AIPMT 2014

A transformer having efficiency of 90% is working on 200 V and 3 kW power supply. If the current in the secondary coil is 6 A, the voltage across the secondary coil and the current in the primary coil respectively are

A radioactive X with a half life 1.4 \(\times\) 109 years decays to Y which is stable. A sample of the rock from a cave was found to contain X and Y in the ratio 1 : 7. The age of the rock is

Hydrogen atom in ground state is excited by a monochromatic radiation of \(\lambda\) = 975 \(\mathop A\limits^ \circ\). Number of spectral lines in the resulting spectrum emitted will be

The binding energy per nucleon of and nuclei are 5.60 MeV and 7.06 MeV respectively. In the nuclear reaction
\({}_3^7Li + {}_1^1H \to {}_2^4He + _2^4He + Q\)
the value of energy Q released is

Two thin dielectric slabs of dielectric constants K1 and K2(K1 < K2) are inserted between plates of a parallel plate capacitor, as shown in the figure. The variation of electric field E between the plates with distance d as measured from pl...

A body of mass (4m) is lying in x-y plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass (m) move perpendicular to each other with equal speeds (v). The total kinetic energy generated due to explosion is :

The force F acting on a particle of mass m is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to 8 s is :

The resistances in the two arms of the meter bridge are 5 \(\Omega\) and R\(\Omega\) respectively. When the resistance R is shunted with an equal resistance, the new balance point is at 1.6\(l\)1. The resistance R is

A potentiometer circuit has been set up for finding the internal resistance of a given cell. The main battery, used across the potentiometer wire, has an emf of 2.0 V and a negligible internal resistance. The potentiometer wire itself is 4 ...

Two cities are 150 km apart. Electric power is sent from one city to another city through copper wires. The fall of potential per km is 8 volt and the average resistance per km is 0.5 \(\Omega\). The power loss in the wire is

If the kinetic energy of the particle is increased to 16 times its previous value, the percentage change in the de Broglie wavelength of the particle is

When the energy of the incident radiation is increased nby 20%, the kinetic energy of the photoelectrons emitted from a metal surface increased from 0.5 eV to 0.8 eV. The work function of the metal is

A thin semicircular conducting ring (PQR) of radius r is falling with its plane vertical in a horizontal magnetic field B, as shown in the figure.

The potential difference developed across the ring when its speed is \(v\), is

Light with an energy flux of 25 \(\times\) 104 W m\(-\)2 falls on a perfectly reflecting surface at normal incidence. If the surface area is 15 cm2, the average force exerted on the surface is

In a region, the potential is represented by V(x, y, z) = 6x \(-\) 8xy \(-\) 8y + 6yz,   where \(V\) is in volts and x, y, z are in metres. The electric force experienced by a charge of 2 coulomb situated at point (1, 1, 1) is

A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the centre of the sphere rrespectively are

If the focal length of objective lens is increased then magnifying power of

The angle of a prism is A. One of its refracting surfaces is silvered. Light rays falling at an angle of incidence 2 A on the first surface returns back through the same path after suffering reflection at the silvered surface.
The refracti...

A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would earth (mass = 5.98 \(\times\) 1024 kg) have to be compressed to be a black hole?

Dependence of intensity of gravitational field (E) of earth with distance (r) from centre of earth is correctly represented by

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)