AIPMT 2011 Prelims

If the enthalpy change for the transition of liquid water to steam is 30 kJ mol\(-\)1 at 27oC, the entropy change for the process would be

An ac voltage is applied to a resistance R and an inductor L in series. If R and the inductive reactance are both equal to 3 \(\Omega\), the phase difference between the applied voltage and the current in the circuit is

In the ac circuit an alternating voltage e = \(200\sqrt 2\)sin100t volts is connected to a capacitor of capacity 1 \(\mu\)F. The r.m.s. value of the current in the circuit is

A radioactive nucleus of mass M emits a photon of frequency \(v\) and the nucleus recoils. The recoil energy will be

The wavelength of the first line of Lyman series for hydrogen atom is equal to that of the second line of Balmer series for a hydrogen like ion. The atomic number Z of hydrogen like ion is

The power obtained in a reactor using U235 disintegration is 1000 kW. The mass decay of U235 per hour is

Fusion reaction takes place at high temperature because

The half life of a radioactive isotope X is 50 years. It decays to another element Y which is stable. The two elements X and Y were found to be in the ratio of 1 : 15 in a sample of a given rock. The age of the rock was estimated to be

A nucleus \({}_n^mX\) emits one \(\alpha\) particle and two \(\beta\) particles. The resulting nucleus is

A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each plate is A, the energy stored in the capacitor is

A current of 2 A flows through a 2 \(\Omega\) resistor when connected across a battery a 2 \(\Omega\) resistor when connected across a battery. The same battery supplies a current of 0.5 A when connected across a 9 \(\Omega\) resistor. ...

If power dissipated in the 9 \(\Omega\) resistor in the circuit shown is 36 watt, the potential difference across the 2 \(\Omega\) resistor is

In the Davisson and Germer experiment, the velocity of electrons emitted from the electron gun can be increased by

Photoelectric emission occurs only when the incident light has more than a certain minimum

Light of two different frequencies whose photons have energies 1 eV and 2.5 eV respectively illuminate a metallic surface whose work function is 0.5 eV successively. Ratio of maximum speeds of emitted electrons will be

In photoelectric emission process from a metal of work function 1.8 eV, the kinetic energy of most energetic electrons is 0.5 eV. The corresponding stopping potential is

Electrons used in an electron microscope are accelerated by a voltage of 25 kV. If the voltage is increased to 100 kV then the de-Broglie wavelength associated with the electrons would

The current \(i\) in a coil varies with time as shown in the figure. The variation of induced emf with time would be

The decreasing order of wavelength of infrared, microwave, ultraviolet and gamma rays is

The electric and the magnetic field, associated with an e.m. wave, propagating along the +z-axis, can be represented by

Four electric charges +q, +q, \(-\) q and \(-\) q are placed at the corners of a square of side 2L (see figure). The electric potential at point A, midway between the two charges + q and +q, is

A charge Q is enclosed by a Gaussian spherical surface of radius R. If the radius is doubled, then the outward electric flux will

A biconvex lens has a radius of curvature of magnitude 20 cm. Which one of the following options describe best the image formed of an object of height 2 cm placed 30 cm from the lens ?

Which of the following is not due to total internal reflection ?

A planet moving along an elliptical orbit is closest to the sun at a distance r1 and farthest away at a distance of r2. If \(v\)1 and \(v\)2 are the linear velocities at these points respectively, then the ratio \({{{v_1}} \over {{v_2}}}\) ...

During an isothermal expansion, a confined ideal gas does \(-\) 150 J of work against its surroundings. This implies that

When 1 kg of ice at 0oC melts to water at 0oC, the resulting change in its entropy, taking latent heat of ice to be 80 cal/oC, is

A body of mass M hits normally a rigid wall with velocity V and bounces back with the same velocity. The impulse experienced by the body is

A person of mass 60 kg is inside a lift of mass 940 kg and presses the button on control panel. The lift starts moving upwards with an acceleration 1.0 m/s2. If g = 10 ms\(-\)2, the tension in the supporting cable is

There are four light-weight-rod samples A, B, C, D separately suspended by threads. A bar magnet is slowly brought near each sample and the following observations are noted
(i)  A is feebly repelled
(ii)  B is feebly attracted
(iii)  C is ...

A body is moving with velocity 30 m/s towards east . After 10 seconds its velocity becomes 40 m/s towards north. The average acceleration of the body is

A particle moves in a circle of radius 5 cm with constant speed and time period 0.2\(\pi\) s. The acceleration of the particle is

A missile is fired for maximum range with an initial velocity of 20 m/s. If g = 10 m/s2, the range of the missile is

A boy standing at the top of a tower of 20 m height drops a stone. Assuming g = 10 m s\(-\)2, the velocity with which it hits the ground is

A current carrying closed loop in the form of a right angle isosceles triangle ABC is placed in uniform magnetic field acting along AB. If the magnetic force on the arm BC is \(\overrightarrow {F,}\) the force on the arm AC is

A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected in the region such that its velocity is pointed along the direction of fields, then the electron

Out of the following functions representing motion of a particle which represents SHM
(1)  y = sin\(\omega\)t \(-\) cos\(\omega\)t
(2)  y = sin3\(\omega\)t
(3)  y = 5cos\(\left( {{{3\pi } \over 4} - 3\omega t} \right)\)
(4)  y = 1 + $$\o...

The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its midpoint and perpendicular to its length is \(I\)0. Its moment of inertia about an axis passing through one of its ends and perpendicular ...

The instantaneous angular position of a point on a rotating wheel is given by the equation \(\theta \left( t \right) = 2{t^3} - 6{t^2}\)
The torque on the wheel becomes zero at

A transistor is operated in common emitter configuration at VC = 2 V such that a change in the base current from 100 \(\mu\)A to 300 \(\mu\)A produces a change in the collector current from 10 mA to 20 mA. The current gain is

Symbolic representation of four logic gates are shown as

Pick out which ones are for AND, NAND and NOT gates, respectively

In forward biasing of the p-n junction

If a small amount of antimony is added to germanium crystal

The dimensions of \({\left( {{\mu _0}{\varepsilon _0}} \right)^{ - 1/2}}\) are

Sound waves travel at 350 m/s through a warm air and at 3500 m/s through brass. The wavelength of a 700 Hz acoustic wave as it enters brass from warm air

Two waves are represented by the equations
y1 = \(a\)sin(\(\omega\)t + kx + 0.57) m and
y2 = acos(\(\omega\)t + kx) m, where x is in meter and t \(in\) sec. The phase difference between them is

Force F on a particle moving in a straight line varies with distance d as shown in figure.

The work done on the particle during its displacement of 12 m is

A body projected vertically from the earth reaches a height equal to earth's radius before returning to the earth. The power exerted by the gravitational force is greatest

A particle of mass m is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time ?

The potential energy of a system increases if work is done