Bohr model, how does the kinetic energy 'T' of the electron relate to 'n' (the principal quantum number) and 'r' (the radius of the nth orbital)?

<p>T is independent of n, and $r \propto n$ (A)</p> Signup and view all the answers

Which phenomenon is NOT common to both sound and light waves?

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

Two deuterons undergo nuclear fusion to form a Helium nucleus. Given that the binding energy per nucleon for a deuteron is 1.1 MeV and for helium is 7.0 MeV, how much energy is released in this process?

<p>23.6 MeV (B)</p> Signup and view all the answers

In a DC voltage regulator circuit, a resistor $R$ is used to regulate the voltage. If the input voltage is $V_i$, the regulated output voltage is $V_o$, and the current through the Zener diode is $I_z = nI_L$ (where $I_L$ is the load current), what is the value of the resistor $R$?

<p>$(V_i - V_o) / (nI_L)$ (C)</p> Signup and view all the answers

Which logic gate is equivalent to the combination of gates shown?

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

A fluid flows through a horizontal pipe with varying cross-section. At one point, the pressure is P pascal and the speed is v m/s. At another point, the pressure is P/2 pascal. If the fluid's density is ρ kg/m³ and the flow is streamline, what is the speed V at the second point?

<p>$\sqrt{\frac{P}{\rho} + v^2}$ (C)</p> Signup and view all the answers

What property does the velocity of sound in any gas depend upon?

<p>Density and elasticity of the gas (D)</p> Signup and view all the answers

When a ferromagnetic material is heated above its Curie temperature, what happens to its magnetic properties?

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

The current through a coil changes from 5A to 15A in 0.1 seconds, inducing an average EMF of 6V. What is the self-inductance of the coil?

<p>0.06 H (D)</p> Signup and view all the answers

An inductor L and a resistor R are connected in series with a battery of EMF ε. What is the maximum energy stored in the magnetic field?

<p>$LE^2 / (2R^2)$ (B)</p> Signup and view all the answers

For a series RLC circuit, the resistance R is equal to the inductive reactance $X_L$, and $X_L = 2X_C$. What is the impedance of the circuit and the phase difference between voltage V and current i?

<p>$\sqrt{5}R$, $tan^{-1}(\frac{1}{2})$ (B)</p> Signup and view all the answers

An inductor (0.5 mH), a capacitor (200 μF), and a resistor (2 Ω) are connected in series with a 220 V AC source. If the current is in phase with the EMF, what is the frequency of the AC source?

<p>$5 \times 10^2$ Hz (C)</p> Signup and view all the answers

A transformer has 200 turns in its primary coil and 10 turns in its secondary coil. If a 240V AC voltage is applied to the primary coil, what will be the output voltage from the secondary coil?

<p>12 V (B)</p> Signup and view all the answers

In an LR circuit, the inductive reactance equals the resistance R of the circuit. An EMF $E = E_0 cos \omega t$ is applied to the circuit. What is the power consumed in the circuit?

<p>$E_0^2 / (4R)$ (D)</p> Signup and view all the answers

In the circuit shown, what is the current in the 10Ω resistor?

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

To determine the resistance G of a galvanometer using the half deflection method, a battery of EMF V and resistance R are used. If a shunt resistance S is needed to achieve half deflection, what is the relationship between G, R, and S?

<p>$2G = S$ (A)</p> Signup and view all the answers

A proton and an alpha particle, both moving with the same velocity, enter a uniform magnetic field acting normal to their plane of motion. What is the ratio of the radii of the circular paths they describe?

<p>1:2 (B)</p> Signup and view all the answers

A charge q is spread uniformly over an insulated loop of radius r. If it is rotated about its normal axis with an angular velocity $ \omega$, what is the magnetic moment of the loop?

<p>$\frac{1}{2}q \omega r^2$ (B)</p> Signup and view all the answers

A wire X of length 50 cm carries a current of 2A and is placed parallel to a long wire Y of length 5m carrying a current of 3A. The wires are separated by 5 cm, and the currents flow in the same direction. What is the force acting on wire Y?

<p>$1.2 \times 10^{-4}$ N directed toward wire X (D)</p> Signup and view all the answers

In Young's double-slit experiment, monochromatic light of wavelength 5000 Å produces fringes with a width of 0.5 mm. If the wavelength is changed to 6000 Å and the separation between the slits is doubled, what is the new fringe width?

<p>0.6 mm (C)</p> Signup and view all the answers

Considering a group of positive charges, which statement about the electric potential and electric field is correct?

<p>Net potential can't be zero at a point, but net electric field can. (D)</p> Signup and view all the answers

Three charges $Q$, $+q$, and $+q$ are positioned at the vertices of a right-angled isosceles triangle. If the net electrostatic energy of this configuration is zero, what is the value of $Q$?

