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A

Group 'A'

Rewrite the correct option of each question in your answer sheet.

11 questions·1 marks each
1mcq1 marks

The moment of Linear momentum is called

  • a

    Torque

  • b

    Force

  • c

    Couple

  • d

    Angular momentum

rotational-motionangular-momentum
2mcq1 marks

A liquid does not wet the surface of a solid if the angle of contact is

  • a

    Zero

  • b

    Less than 90^\\circ

  • c

    Greater than 90^\\circ

  • d

    Less than zero

surface-tensionangle-of-contact
3mcq1 marks

In a thermodynamic process, if the volume remains constant, then the process is known as

  • a

    Isothermal

  • b

    Isobaric

  • c

    Adiabatic

  • d

    Isochoric

thermodynamicsthermodynamic-processes
4mcq1 marks

A system suffers an increase in internal energy of 80 Joules and at the same time 50 Joules of work is done on the system. What is the value of heat supplied?

  • a

    +130J

  • b

    +30J

  • c

    -130J

  • d

    -30J

thermodynamicsfirst-law
5mcq1 marks

The reciprocal of wavelength is called

  • a

    Velocity

  • b

    Wave frequency

  • c

    Amplitude

  • d

    Wave number

waveswave-number
6mcq1 marks

The distance between any two consecutive nodes in terms of wavelength (lambda\\lambda) in a stationary wave is

  • a

    dfraclambda2\\dfrac{\\lambda}{2}

  • b

    dfraclambda4\\dfrac{\\lambda}{4}

  • c

    lambda\\lambda

  • d

    2lambda2\\lambda

stationary-wavesnodes
7mcq1 marks

For a diamagnetic material, which of the following statement is correct for the magnetic susceptibility (chi\\chi)?

  • a

    chi>0\\chi > 0

  • b

    chi<0\\chi < 0

  • c

    chi=0\\chi = 0

  • d

    chi=1\\chi = 1

magnetismdiamagnetismmagnetic-susceptibility
8mcq1 marks

Kirchhoff's voltage law is based on the principle of conservation of

  • a

    Charge

  • b

    Linear momentum

  • c

    Energy

  • d

    Mass

kirchhoffs-lawsconservation-laws
9mcq1 marks

Which of the following graphs represents correctly the variation of photoelectric current (Ip) with the intensity (I) of the radiation.

(A) Graph A: photoelectric current Ip constant (horizontal line) versus intensity I

(B) Graph B: Ip increasing linearly with I but with a non-zero intercept

(C) Graph C: Ip increasing linearly with I, straight line through the origin

(D) Graph D: Ip rising and saturating (curve that levels off) with I

  • a
  • b
  • c
  • d
photoelectric-effectgraphs
10mcq1 marks

If K.E. of a particle is increased by four times then the de-Broglie wavelength becomes

  • a

    2 times

  • b

    dfrac12\\dfrac{1}{2} times

  • c

    dfrac1sqrt2\\dfrac{1}{\\sqrt{2}} times

  • d

    sqrt2\\sqrt{2} times

de-broglie-wavelengthmatter-waves
11mcq1 marks

During the reverse biasing of a P-N Junction diode, thickness of depletion Layer

  • a

    Decreases

  • b

    Increases

  • c

    First increases than decreases

  • d

    Remains constant

semiconductorspn-junctiondepletion-layer
B

Group 'B'

18 questions·5 marks each
12ashort2 marks

Define moment of inertia. Write any two factors on which it depend.

moment-of-inertiarotational-motion
12bshort2 marks

Obtain an expression for the moment of inertia of a thin uniform rod about an axis passing through its centre and perpendicular to its length.

moment-of-inertiathin-rod
12cshort1 marks

State the principle of conservation of angular momentum.

angular-momentumconservation-laws
13ashort1 marks

Define surface tension.

surface-tension
13bshort2 marks

Show that surface tension of liquid is numerically equal to the surface energy.

surface-tensionsurface-energy
13cshort2 marks

Define capillarity with two suitable examples.

capillaritysurface-tension
14ashort3 marks

What correction was made by Laplace on Newton's formula? Obtain the corrected formula.

soundvelocity-of-soundlaplace-correction
14bnumeric2 marks

At what temperature the speed of sound is increased by 50% to that at 27^\\circ\\text{C}?

