AIPMT 2011 Mains

A particle of mass m is thrown upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth are, respectively, M and R. G is gravitational constant and g is acceleration due to gravity on the surface of the...

A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point sutuated at a/2 distance from the centre, will be :

A mass of diatomic gas \((\gamma = 1.4)\) at a pressure of 2 atmospheres is compressed adiabatically so that its temperature rises from 27oC to 927oC. The pressure of the gas in the final state is

A conveyor belt is moving at a constant speed of 2 ms\(-\)1. A box is gently dropped on it. The coefficient of friction between them is \(\mu\) = 0.5. The distance that the box will move relativce to belt before coming to rest on it, takin...

A short bar magnet of magnetic moment 0.4 J T\(-\)1 is placed in a uniform magnetic field of 0.16 T. The magnet is in stable equilibrium when the potential energy is

A projectile is fired at an angle of 45o with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection, is

A particle covers half of its total distance with speed v1 and the rest half distance with speed v2. Its average speed during the complete journey is

A square loop, carrying a teady current \(I\), is placed in a horizontal plane near a long straight conductor carrying a steady current \(I\)1 at a distance d from the conductor as shown in figure. The loop will experience

Charge q is uniformly spread on a thin ring of radius R. The ring rotates about its axis with a uniform frequency \(f\) Hz. The magnitude of magnetic induction at the center of the ring is

A galvanometer of resistance, G, is shunted by a resistance S ohm. To keep the main current in the circuit unchanged, the resistance to be put in series with the galvanometer is

Two particles are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean posit...

A small mass attached to a string rotates on a frictionless table top as shown. If the tension in the string is increased by pulling the string causing the radius of the circular motion to decrease by a factor of 2, the kinetic energy of t...

A Zener diode, having breakdown voltage equal to 15 V, is used in a voltage regulator circuit shown in figure. The current through the diode is

Pure Si at 500 K has equal number of electron (ne) and hole (nh) concentrations of 1.5 \(\times\) 1016 m\(-\)3. Doping by indium increases nh to 4.5 \(\times\) 1022 m\(-\)3. The doped semiconductor is of

In the following figure, the diodes which are forward biased, are

The density of a material in CGS system of units is 4 g cm\(-\)3. In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will be

Two identical piano wires, kept under the same tension T have a fundamental frequency of 600 Hz. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beats/s when both the wires oscillate together wo...

A mass m moving horizontally (along the x-axis) with velocity \(v\) collides and sticks to a mass of 3m moving vertically upwards (along the y-axis) with velocity 2\(v\). The final velocity of the combination is