<p>$-\frac{q}{1+\sqrt{2}}$ (C)</p> Signup and view all the answers

In the given circuit, after the switch 'S' is turned from position 'A' to position 'B', what is the energy dissipated in the circuit in terms of capacitance 'C' and total charge 'Q'?

<p>$\frac{1}{8} \frac{Q^2}{C}$ (D)</p> Signup and view all the answers

The rate of emission of a black body at 546°C is E. What is the rate of emission of radiation of the same body at 0°C?

<p>E/81 (A)</p> Signup and view all the answers

A Carnot engine operates between 400 K and 800 K, producing 1200 J of work per cycle. What amount of heat energy is supplied to the engine from the source in each cycle?

<p>2400 J (A)</p> Signup and view all the answers

During an experiment, an ideal gas obeys the relationship $P^2V = constant$. The gas is initially at temperature T and volume V. If the gas expands to volume 2V, what will its new temperature be?

<p>$\sqrt{2}T$ (C)</p> Signup and view all the answers

A particle undergoing simple harmonic motion has a time-dependent displacement given by $x(t) = A\sin(\frac{\pi t}{90})$. What is the ratio of its kinetic to potential energy at t = 210 s?

<p>1/3 (B)</p> Signup and view all the answers

The amplitude of a harmonic oscillator is 'a'. At what position will the velocity of the particle be half of its maximum velocity?

<p>$\frac{3}{4}a$ (B)</p> Signup and view all the answers

The end correction for a resonance column is 1 cm. If the shortest resonating length with a tuning fork is 10 cm, what should the length of the next resonating length be?

<p>32 cm (C)</p> Signup and view all the answers

Two waves are described by the equations $y_1 = 5 \sin 2\pi (x - vt)$ cm and $y_2 = 3 \sin 2\pi (x - vt + 1.5)$ cm. If these waves pass simultaneously through a string, what is the amplitude of the resulting wave?

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

Sunlight is diffracted through a circular aperture with a diameter of 0.1 μm. If the diameter of the aperture is slightly increased, what will happen to the size and intensity of the circular fringe?

<p>Size of circular fringe will decrease, intensity increase. (D)</p> Signup and view all the answers

What is the radius of gyration of a uniform rod of length l, about an axis passing through a point l/4 away from the center of the rod, and perpendicular to it?

<p>$\frac{l}{\sqrt{48}}$ (C)</p> Signup and view all the answers

Flashcards

Stopping Potential & Photocurrent

When stopping potential is applied, photoelectrons lack the energy to reach the collector, halting current.

Centrifugal Force

Centrifugal force is pseudo force outwards when an object moves in a curve path.

Polarization

Polarization differs light and sound waves because sound waves can't be polarized.

Nuclear Fusion Energy Release

Energy released when light nuclei (deuterons) fuse into a heavier nucleus (Helium).

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Resistor Value

The resistance needed to get desired voltage output.

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Velocity of Sound

The speed of sound depends mainly on a gas's elasticity and density.

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Curie Temperature

Ferromagnetic material becomes paramagnetic above the Curie temperature.

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Galvanometer Deflection

The potential to deflect the galvanometer.

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Opaque Body

A body is opaque when it has no transmission and combined absorptance with reflectance

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Study Notes

  • When stopping potential is applied in a photoelectric effect experiment and no photocurrent is observed, this means the emission of photoelectrons is stopped
  • The ratio of De Broglie wavelengths of a proton and an alpha particle with the same kinetic energy is 2:1
  • When milk is churned, cream separates due to centrifugal force

Bohr Model and Force Toward Origin

  • If an electron is attracted towards the origin by a force F = k/r, where k is a constant and r is the distance from the origin, applying the Bohr model, the following relation is true: T ∝ 1/n, r ∝ n², where T is kinetic energy and r is radius
  • Polarization is not a phenomenon common to both sound and light waves
  • When two deuterons undergo nuclear fusion to form a Helium nucleus, the energy released is 25.8 MeV, given the binding energy per nucleon for deuteron = 1.1 MeV and for helium = 7.0 MeV
  • To find the value of the resistor R needed in the DC voltage regulator circuit, use the formula: R = (Vᵢ - V₀) / (nIₗ)
  • The logic gate equivalent to the given logic circuit is NOR

Fluid Dynamics

  • For a fluid flowing through a horizontal pipe of varying cross-section, with speed v at pressure P, and speed V at pressure P/2, the density being ρ, then V = √(P/ρ + v²)
  • The velocity of sound in any gas depends upon the density and elasticity of the gas

Ferromagnetic Materials

  • When a ferromagnetic material is heated above its Curie temperature, it becomes paramagnetic
  • The average EMF induced in a coil when the current changes from 5A to 15A in 0.1s with a voltage of 6V, the self-inductance is 0.06 H
  • For an inductance L and resistance R in series with a battery of EMF ε, the maximum energy stored in the magnetic field is Lε²/2R²

Series RLC Circuit

  • For a series RLC circuit where R = Xₗ = 2X꜀, the impedance is √5R and the phase difference is tan⁻¹(2)
  • Given an inductor of 0.5 mH, a capacitor of 200 µF, and a resistor of 20 Ω in series with a 220 V AC source and current in phase with the EMF, the frequency of the AC source is 5 x 10² Hz
  • The turns ratio of primary to secondary coil in a transformer is 200:10, with 240V AC applied to primary, the output from the secondary is 12V
  • In an LR circuit where inductive reactance equals resistance R, with an applied EMF E = E₀cosωt, the power consumed is E₀²/4R
  • In a circuit, the current in the 10Ω resistor shown in the diagram is 0.13A from P to Q.

