AIPMT 2004

A coil of 40 henry inductance is connected in series with a resistance of 8 ohm and the combination is joined to the terminals of a 2 volt battery. The time constant of the circuit is

The Bohr model of atoms

The half life of radian is about 1600 years. Of 100 g of radium existing now, 25 g will remain unchanged after

If in a nuclear fusion process the masses of the fusing nuclei be m1 and m2 and the mass of the resultant nucleus be m3, then

If M(A; Z), Mp and Mn denote the masses of the nucleus \({}_Z^AX,\) proton and neutron respectively in units of u (1 u = 931.5 MeV/c2) and BE represents its bonding energy in MeV, then

A nucleus represented by the symbol \({}_Z^AX\) has

Consider a system of two particles having masses m1 and m2. If the particle of mass m1 is pushed towards the mass centre of particles through a distance d. by what distance would be particle of mass m2 move so as to keep the mass centre of ...

A 6 volt battery is connected to the terminals of a three metre long wire of uniform thickness and resistance of 100 ohm. The difference of potential between two points on the wire separated by a distance of 50 cm will be

Five equal resistances each of resistances R are connected as shown in the figure. A battery of V volts is connected between A and B. The current flowing in AFCEB will be

The electric resistance of a certain wire of iron is R. If its length and radius are both doubled, then

Resistance n, each of r ohm, when connected in parallel give an equivalent resistance of R ohm. If these resistances were connected in series, the combination would have a resistance in ohms, equal to

when three identical bulbs of 60 watt, 200 volt rating are connected in series to a 200 volt supply, the power drawn by them will be

In India electricity is supplied for domestic use at 220 V. It is supplied at 110 V in USA. If the resistance of a 60 W bulb for use in India is R, the resistance of a 60 W bulb for use in USA will be

According to Einstein's photoelectric equation, the graph between the kinetic energy of photoelectrons ejected and the frequency of incident radiation is

The magnetic flux through a circuit of resistance R changes by an amount \(\Delta\)\(\phi\) in a time \(\Delta\)t. Then the total quantity of electric charge Q that passes any point in the circuit during the time \(\Delta\)t is represen...

An electric dipole has the magnitude of its charge as q and its dipole moment is p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field, the force on it and its potential energy are respecti...

A bullet of mass 2 g is having a charge of 2 \(\mu\)C. Through what potential difference must it be accelerated, starting from rst, to acquire a speed of 10 m/s ?

A beam of light composed of red and green ray is incident obliquely at a point on the face of rectangular glass slab. When coming out on the opposite parallel face, the red green ray emerge from

The refractive index of the material of a prism is \(\sqrt 2\) and its refracting angle is 30o. One of the refracting surfaces of the prism is made a mirror inwards. A beam of monochromatic light entering the prism from the other face with...

The density of a newly discovered planet is twice that of earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is R, the radius of the planet would be

The equation of state for 5 g of oxygen at a pressure P and temperature T, when occupying a volume V, will be
(where R is the gas constant)

One mole of an ideal gas at an initial temperature of T K does 6R joule of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is 5/3, the final temperature of gas will be

The coefficient of static friction, \(\mu\)s, between block A of mass 2 kg and the table as shown in the figure is 0.2. What would be the maximum mass value of block B so that the two blocks do not move? The string and the pulley are assu...

A block of mass m is placed on a smooth wedge of inclination \(\theta\). The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block will be (g is acceleration due...

If \(\left| {\overrightarrow A \times \overrightarrow B } \right| = \sqrt 3 \overrightarrow A .\overrightarrow B\) then the value of \(\left| {\overrightarrow A + \overrightarrow B } \right|\) is

A galvanometer of 50 ohm resistance has 25 divisions. A current of 4 \(\times\) 10\(-\)4 ampere gives a deflection of one division. To convert this galvanometer into a voltmeter having a range of 25 volts, it should be connected with a re...

To convert a galvanometer into a voltmeter one should connect a

A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 cm/s. The frequency of its oscillation is

Two springs of spring constants k1 and k2 are joined in series. The effective spring constant of the combination is given by

If \(\lambda\)m denotes the wavelength at which the radioactive amission from a black body at a temperature TK is maximum, then

A round disc of moment of inertia \(I\)2 about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia \(I\)1 rotating with an angular velocity \(\omega\) about the same axis. T...

Three particles, each of mass m gram, are situated at the vertices of an equilateral triangle ABC of side \(l\) cm (as shown in the figure). The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC, in...

The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axes in the plane of the ring is

A wheel having moment of inertia 2 kg m2 about its vertical axis, rotates at the rate of 60 rpm about this axis. The torque which can stop the wheel's rotation in one minute would be

The peak voltage in the output of a half wave diode rectifier fed with a sinusoidal signal without filter is 10 V. The d.c. component of the output voltage is

Of the diodes shown in the following diagrams, which one is reverse biased ?

The output of OR gate is 1

In semiconductors at a room temperature

The unit of permittyvity of free space, \({\varepsilon _0}\), is

The dimensions of universal gravitational constant are

A telescope has an objective lens of 10 cm diameter and is situated at a distance of one kilometer from two objects. The minimum distance between these two objects, which can be resolved by the telescope, when the mean wavelength of light i...

The phase difference between two waves. represented by
y1 = 10\(-\)6 sin[100t + (x/50) + 0.5] m
y2 = 10\(-\)6 cos[100t + (x/50)] m,
where x is expressed in metres and t is exressed in secondss, is approximately.

A car is moving towards a high cliff. The driver sounds a horn of frequency \(f\). The reflected sound heard by the driver has frequency \(2f\). If v is the velocity of sound, then the velocity of the car, in the same velocity units, will ...

A mass of 0.5 kg moving with a speed of 1.5 m/s on horizontal smooth surface, collides with a nearly weightless spring of force constant k = 50 N/m. The maximum compression of the spring would be

A particle of mass m1 is moving with a velocity v1 and another particle of mass m2 is moving with a velocity v2. Both of them have the same momentum but their different kinetic energies are E1 and E2 respectively. If m1 > m2 then :

A ball of mass 2 kg and another of mass 4 kg are dropped together from a 60 feet ball building. After a fall of 30 feet each towards earth, their respective kinetic energies will be in the ratio of