Numeric answer (°C)

soundvelocity-of-soundtemperature-dependence
15ashort1 marks

Define harmonics.

soundharmonics
15bshort3 marks

Describe the various modes of vibration of air column in an open organ pipe.

soundorgan-pipemodes-of-vibration
15cshort1 marks

What is end correction of an organ pipe?

soundorgan-pipeend-correction
16ashort1 marks

What is meant by diffraction of light?

wave-opticsdiffraction
16bshort1 marks

Write the necessary condition for diffraction of light.

wave-opticsdiffraction
16cshort3 marks

Interference occurs due to the superposition of two waves produced by the coherent sources.

i) Define coherent sources. [1]

ii) Write the required condition for constructive and destructive interference. [2]

wave-opticsinterferencecoherent-sources
17short5 marks

a) State the principle of potentiometer. [1]

b) Why do we prefer potentiometer to measure emf of a cell rather than a voltmeter? Justify. [2]

c) State two Kirchhoff's laws of electrical circuit. [2]

Or

a) State and explain Biot-Savart's law. [2]

b) Obtain an expression for magnetic field intensity at the centre of a current carrying circular coil using Biot-Savart's law. [3]

potentiometerkirchhoffs-lawsbiot-savart-law
18ashort3 marks

How can a galvanometer be converted into an ammeter? Explain.

galvanometerammetershunt
18bshort2 marks

Why is an ammeter connected in series in a circuit? Justify.

ammetercircuits
19short5 marks

a) State and explain Einstein photo electric equation. Also, define threshold frequency. [3]

b) If 5ev photon strikes on a surface of a metal of work function 1.8ev, calculate the maximum speed of the emitted electron. [2] (h=6.62times1034,textJsh = 6.62\\times10^{-34}\\,\\text{Js}), [Mass of an electron (mm) = 9.1times1031,textkg9.1\\times10^{-31}\\,\\text{kg}], [Charge on an electron (ee) = 1.6times1019,textC1.6\\times10^{-19}\\,\\text{C}]

Or

a) Define rectifier. [1]

b) Explain with a neat diagram of full wave rectifier using two semi-conductor diodes. [3]

c) Plot input and output waveforms of full wave rectifier. [1]

photoelectric-effecteinstein-equationrectifier
C

Group 'C'

9 questions·8 marks each
20ashort1 marks

Define simple harmonic motion.

shmoscillations
20bshort2 marks

A simple harmonic motion is given as Y=asin(wtkx)Y = a\\sin(wt - kx), where symbols have their usual meanings. Find its acceleration.

shmwave-motionacceleration
20cshort3 marks

Show that the oscillation of mass suspended from a helical spring is simple harmonic motion.

shmhelical-spring
20dnumeric2 marks

A body of mass 200gm is executing SHM with amplitude of 20mm. The maximum force which acts upon it is 0.8N. Calculate the maximum velocity of the body.

Numeric answer (m/s)

shmmaximum-velocity
21ashort1 marks

Define r.m.s value of an ac.

alternating-currentrms-value
21bshort1 marks

How rms value of an ac is related to the peak value?

alternating-currentrms-valuepeak-value
21cshort3 marks

Show that current through a pure inductor Lags behind voltage by a phase angle dfracpi2\\dfrac{\\pi}{2}. Also draw its phasor diagram.

alternating-currentinductorphasor
21dnumeric3 marks

A series LCR circuit is shown in figure below.

Series LCR circuit with inductor L = 30 mH, capacitor C = 10 µF and resistor R = 25 Ω in series with an AC source E = 250 V, f = 50 Hz

L=30,textmHL = 30\\,\\text{mH}, C=10,mutextFC = 10\\,\\mu\\text{F}, R=25,OmegaR = 25\\,\\Omega, E=250,textVE = 250\\,\\text{V}, f=50,textHzf = 50\\,\\text{Hz}.

Calculate the impedance and current in the circuit.

Numeric answer (A)

alternating-currentlcr-circuitimpedance
22long8 marks

a) Define cross field. [1]

b) Show that the motion of an electron in a magnetic field is circular. Also, determine its time period. [3]

c) An electron and proton are projected with the same speed in a uniform magnetic field normally. Compare the radius of their circular paths. [2]

d) Calculate the radius of a water drop which would just remains suspended in a electric field of 3times104,textV/m3\\times10^4\\,\\text{V/m} and charged with one electron. [2]

Or

a) Define ionization potential. [1]

b) Which spectral series of hydrogen atom lie within visible region? Calculate the longest wave length of that series. (R=1.097times107,textm1R = 1.097\\times10^{-7}\\,\\text{m}^{-1}) [3]

c) How do you control quality of X-rays? Explain. [2]

d) Calculate the de-Broglie wave length of X-rays having K.E of 200ev. (Mass of electron = 9.1times1031,textkg9.1\\times10^{-31}\\,\\text{kg}) [2]

magnetic-forcecircular-motionatomic-spectra