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Question 1
Positive Marks: 4 / Negative Marks: 1
  • 1)

    The mean free path of molecules of a gas, (radius ‘r’) is inversely proportional to:-

    1. r3

    2. r2

    3. R

  • 2)

    If n1, n2, and n3 are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency n of the string is given by –

  • 3)

    The number of possible natural oscillations of air column in a pipe closed at one end of length 85 cm whose frequencies lie below 1250 Hz are: (Velocity of sound = 340 ms-1)

    1. 4

    2. 5

    3. 7

    4. 6

  • 4)

    A speeding motorcyclist sees traffic jam ahead of him. He slows down to 36 km/hour. He finds that traffic has eased and a car moving ahead of him at 18 km/hour is honking at a frequency of 1392 Hz. If the speeds of sound is 343 m/s, the frequency of the honk as heard by him will be

    1. 1332 Hz

    2. 1372 Hz

    3. 1412 Hz

    4. 1454 Hz

  • 5)

    Two thin dielectric slabs of dielectric constants K2 and K2 (K1 < K2) are interested between plates of a parallel plate capacitor, as shown in the figure. The variation of electric field ‘E’ between the plates with distance ‘d’ as measured from plate P is correctly shown by:

  • 6)

    A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the center of the sphere respectively are –

    4. Both and zero

  • 7)

    In a region, the potential is represented by V(x, y, z) = 6x - 8xy – 8y + 6yz, where V is in volts and x, y, z are in meters. The electric force experienced by a charge of  2 coulomb situated at point (1, 1, 1) is –

    2. 30 N

    3. 24 N

  • 8)

    Two cities are 150 km apart. Electric power is sent from one city to another city through copper wires. The fall of potential per km is 8 volt and the average resistance per km is 0.5 Ω. The power loss in the wires is-

    1. 19.2 W

    2. 19.2 kW

    3. 19.2 J

    4. 12.2 kW

  • 9)

    The resistance in the two arms of the meter bridge are 5Ω and RΩ, respectively. When the resistance R is shunted with an equal resistance, the new balance point is at 1.6 ℓ1. The resistance ‘R’ is-

    1. 100Ω

    2. 15Ω

    3. 20Ω

    4. 25Ω

  • 10)

    A bar magnet of length ‘ℓ’ and magnetic dipole moment ‘M’ is bent in the form of an arc as shown in figure. The new magnetic dipole moment will be-

    2. M

  • 11)

    The internal resistance of a 2.1 V cell which gives a current of 0.2 V cell which gives a current of 0.2 A through a resistance of 10Ω is-

    1. 1.0 Ω

    2. 0.2 Ω

    3. 0.5 Ω

    4. 0.8 Ω

  • 12)

    For photoelectric emission from certain metal the cutoff frequency is v. If radiation of frequency 2v impinges on the metal plate, the maximum possible velocity of the emitted electron will be (m is the electron mass)-

  • 13)

    During an adiabatic process, the pressure of a gas found to be proportional to the cube of its temperature. The ratio of  for the gas is –

    1. 3/2

    2. 4/3

    3. 2

    4. 5/3

  • 14)

    The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?

    1. length = 300 cm, diameter = 3 mm

    2. length = 50 cm, diameter = 0.5 mm

    3. length = 100cm, diameter = 1 mm

    4. length = 200 cm, diameter = 2 mm

  • 15)

    The resistances of the four arms P,Q,R and S in a Wheatstone’s bridge are 10 ohm, 30 ohm, 30 ohm and 90 ohm, respectively. The e. m. f. and internal resistance of the cell are 7 volt and 5 ohm respectively. If the galvanometer resistance is 50 ohm, the current drawn from the cell will be-

    1. 2.0 A

    2. 1.0 A

    3. 0.2 A

    4. 0.1 A

  • 16)

    The amount of heat energy required to raise the temperature of 1 g of Helium at NTP, from T1 K to T2 K is-

  • 17)

    A piece of iron is heated in a flame. It first become dull red then becomes reddish yellow and finally turns to white hot. The correct explanation for the above observation is possible by using:-

    1. Newton’s law of cooling

    2. Stefan’s law

    3. Wien’s law

    4. Kirchhoff’s law

  • 18)

    A gas taken through the cycle A → B → C → A, as shown, what is the net work done by the gas?

    1. -2000 J

    2. 2000 J

    3. 1000 J

    4. zero

  • 19)

    Liquid oxygen at 50 K is heated to 300 K at constant pressure of 1 atm. The rate of heating is constant. Which one of the following graphs represents the variation of temperature with time?

  • 20)

    If the radius of a star is r and it acts as a black body, what would be the temperature of the star, in which the rate of energy production is Q?

    (σ stands for Stefan’s constant.)

    1. (4πR2Q / σ)1/4

    2. (Q / 4πR2σ)1/4

    3. Q / 4πR2σ

    4. (Q / 4πR2σ)-1/2

  • 21)

    A coil of resistance 400Ω is placed in a magnetic field. If the magnetic flux ϕ (Wb) linked with the coil varies with time t (sec) as

    Ф = 50t2 + 4

    The current in the coil at t = 2 s is:

    1. 2A

    2. 1A

    3. 0.5A

    4. 0.1A

  • 22)

    The current (I) in the inductance is varying with time according to the plot shown in figure.

    Which one of the following is the correct variation of voltage with time in the coil?

  • 23)

    In a electrical circuit R, L, C and a.c voltage source are all connected in series. When L is removed from the circuit, the phase difference between the voltage and the current in the circuit is π/3. If instead, C is removed from the circuit the phase difference is again π/3. The power factor of the circuit is:

    1. 1

  • 24)

    A ring is made of a wire having a resistance Ro = 12Ω. Find the points A and B as shown in the figure at which a current carrying conductor should be connected so that the resistance R of the sub circuit between these point is equal to 8/3 Ω.

