AIIMS Exam Question Bank

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Physics

1. To obtain a p-type germanium semiconductor, it must be doped with

(a) arsenic
(b) antimony
(c) Indium
(d) phosphorous

2. Sound waves do not.show the phenomenon of

(a) interference
(b) diffraction
(e) refraction
(d) polarisation

3. The magnifying power of a compound microscope is high If

(a) both me objective and the eyepiece has short focal lengths
(b) both the objectve and the eyepiece have long focal lengths
(c) the objective has a Short focal length and the eyepiece has a long focal length
(d)the objective has a long focal length and the eyepiece has a short focal length

1 curie is

(a) 1 dps
(b) 3 x 1010dps
(c) 106 cos
(d) 3.7 x 1010dps

To double the covering range of a TV transmitter tower, its height should be made

(a) 2 times
(b) 4 times
(c) √2 times
(d) 8 times
. An alternatmg voltage V = V0sin ωτ is applied across a circuit. As result I = I0 sin(ωτ)- π/2)flows ill it. The power consumed per cycle is

(a) zero
(b) 0.5 V0I0
(d) 0.707 V0I0
(d) 1.414 V0I0

A prism is made up 0f material of refractive index √3. The angle of prism is A. If the angle of minimum deviation is equal to the angle of the prism, then the value of A is
(a) 30o
(b) 45o
(c) 60o
(d) 75o

The half-life of a radioactive substance is 10 day. This means that

(a) the substance completely disintegrates in 20 days.
(b) the substance completely disintegrates in 40 days.
(c) 1/8 part at the mass of the substance will be left intact at the end of 40 days
(d) 7/8 part of the mass of the substance disintegrates in 30 days.

A source and an observer are moving towards each other with a speed equal to υ/2, where υ is the speed of sound. The
source is emitting sound of frequency n.The frequency heard by one observer will be

(a) Zero
(b) n
(c) n/3
(d) 3n

Velocity of sound waves in air is 330 m/s. For a particular sound in air a path difference of 40 cm is equivalent to phase difference of 1.6π. The frequency of the wave is

(a) 165 Hz
(b) 150 Hz
(c) 660 Hz
(d) 330 Hz

The power factor of the circuit shown in figure is

(a) 0.2
(b) 0.4
(c) 0.8
(d) 0.6

A particle is executing linear simple harmonic motion amplitude A. What fraction of the total energy is kinetic when the displacement is half the amplitude.

(a) 1/4
(b) 1/2√2
(c) 1/2
(d) 3/4

Two simple harmonic motions are represented by y1=4sin(πt– π/2) and y2=3cos(4πt). The resultant amplitude is

(a) /
(b) 1
(c) 5
(d) 2+√3

When 20 J of work was done on gas. 40 J of heat energy was released If the initial energy of the gas was 70 J what is the final internal energy’?

(a) 50 J
(b) -150 J
(c) 90 J
(d) 110 J

The value of g at a particular point is 9.8 ms-2 Suppose the earth suddenly shrinks uniformly to half it resent size without losing any mass . The value of g at the same point (distance of the point from the centre of earth does not change) Will now be

(a) 9.8 ms-2
(b) 4.9 ms-2
(c) 19.6 ms-2
(d) 39.2 ms-2

The Young’s modulus of a wire of length L the radius r is y newton per square meter lf the length is reduced to L/2 and radius L/2 Its Young’s modulus will be

(a) y/2
(b) y
(c) 2y
(d) 4y

A boy of mass m stands on one end of a wooden plank of length L. and muss M The plank is floating on water, If the boy walks from one end of the plank to the other end at a constant speed the
resulting displacement of the plank is given by

(a) mL/M
(b) ML/m
(c) mL/M+m
(d) mL/M-m

Wind blowing from South at 10 m/s but to a cyclist it appears to be blowing from the East at 10 m/s The cyclist has a velocity

(a) 10i – 10j
(b) 10i + 10j
(c) – 10i + 10j
(d) – 10i – 10j

The internal resistance of primary cell is 4Ω. It generates a current of 0.2 A in an external resistance of 21Ω. The rate at which chemical energy is consumed is providing the current is