Galvanometers

  • When determining the resistance G of a galvanometer by half deflection method, a battery of EMF V and resistance R are used; if a shunt resistance S is needed, then 2G = S
  • A proton and an alpha particle moving with the same velocity enter a uniform magnetic field normally; the ratio of the radii of their circular paths is 1:2
  • A charge q spread uniformly over a loop of radius r rotating with angular velocity ω has a magnetic moment of ½ qωr²
  • For a wire X of length 50 cm carrying a current of 2A parallel to a long wire Y of length 5m carrying 3A, both currents in the same direction and separated by 5cm, the force on wire Y is 2.4 x 10⁻⁵ N directed toward wire X.

Young's Double Slit Experiment

  • Using Young's double-slit experiment with light of wavelength 5000Å producing fringes of width 0.5 mm, and then using 6000Å with double the slit separation, the new fringe width is 0.6 mm
  • With a group of positive charges, the net potential of the system can be zero at a point, but the net electric field cannot be zero at that point.

Electrostatic Energy

  • Three charges Q, +q, and +q at the vertices of a right-angle isosceles triangle have zero net electrostatic energy if Q is -√2q / (√2 + 1)
  • After switching 'S' from position 'A' to 'B', in the circuit in terms of capacitance C and total charge Q, the energy dissipated is 3Q²/8C
  • The rate of emission of a black body at 546°C is E; the rate of emission at 0°C will be E/81
  • A Carnot engine working between 400 K and 800 K with an output of 1200 J has a heat energy input of 2400 J per cycle
  • During an experiment where an ideal gas obeys P²V = constant, if the gas expands from volume V at temperature T to volume 2V, the final temperature will be √2T
  • In simple harmonic motion, given x(t) = A sin(πt/90), the ratio of kinetic to potential energy at t = 210s is 1
  • In a harmonic oscillator with amplitude a, when velocity is half the maximum, the position is (√3 / 2) a

Resonance Column

  • The end correction of a resonance column is 1 cm; if the shortest resonating length is 10 cm, the next resonating length should be 32 cm
  • Given two waves y₁ = 5 sin 2π(x - vt) cm and y₂ = 3 sin 2π(x - vt + 1.5) cm passing through a string simultaneously, the amplitude of the resulting wave is 4 cm
  • If sunlight is diffracted through a circular aperture of diameter 0.1μm, slightly increasing the diameter will cause the size of the circular fringe to decrease and the intensity to increase
  • The radius of gyration of a uniform rod of length l about a point l/4 from the center is l / √48
  • For a mass m tied to a string wound on a disc of radius r and mass m, when the mass falls a distance h, the angular speed of the wheel is (1/r)√(4gh/3)
  • If 'M' is the mass of water rising in a capillary tube of radius 'r', then the mass in a tube of radius '2r' is 2M
  • An air bubble of diameter 6 mm rising steadily through a solution of density 1750 kg/m³ at 0.35 cm/s has a coefficient of viscosity of the solution of 50 Pa s

Molecular Velocities

  • The temperature at which the RMS velocity of hydrogen equals that of oxygen at 47°C is 20K
  • For a body opaque to radiation, the absorptivity plus the reflection coefficient equals 1 with the transmission being 0, which is t = 0 and a + r = 1
  • When a tuning fork is sounded with a sonometer wire, 5 beats/second are heard; the length of the wire is either 0.95 m or 1 m; the frequency of the fork is 195 Hz
  • For a thin convex lens of focal length f put on a plane mirror, given an object at distance a with the image at a/3, the value of 'a' becomes 3f/2
  • For monochromatic light incident with minimum deviation, the prism is an equilateral triangular of refractive index √3, the angle of incidence is 60 degrees

Two Point Charges

  • Two point charges q₁ and q₂ separated by a distance l, with q₂ doubled and the distance made one-fourth, become 'n' times where n = 32
  • In a diode circuit with given forward (50Ω) and reverse resistances(infinite), the current through a 120Ω resistance is 20 mA
  • Projectile is launched at 10m/s making a 60° to the horizontal, after sometime the angle is 30°, it's speed at this instant is 10/√3
  • Two blocks are connected with a string and two forces acting on them; the tension force in the string connecting the block is 11 N

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