  • 25)

    If voltage across a bulb rated 220 Volt 100 what drops by 2.8 % of its rated value, the percentage of the rated value by which the power would decrease is

    1. 5%

    2. 10%

    3. 20%

    4. 2.5%

  • 26)

    In the circuit shown the cells A and B have negligible resistances. For VA = 12V, R1 = 500 Ω and R = 100 Ω the galvanometer (G) shows to deflection. The value of VB is

    1. 12V

    2. 6V

    3. 4V

    4. 2V

  • 27)

    The electric field associated with an EM wave in vacuum is given by  cos (kz – 6 × 108t), where E < z and t are in volt/m, meter and seconds respectively. The value of wave vector k is:

    1. 6m-1

    2. 3 m-1

    3. 2 m-1

    4. 0.5 m-1

  • 28)

    The ratio of amplitude magnetic field to the amplitude  of electric field for an electromagnetic wave propagating in vacuum is equal to –

    1. The ratio of magnetic permeability to the electric susceptibility of vacuum

    2. Unity

    3. The speed of light in vacuum

    4. Reciprocal of speed of light in vacuum

  • 29)

    A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude P0. The instantaneous velocity of this car is proportional to –

    1. t-1/2

    3. t2P0

    4. t1/2

  • 30)

    The moment of inertia of a uniform circular disc is maximum about an axis perpendicular to the disc and passing through –

    1. D

    2. A

    3. B

    4. C

  • 31)

    Three masses are placed on the x-axis: 300 mg at origin, 500 mg at x = 40 cm and 400 mg at x = 70 cm. The distance of the center of mass from the origin is –

    1. 50 cm

    2. 30 cm

    3. 40 cm

    4. 45 cm

  • 32)

    A car of mass m is moving on a level circular track of radius R. If µs represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by –

  • 33)

    An ideal gas goes from state A to state B via three different processes as indicated in the P-V diagram. If Q1,Q2,Q3 indicated the heat absorbed by the gas along the three processes and ∆U1, ∆U2, ∆U3 three processes respectively, then –

    1. Q1 = Q2 = Q3 and ∆U1 > ∆U2 > ∆U3

    2. Q1 > Q2 > Q3 and ∆U1 = ∆U2 = ∆U3

    3. Q1 > Q2 > Q3 and ∆U1 = ∆U2 = ∆U3

    4. Q1 = Q2 = Q3 and ∆U1 > ∆U2 > ∆U3

  • 34)

    A stone is dropped from a height h. It hits the ground with a certain momentum P. If the same stone is dropped from a height 100 % more than the previous height, the momentum when it hits the ground will changed by-

    1. 200 %

    2. 100 %

    3. 68 %

    4. 41 %

  • 35)

    The instantaneous values of altering current and voltage in a circuit are given as

     

    The average power in watts consumed in the circuit is -

  • 36)

    If the momentum of an electron is changed by P, then the de-Broglie wavelength associated with it changed by 0.5%. The initial momentum of electron will be-

    2. 100 P

    3. 200 P

    4. 400 P

  • 37)

    When 1 kg of ice at 0°C melts to water at 0°C, the resulting change in its entropy, taking latent heat of ice to be 80 cal/°C is-

    1. 293 cal/K

    2. 273 cal/K

    3. 8 × 104 cal/K

    4. 80 cal/K

  • 38)

    During an isothermal expansion, a confined ideal gas does –150 J of work against its surrounding. This implies that

    1. 150 J of heat has been added to the gas

    2. 150 J of heat has been removed from the gas

    3. 300 J of heat has been added to the gas

    4. No heat is transferred because the process is isothermal

  • 39)

    A particle of mass m is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time?

  • 40)

    Two waves are represented by the equations y1= Asin (ωt + kx + 0.57) m and y2 = Acos (ωt + kx) m, is difference between them is-

    1. 0.57 radian

    2. 1.0 radian

    3. 1.25 radian

    4. 1.57 radian

  • 41)

    Out of the following functions representing motion of a particle which represents SHM?

    (A) y = sin ωt – cosωt

    (B) y = sin3ωt

    (C)

    (D) y = 1 + ωt + ω2t2

    1. Only (A) and (B)

    2. Only (A)

    3. Only (D) does not represent SHM

    4. Only (A) and (C)

  • 42)

    Sound waves travel at 350 m/s through a warm air and at 3500 m/s through brass. The wavelength of a 700 Hz acoustic wave as it enters brass from warm air

    1. Decrease by a factor 20

    2. Decreases by a factor 10

    3. Increases by a factor 20

    4. Increases by a factor 10

  • 43)

    The decreasing order of infrared, microwave, ultraviolet and gamma rays is-

    1. Infrared, microwave, ultraviolet, gamma rays

    2. Microwave, infrared, ultraviolet, gamma rays

    3. Gamma rays, ultraviolet, infrared, microwaves

    4. Microwaves, gamma rays, infrared, ultraviolet

  • 44)

    The wavelenght of the first line of Lyman series for hydrogen atom is equal to that of the second line of Balmer series for a hydrogen like ion. The atomic number Z of hydrogen like ion is

    1. 2

    2. 3

    3. 4

    4. 1

  • 45)

    Which of the following is not due to total internal reflection?

    1. Brilliance of diamond

    2. Working of optical fiber

    3. Difference between apparent and real depth of pond

    4. Mirage on hot summer days

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