AIPMT 2012 Paper With Detailed Solutions - NEET MCQ

A particle has initial velocity  and acceleration . The magnitude of velocity after 10 seconds will be

A car of mass 1000 kg negotiates a banked curve of radius 90 m on a fictionless road. If the banking angle
is 45º, the speed of the car is

A solid cylinder of mass 3 kg is rolling on a horizontal surface with velocity 4 ms^–1. It collides with a horizontal spring of force constant 200 Nm^–1. The maximum compression produced in the spring will be

The potential energy of a particle in a force field is  where A and B are positive constants and r is the distance of particle from the centre of the field. For stable equilibrium, the distance of the particle is

Two spheres A and B of masses m₁ and m₂ respectively collide. A is at rest initially and B is moving with
velocity v along x-axis. After collision B has a velocity V/2. in a direction perpendicular to the original
direction. The mass A moves after collision in the direction

Two persons of masses 55 kg and 65 kg respectively, are at the opposite ends of a boat. The length of the
boat is 3.0 m and weighs 100 kg. The 55 kg man walks up to the 65 kg man and sits with him. If the
boat is in still water the center of mass of the system shifts by

ABC is an equilateral triangle with O as its centre   represent three forces acting along the sides AB, BC and AC respectively. If the total torque about O is zero then the magnitude of

 is 

When a mass is rotating in a plane about a fixed point, its angular momentum is directed along

A spherical planet has a mass M_p and diameter D_p. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity, equal to

A geostationary satellite is orbiting the earth at a height of 5R above that surface of the earth, R being the radius of the earth. The time period of another satellite in hours at a height of 2R from the surface of the earth is

The height at which the weight of a body becomes 1^th/ 16 its weight on the surface of earth (radius R), is

Two sources of sound placed close to each other, are emitting progressive waves given by y₁=4sin600πt
and y₂ = 5sin608πt. An observer located near these two sources of sound will hear

When a string is divided into three segments of length l₁, l₂ and l₃ , the fundamental frequencies of these
three segments are ν₁, ν₂ and ν₃ respectively. The original fundamental frequency (v) of the string is

One mole of an ideal gas goes from an initial state A to final state B via two processes: It first undergoes
isothermal expansion from volume V to 3V and then its volume is reduced from 3V to V at constant
pressure. The correct P-V diagram representing the two processes is

A thermodynamic system is taken through the cycle ABCD as shown in figure. Heat rejected by the gas
during the cycle is

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?

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.)

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

φ = 50t² + 4

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

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?

In an electrical circuit R, L, C and an 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:

A ring is made of a wire having a resistance R₀ = 12 Ω. 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 points is equal to 8/3 Ω

If voltage across a bulb rated 220 volt - 100 watt drops by 2.5% of its rated value, the percentage of the
rated value by which the power would decrease is

In the circuit shown the cells A and B have negligible resistances. For V_A = 12 V, R₁ = 500 Ω and
R = 100 Ω the galvanometer (G) shows no deflection. The value of V_B is

The electric field associated with an e.m. wave in vacuum is given by  where E, z and t are in volt/m, metre and seconds respectively. The value of wave vector k is

What is the flux through a cube of side a if a point charge of q is at one of its corner?

An electric dipole of moment p is placed in an electric field of intensity E . The dipole acquires a position
such that the axis of the dipole makes an angle θ with the direction of the field. Assuming that the potential energy of the dipole to be zero when θ = 90°, the torque and the potential energy of the dipole will respectively be

Four points charges –Q, –q, 2q and 2Q are placed, one at each corner of the square. The relation between
Q and q for which the potential at the centre of the square is zero is