AIPMT 2014

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

A monatomic gas at a pressure P, having a volume V expands isothermally to a volume 2V and then adiabatically to a volume 16V. The final pressure of the gas is (Take \(\gamma\) = 5/3)

A thermodynamic system undergoes cyclic process ABCDA as shown in figure. The work done by the system in the cycle is

A system consists of three masses m1, m2 and m3 connected by a string passing over a pulley P. The mass m1 hangs freely and m2 and m3 are on a rough horizontal table (the coefficient of friction = \(\mu\)). The pulley is frictionless and o...

A balloon with mass m is descending down with an acceleration a (where a < g). How much mass should be removed from it so that it starts moving up with an acceleration a ?

Following figures show the arrangement of bar magnets in different configurations. Each magnet has magnetic dipole moment \(\overrightarrow m .\) Which configuration has highest net magnetic dipole moment ?

A projectile is fired from the surface of the earth with a velocity of 5 m s\(-\)1 and angle \(\theta\)
with the horizontal. Another projectile fired from another planet with a velocity of 3 m s\(-\)1 at the same angle follows a traject...

A particle is moving such that is position coordinates (x, y) are (2 m, 3 m) at time t = 0, (6 m, 7 m)
at time t = 2 s and (13 m, 14 m) at time t = 5 s.
Average velocity vector \(\left( {{{\overrightarrow v }_{av}}} \right)\) from t = 0 t...

Two identical long conducting wires \(AOB\) and \(COD\) are placed at right angle to each other, with one above other such that \(O\) is their common point for the two. The wires carry \(I\)1 and \(I\)2 currents, respectively. Point \(P\) i...

In an ammeter 0.2% of main current passes through the galvanometer. If resistance of galvanometer is G, the resistance of ammeter will be

The oscillation of a body on a smooth horizontal surface is represented by the equation,
X = A cos\(\left( {\omega t} \right)\)
where X = displacement at time t
\(\omega\) = frequency of oscillation
Which one of the following graphs show...

Certain quantity of water cools from 70oC to 60oC in the first 5 minutes and to 54oC in the next 5 minutes. The temperature of the surroundings is

Copper of fixed volume V is drawn into wire of length \(l\). When this wire is subjected to a constant force F, the extension produced in the wire is \(\Delta\)\(l\). Which of the following graphs is a straight line ?

Steam at 100oC is passed into 20 g of water at 10oC. When water acquires a temperature of 80oC, the mass of water present will be
[Take specific heat of water = 1 cal g\(-\)1 oC\(-\)1 and latent heat of steam = 540 cal g\(-\)1]

A certain number of spherical drops of a liquid of radius r coalesce to form a single drop of radius R and volume V. If T is the surface tension of the liquid, then

The ratio of the accelerations for a solid sphere (mass m and radius R) rolling down an incline of angle \(\theta\) without slipping and slipping down the incline without rolling is

A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an an...

The given graph represents V-I characteristic for a semiconductor device.

Which of the following statement is correct ?

The barrier potential of a p-n junction depends on
(1)   type of semiconductor material
(2)   amount of doping
(3)   temperature
Which one of the following is correct ?

If force (F), velocity (V) and time (T) are taken as fundamental units, then dimensions of mass are

A beam of light of \(\lambda = 600\) nm from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a screen 2 m away. The distance between first dark fringes on either side of the central br...

In the Young's double slit experiment, the intensity of light at a point on the screen where the path difference \(\lambda\) is K, (\(\lambda\) being the wavelength of light used). The intensity at a point where the path difference is $$\...

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

A speeding motorcyclist sees traffic jam ahead him. He slows down to 36 km hour\(-\)1. He finds that traffic has eased and a car moving ahead of him at 18 km hour\(-\)1 is honking at a frequency of 1392 Hz. If the speed of sound is 343 m s...

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