Q1
mcq
1 mark
Two identical conducting balls having positive charges $q_1$ and $q_2$ are separated by a centre to centre distance $r$. If they are made to touch each other and then separated to the same distance, the force between them will be:
- A. zero
- B. less than before
- C. more than before
- D. same as before
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Q2
mcq
1 mark
Two wires of A and B with circular cross section are made up of the same material with equal lengths. Suppose $R_A = 3R_B$, then what is the ratio of radius of wire A to that of B ?
- A. $\frac{1}{3}$
- B. 3
- C. $\frac{1}{\sqrt{3}}$
- D. $\sqrt{3}$
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Q3
mcq
1 mark
A non conducting charged ring carrying a charge of $q$, mass $m$ and radius $r$ is rotated about its axis with constant angular speed $\omega$. The ratio of its magnetic moment with angular momentum is:
- A. $\frac{2q}{m}$
- B. $\frac{q}{2m}$
- C. $\frac{q}{4m}$
- D. $\frac{q}{m}$
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Q4
mcq
1 mark
When the current changes from 12 A to $-2$ A in 0.05 s, an emf of 8 V is induced in a coil. The coefficient of self induction of the coil is:
- A. 0.4 H
- B. 0.2 H
- C. 0.8 H
- D. 0.1 H
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Q5
mcq
1 mark
Which one of them is used to produce a propagating electromagnetic wave ?
- A. a charge moving with constant velocity
- B. an accelerating charge
- C. a stationary charge particle
- D. an uncharged particle
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Q6
mcq
1 mark
The speed of light in an isotropic medium depends on:
- A. the nature of propagation
- B. its intensity
- C. the motion of the source with respect to medium
- D. its wavelength
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Q7
mcq
1 mark
In a Young’s double-slit experiment, the slit separation is doubled. To maintain the same fringe spacing on the screen, the screen-to-slit distance $D$ must be changed to:
- A. 2D
- B. $\frac{D}{2}$
- C. $\frac{D}{2}$
- D. 2D
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Q8
mcq
1 mark
Emission of electrons by the absorption of heat energy is called _________ emission.
- A. field
- B. thermionic
- C. photoelectric
- D. secondary
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Q9
mcq
1 mark
The mass of a $^{7}_{3}\mathrm{Li}$ nucleus is 0.042 u less than the sum of the masses of all its nucleons. The average binding energy per nucleon of $^{7}_{3}\mathrm{Li}$ nucleus is nearly:
- A. 23 MeV
- B. 46 MeV
- C. 5.6 MeV
- D. 3.9 MeV
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Q10
mcq
1 mark
The principle based on which a solar cell operates is:
- A. Photovoltaic action
- B. Diffusion
- C. Carrier flow
- D. Recombination
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Q11
mcq
1 mark
The particle which gives mass to protons and neutrons are:
- A. Nano particle
- B. Higgs particle
- C. Bulk particle
- D. Einstein particle
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Q13
mcq
Which of the following statement is/are true for equipotential surface?
- A. The potential is different for different equipotential surfaces.
- B. Electric field must always be normal to equipotential surface.
- C. Work done to move a charge between any two points is zero.
- D. All of the above
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Q14
mcq
Inside the calcite crystal, along the optic axis, the ratio of velocities of extraordinary ray to ordinary ray is:
- A. 2 : 1
- B. 1 : 1.5
- C. 1 : 2
- D. 1 : 1
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Q15
mcq
The range of the antenna is 64 km, then its height is (Radius of the earth is 6400 km):
- A. 32 m
- B. 0.32 km
- C. 640 m
- D. 32 km
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Q20
short answer
If the focal length is 150 cm for a lens, what is the power of a lens?
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Q23
short answer
Draw the schematic circuit diagram for a NPN transistor in common emitter configuration.
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Q24
short answer
Light of wavelength of 5000 $\unicode{x212B}$ produces diffraction pattern of the single slit of width 5 $\mu$m. What is the maximum order of diffraction possible?
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Q25
short answer
3 marks
Write the applications of capacitors.
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Q26
short answer
Two resistors when connected in series and parallel, their equivalent resistances are 15 $\Omega$ and $\frac{56}{15}\,\Omega$ respectively. Find the values of the resistances.
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Q27
short answer
Define the current sensitivity of a galvanometer and how can it be increased?
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Q28
short answer
Obtain an expression for average power of AC over a cycle.
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Q29
short answer
What is Critical angle? Obtain the equation for Critical angle.
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Q30
short answer
Mention the differences between Interference and Diffraction.
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Q31
short answer
Show that nuclear density is almost constant for nuclei with Z > 10.
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Q32
short answer
Give the circuit symbol, logical operation, truth table and Boolean expression of AND gate.
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Q33
short answer
When a light of frequency $9\times10^{14}$ Hz is incident on a metal surface, photoelectrons are emitted with a maximum speed of $8.14\times10^{5}$ ms$^{-1}$. Determine the threshold frequency of the surface.
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Q34
long answer
5 marks
(a) Derive an expression for electrostatic potential due to an electric dipole.
OR
(b) What is Fibre Optic Communication ? Write its merits and demerits.
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Q35
long answer
5 marks
(a) Explain the determination of unknown resistance using meter bridge.
OR
(b) List out the laws of photoelectric effect.
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Q36
long answer
5 marks
(a) Write down Maxwell equations in integral form.
OR
(b) Derive the equation for angle of deviation produced by a prism.
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Q37
long answer
5 marks
(a) Explain the working of cyclotron in detail.
OR
(b) (i) What are Polariser and Analyser ?
(ii) List the uses of Polaroids.
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Q38
long answer
5 marks
(a) (i) What is binding energy of a nucleus ? Write its expression.
(ii) Compute the binding energy of $^4_2$He nucleus using the following data : Atomic mass of Helium atom, $M_A$(He) = 4.00260 u, Mass of hydrogen atom, $m_H$ = 1.00785 u, and Mass of neutron, $m_n$ = 1.008665 u.
OR
(b) (i) Write about impedance of the series RLC circuit.
(ii) Find the impedance of a series RLC circuit if the inductive reactance, capacitive reactance and resistance are 184 $\Omega$, 144 $\Omega$ and 30 $\Omega$ respectively. Also calculate the phase angle between voltage and current.
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