(a) 0.42 J/s
(b) 0.24 J/s
(c) 5 J/s
(d) 1 J/s
There are N cells in the circuit of figure. The emf and internal resistance of each cell is E and r respectively. The points A and B in the circuit divide the circuit into n and (N – n) cells. The current in the circuit is

(a) E/r
(b) nE/r
(c) NE/Nr
(d) Zero

The magnetic flux linked with the coil varies with time as φ = 3t24t + 9. The magnitude of the induced emf of 2s is

(a) 9 V
(b) 16 V
(c) 3 V
(d) 4 V

The force F is given by expression F = A cos(Bx) Csin(Dt), where x is the displacement and t is the time. Then dimension of D/B are same as that of

(a) velocity [LT-1]
(b) angular velocity[T-1]
(c) angular momentum[ML2T-1]
(d) velocity gradient[T-1]

The thermo cmf of a thermocouple varies with the temperature θ of the hot junction as
E = aθ.bθ2 volt
where the ratio (a/b) is 700°C. If the cold junction is kept at O°C, then the neutral temperature is

(a) 700°C
(b) 350°C
(c) 1400°C
(d) no neutral temperature is possible

Carbon, silicon and germanium are semiconductors having four valance e If their respective band gap energies between conduction and valence band are (Eg)c, (Eg)S1, (Eg)Ge

(a)(Eg)S1<(Eg)Ge<(Eg)c
(b)(Eg)c<(Eg)Ge>(Eg)S1
(c)(Eg)c>(Eg)S1>(Eg)Ge
(d)(Eg)c=(Eg)Ge=(Eg)S1

If the earth stops moving around its polar axis then what will be effect on body placed at south axis?
(a) Remain same
(h) increase
(c) Decrease but not zero
(d) Decrease zero

In air the value of the total electric flux emitted from unit positive charge is
(a) to
(b) (coil
(c) (4πε0)-1
(d) 4πε0

A rod AB is l m long. The temperature of its one end A is maintained at 100’C and other end Bat 10°C, the temperature at a distance of 60 cm from point B is
(a) 64°C
(b) 36°C
(c) 46°C
(d) 72°C

In designing, a beam for its use to support a load. The depression at centre is proportional to (where, Y is Young’s modulus)
(a) Y2
(b) Y
(c) 1/Y
(d) 1/Y2

A balloon is filled at 27°C and latm pressure by 500 m’ lie. At -3°C and 0.5 atm pressure, the volume of lie will be
(a) 700 m3
(b) 900 m3
(c) 1000 m3
(d) 500 m3.

The particle of mass 50 kg is at rest. The work done to accelerates it by 20 m/s in 10 s is
(a) 103J
(b) 104J
(c) 2 x 103J
(d) 4 x 1034/sup>J

The moment of inertia of a circular loop of radius R. at a distance of R / 2 around a rotating axis parallel to horizontal diameter of loop is
(a) MR2
(b) 1/2 MR2
(C) 2MR2
(d) 3/4 MR2

The ratio of radius of two bubbles is 2: 1. What is the ratio excess pressure inside them?
(a) 1 : 2
(b) 1 : 4
(c) 2 : 1
(d) 4 : 1

In the capacitor of capacitance C, charge Q and energy W is stored. If charge is increased upto 2Q, the energy stored will be
(a) W/4
(b) W/2
(c) 2W
(d) 4W

The unit of thermal conductivity is
(a) Wm-1K-1
(b) JK-1
(c) Wmk
(d) JK

Photon and electron are given same energy (10-20 J) Wavelength associated with photon statement will he and electron are λp and λe the correct
(a) λp > λe
(b) λp < λe
(c) λp = λe
(d) λe / λp = c

The half-life of radioactive element is 600 yr. The fraction of sample that would remain after 3000 yr is
(a) 1/2
(b) 1/16
(c) 1/8
(d) 1/32

A particle moves along with x-axis. The position x of particle with respect to time r from origin given by x = b0 + b1t + b2t2. The acceleration of particle is
(a) b0
(b) b1
(c) b2
(d) 2b2

