AIPMT 2003

The volume occupied by an atom is greater than the volume of the nucleus by a factor of about

The mass number of a nucleus is

A sample of radioactive element has a mass of 10 g at an instant t = 0. The approximate mass of this element in the sample after two mean lives is

Solar energy is mainly caused due to

In which of the following systems will the radius of the first orbit (n = 1) be minimum ?

A nuclear reaction given by
ZXA \(\to\) z+1YA + \(-\)1e0 + \(\overline v\) represents

The mass of proton is 1.0073 u and that of neutron is 1.0087 u (u = atomic mass unit). The binding energy of \({}_2^4\) He is
(Given helium nucleus mass \(\approx\) 4.0015 u.)

An electron is moving round the nucleus of a hydrogen atom in a circular orbit of radius r. The Coulomb force \(\overrightarrow F\) between the two is

Three capacitors each of capacity 4 \(\mu\)F are to be connected in such a way that the effective capacitance is \(6\mu F.\) This can be done by

A stationary particle explodes into two particles of masses m1 and m2 which move in opposite directions with velocities v1 and v2. The ratio of their kinetic energies E1/E2 is :

Two 220 volt, 100 watt bulbs are connected first in series and then in parallel. Each time the combination is connected to a 220 volt a.c. supply line. The power drawn by the combination in each case respectively will be

Fuse wire is a wire of

An electric kettle has two heating coils. When one of the coils is connected to an a.c. source, the water in the kettle boils in 10 minutes. When the other coil is used the water boils in 40 minutes. If both the coils are connected in paral...

In a Wheatstone's bridge all the four arms have equal resistance R. If the resistance of the galvanometer arm is also R, the equivalent resistance of the combination as seen by the battery is

J.J. Thomson's cathode-ray tube experiment demonstrated that

A photoelectric cell is illuminated by a point source of light 1 m away. When the source is shifted to 2 m then

We consider the radiation emitted by the human body. Which one of the following statements is true?

Which of the following rays are not electromagnetic waves ?

A charge q is located at the centre of a cube. The electric flux through any face is

A convex lens is dipped in a liquid whose refractive index is equal to the refractive index of the lens. Then its focal length will

An equiconvex lens is cut into two halves along (i) XOX' and (ii) YOY' as shown in the figure. Let \(f,f',\) \(f''\) be the focal lengths of the complete lens, of each half in case (i), and of each half in case (ii), respectively.
Choo...

The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2 m on the surface of A. What is the height of jump by the same person on the planet B?

A body of mass m is placed on earth's surface which is taken from earth surface to a height of h = 3R, then change in gravitational potential energy is

Two spheres of masses m and M are situated in air and the gravitational force between them is F. The space around the masses is now filled with a liquid of specific gravity 3. The gravitational force will now be

An ideal gas heat engine operates in a Carnot cycle between 227oC and 127oC. It absorbs 6 kcal at the height temperature. The amount of heat (in kcal) converted into work is equal to

A man weight 80 kg. He stands on a weighting scale in a lift which is moving upwards with a uniform acceleration of 5 m/s2. What would be the reading on the scale ? (g = 10 m/s2)

A monkey of mass 20 kg is holding a vertical rope. The rope will not break when a mass of 25 kg is suspended from it but will break if the mass exceeds 25 kg. What is the maximum acceleration with which the monkey can climb up along the ro...

A diamagnetic material in a magnetic field moves

According to Curie's law, the magnetic susceptibility of a substance at an absolute temperature \(T\) is proportional to

A bar magnet is oscillating in the Earth's magnetic field with a period T. What happens to its period and motion if its mass is quadrupled?

The vector sum of two forces is perpendicular to their vector differences. In that case, the forces

If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is

A man throws balls with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two balls are in the sky at any time ? (Given g = 9.8 m/s2)

A charged particle moves through a magnetic field in a firection perpendicular to it. Then the

A long solenoid carrying a current producess a magnetic field B along its axis. If the current is doubled and the number of turns per cm is halved, the new value of the magnetic field is

A particle of mass m oscillates with simple harmonic motion between points x1 and x2, the equilibrium position being O. Its potential energy is plotted. It will be as given below in the graph

The time period of mass suspended from a spring is T. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be

Which one of the following statements is true for the speed v and the acceleration a of a particle executing simple harmonic motion?

In case of a forced vibration, the resonance peak becomes very sharp when the

The potential energy of a simple harmonic oscillator when the particle is half way to its end point is

Consider a compound slab consisting of two different materials having equal thicknesses and thermal conductivities K and 2K, respectively. The equivalent thermal conductivity of the slab is

A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h. What is the speed of its centre of mass when the cylinder reaches its bottom ?

A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is K. If radius of the ball be R. then the fraction of total energy associated with its rotational energy will be

A thin circular ring of mass M and radius r is rotating about its axis with a constant angular velocity \(\omega\). Four objects each of mass m, are kept gently to the opposite ends of two perpendicular diameters of the ring. The angular v...

A stone is tied to a string of length \(l\) and is whirled in a vertical circle with the other end of the string as the centre. At a certain instant of time, the stone is at its lowest position and has a speed u. The magnitude of the change...

If a full wave rectifier circuit is operating from 50 Hz mains, the fundamental frequency in the ripple will be

Reverse bias applied to a junction diode

Barrier potential of a p-n junction diode does not depened on

A n-p-n transistor conducts when

An observer moves towards a stationary source of sound with a speed 1/5th of the speed of sound. The wavelength and frequency of the source emitted are \(\lambda\) and \(f\) respectively. The apparent frequency and wavelength recorded by t...