AIPMT 2010 Mains

A condenser of capacity C is charged to a potential difference of V1. The plates of th condenser are then connected to an ideal inductor of inductance L. The current through the inductor when the potential difference across the condenser re...

The decay constant of a radio isotope is \(\lambda\). If A1 and A2 are its activities at times t1 and t2 respectively, the number of nuclei which have decayed during the time (t1 \(-\) t2)

The binding energy per nucleon in deuterium and helium nuclei are 1.1 MeV and 7.0 MeV, respectively. When two deuterium nuclei fuse to form a helium nucleus the energy released in the fusion is

Two parallel metal plates having charges +Q and \(-\)Q face each other at a certain distance between them. If the plates are now dipped in kerosene oil tank, the electric field between the plates will

The electron in the hydrogen atom jumps from excited state (n = 3) to its ground state (n = 1) and the photons thus emitted irradiate a photosensitive material. If the work function of the material is 5.1 eV, the stopping potential is estim...

When monochromatic radiation of intensity \(I\) falls on a metal surface, the number of photoelectrons and their maximum kinetic energy are N and T respectively. If the intensity of radiation is 2\(I\), the number of emitted electrons and t...

The electric field of an electromagnetic wave in free space is given by \(\overrightarrow E = 10\cos ({10^7}t + kx)\widehat j\,\,V/m,\) where t and x are in seconds and metres respectively. It can be inferred that
(1)  the wavelength $$\la...

The electric field at a distance \({{3R} \over 2}\) from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance \({R \over 2}\) from the centre of the sphere is

A rays of light is incident on a 60o prism at the minimum deviation position. The angle of refraction at the first face (i.e., incident face) of the prism is

The speed of light in media M1 and M2 are 1.5 \(\times\) 108 m/s and 2.0 \(\times\) 108 m/s respectively. A ray of light enters from medium M1 to M2 at an incidence angle i. If the rays suffers total internal reflection, the value of i ...

(1)   Centre of gravity (C.G) of a body is the point at which the weight of the body acts
(2)   Centre of mass coincides with the centre of gravity if the earth is assumed to have infinitely large radius.
(3)   To evaluate the gravitation...

The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M, to transfer it from a circular orbit of radius R1 to another of radius R2(R2 > R1) is

The dependence of acceleration due to gravity g on the distance r from the centre of the earth, assumed to be a sphere of radius R of uniform density is as shown in figures below

The correct figure is

If cp and cv denote the specific heats (per unit mass of an ideal gas of molecular weight M, then

A monatomic gas at pressure P1 and volume V1 is compressed adiabatically to \({{1 \over 8}^{th}}\) of its original volume. What is the final pressure of the gas?

Two identical bar magnets are fixed with their centers at a distance d apart. A stationary charge Q is placed at P in between the gap of the two magnets at a distance D from the centre O as shown in the figure

The force on the charge Q is...

The magnetic moment of a diamagnetic action is

A particle moves in x-y plane according to rule x = asin\(\omega\)t and y = acos\(\omega\)t. The particle follows

The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is

A particle having a mass of 10\(-\)2 kg carries a charge of 5 \(\times\) 10\(-\)8 C. The particle is given an initial horizontal velocity of 105 m s\(-\)1 in the presence of electric field \(\overrightarrow E\) and magnetic field $$\over...

A closely wound solenoid of 2000 turns and area of cross-section 1.5 \(\times\) 10\(-\)4 m2 carries a current of 2.0 A. It is suspended through its centre and perpendicular to its length, allowing it to turn in a horizontal plane in a uni...

A current loop consists of two identical semicircular parts each of radius R, one lying in the x-y plane and the other in x-z plane. If the current in the loop is \(i\). The resultant magnetic field due to the two semicircular parts at the...

A thin circular ring of mass M and radius r is rotating about its axis with constant angular velocity \(\omega\). Two objects each of msass m are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with ang...

From a circular disc of radius R and mass 9M, a small disc of mass M and radius \({R \over 3}\) is removed concentrically. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through ...

A solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on an inclined plane. Both roll down without slipping. Which one will reach the bottom first?

The following figure shows a logic gate circuit with two inputs A and B and the output Y. The voltage waveforms of A, B and Y are as given.

The logic gate is

For transistor action
(1)  Base, emitter and collector regions should have similar size and doping concentrations.
(2)  The base region must be vety thin and lightly doped.
(3)  The emitter-base junction is forward biased and base-collecto...

A student measures the distance traversed in free fall of a body, initially at rest, in a given time. He uses this data to estimate g, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the ...

A particle of mass M, starting from rest, undergoes uniform acceleration. If the speed acquired in time T is V, the power delivered to the particle is