Root mean square speed of the molecules of ideal gas is v. If pressure is increased two times at constant temperature, then the rms speed will become
(a) v/2
(b) v
(c) 2v
(d) 4v

1 mole of gas occupies a volume of 200 mL at 100 mm pressure. What is the volume occupied by two motes of gas at 400 mm pressure and at same temperature?
(a) SO ml.
(b) 100 mL
(c) 200 mL
(d) 400 mL

A charged particle travels along a straight line with a speed v in a region where both electric field E and magnetic field B are present. it follows that
(a) |E| = v |B| and the two fields are parallel
(b) |E| = v |B| and the two fields are perpendicular
(c) |B| = v |E| and the two fields are parallel
(d) |B| = v |E| and the two fields are perpendicular

What will be the wave velocity, if the radar gives 54 waves/min and wavelength of the given wave is 10 m?
(a) 4 m/s
(b) 6 m/s
(c) 9 m/s
(d) S m/s

A transformer of 100% efficiency has 200 turns in the primary coil and 40000 rums in secondary coil. It is connected to a 220 V main supply and secondary feeds to a 100 kfl resistance. The potential difference per turn is
(a) 1.1 V
(b) 25 V
(c) 18 V
(d) 11 V

A thin convex lens of refractive index 1.5 has 20 cm focal length in air. If the lens is completely immersed in a liquid of refractive index 1.6, us focal length will be
(a) – 160 cm,
(b) – 100 cm
(c) + 10 cm
(d) + 100 cm

SI unit of permittivity is
(a) C2m2N2
(b) C2m-2N-1
(c) C2m2N-1
(d) C-1m2N-2

A spherical drop of capacitance 1 )41: is broken into eight drops of equal radius. Then, the capacitance of each small drop is
(a) 1/2 μF
(b) 1/4 μF
(c) 1/8 μF
(d) 8 μF

A simple harmonic oscillator consists of a panicle of mass in and an ideal spring with spring constant k. The particle oscillates with a time period T. The spring is cut into two equal parts. If one part oscillates with the same particle, the time period will be
(a) 2T
(b) √2T
(c) T / √2
(d) T/2

The coefficient of viscosity for hot air is
(a) greater than the coefficient of viscosity for cold air
(b) smaller than the coefficient of viscosity for cold air
(c) same as the coefficient of viscosity for cold air
(d) increase ur decrease depending on the external pressure

An artificial satellite moving in a circular orbit around the earth has a total (kinetic + potential) energy E0. Its potential energy is
(a) -E0
(b) 1.5 E0
(c) 2E0
(d) E0

A thin hollow sphere of mass m is completely filled with a liquid of mass rn. When the sphere rolls with a velocity v, kinetic energy of the system is (neglect friction)
(a) 1/2 mv2
(b) mv2
(c) 4/3 mv2
(d) 4/5 mv2

A non-conducting body floats in a liquid at 20°C with 2/3 of its volume immersed in the liquid. When liquid temperature is increased
to 100°C, 3 of body’s volume is immersed in the liquid. Then the coefficient of real expansion of the liquid is (neglecting the expansion of container of the liquid)
(a) 15.6 x 10-4°C-1
(b) 156 x 10-4°C-1
(c) 1.56 x 10-4°C-1
(d) 0.156 x 10-4°C-1

Two slabs A and B of different materials but of the same thickness are joined end to end to form a composite slab. The thermal conductivities of A and B are K1 and K2 respectively. A steady temperature difference of 12°C is maintained across the composite slab. If K1 = K2 / 2 the temperature difference across slabs A is
(a) 4°C
(b) 6°C
(c) 8°C
(d) 10°C

In short wave communication waves of which of following frequencies will be reflected back by the ionospheric layer having electron density 1011 per m3?
(a) 2 MHz
(b) 10 MHz
(c) 12 MHz
(d) 18 MHz

A body of mass 4 kg moving with velocity 12 m/s collides with another body of mass 6 kg at rest. If two bodies stick together after collision, then the loss of kinetic energy of system is
(a) zero
(b) 288 J
(c) 172.8 J
(d) 144 J