AIPMT 2005

In a circuit L, C and R are connected in series with an alternating voltage source of frquency \(f.\) The current leads the voltage by 45o. The value of C is

In any fission process the ratio

mass of fission products
mass of parent nucleus
is

Which one of the following pairs of nuclei are isotones ?

In the reaction \({}_1^2\)H + \({}_1^3\)H \(\to\) \({}_2^4\)He + \({}_0^1\)n, if the binding energies of \({}_1^2\) H, \({}_1^3\)H and \({}_2^4\)He are respectively a, b and c (in MeV), then the energy (in MeV) released in this reaction i...

Energy levels A, B and C of a certain atom corresponding to increasing values of energy i.e. EA < EB < EC. If \(\lambda\)1, \(\lambda\)2 and \(\lambda\)3 are wavelengths of radioations corresponding to transitions C to B, B to A and C ...

The total energy of an electron in the first excited state of hydrogen atom is about \(-\) 3.4 eV. Its kinetic energy in this state is

Fission of nuclei is possible because the binding energy per nucleon in them

A network of four capacitors of capacity equal to C1 = C, C2 = 2C, C3 = 3C and C4 = 4C are connected to a battery as shown in the figure. The ratio of the charges on C2 and C4 is

A bomb of mass 30 kg at rest explodes into two pieces of masses 18 kg and 12 kg. The velocity of 18 kg mass is 6 m s\(-\)1. The kinetic energy of the other mass is :

Two batteries, one of emf 18 volts and internal resistance 2 \(\Omega\) and the other of emf 12 volts and internal resistance 1 \(\Omega\), are connected as shown. The voltmeter V will record a reading of

When a wire of uniform cross-section \(a\) length \(l\) and resistance R is bent into a complete circle. resistance between any two of diametrically opposite points will be

For the network shown in the figure the value of the current \(i\) is

A 5-ampere fuse wire can withstand a maximum power of 1 watt in the circuit. The resistance of the fuse wire is

A photosensitive metallic surface has work function, h\(\upsilon\)0. If photons of energy \(2h{\upsilon _0}\) fall on this surface, the electrons come out with a maximum velocity of 4 \(\times\) 106 m/s. When the photon energy is increas...

The work functions for metals A, B and C are respectively 1.92 eV, 2.0 eV and 5 eV. According to Einstein's equation the metals which will emit photoelectrons for a radiation of wavelength 4100 \(\mathop A\limits^ \circ\) is/are

As a result of change in the magnetic flux linked to the closed loop as shown in the figure, an e.m.f. \(V\) volt is induced in the loop. The work done (joule) in taking a charge Q coulomb once along the loop is

If \(\lambda\)v, \(\lambda\)x and \(\lambda\)m represent the wavelengths of visible light, X-rays and microwaves respectively, then

Two charges q1 and q2 are placed 30 cm apart, as shown in the figure. A third charge q3 is moved along the arc of a circle of radius 40 cm from C to D.
The change in the potential energy of the system is $${{{q_3}} \over {4\pi {\varepsil...

As per the diagram a point charge +q is placed at the origin O. Work done in taking another point charge \(-\)Q from the point A [coordinates (0, \(a\))] to another point B

For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is

Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is g and that on the surface of the new planet is g', then

An ideal gas heat engine operates in Carnot cycle between 227oC and 127oC. It absorbs 6 \(\times\) 104 cal of heat at higher temperature. Amount of heat converted to work is

Which of the following processes is reversible?

If the magnetic dipole moment of an atom of diamagnetic material, paramagnetic material and ferromagnetic material are denoted by \(\mu\)d, \(\mu\)p and \(\mu\)f respectively, then

A coil in the shape of an equilateral triangle of side \(l\) is suspended between the pole pieces of a permanent magnet such that \(\overrightarrow B\) is in plane of the coil. If due to a current i in the triangle a torque \(\tau\) acts ...

Two boys are standing at the ends A and B of a ground where AB = a. The boy at B starts running in a direction perpendicular to AB with velocity v1. The boy at A starts running simultaneously with velocity v and catches the other in a t...

If the angle between the vectors \(\overrightarrow A\) and \(\overrightarrow B\) is \(\theta\), the value of the product \(\left( {\overrightarrow B \times \overrightarrow A } \right).\overrightarrow A\) is equal to

If a vector \(2\widehat i + 3\widehat j + 8\widehat k\) is perpendicular to the vector \(4\widehat j - 4\widehat i + \alpha \widehat k,\) then the value of \(\alpha\) is

A stone tied to the end of a string of 1 m long is whirled in a horizontal circle with a constant speed. If the stone makes 22 revoluations in 44 seconds, what is the magnitude and direction of acceleration of the stone ?

The displacement x of a particle varies with time t as x = ae\(-\)at + be\(\beta\)t, where a, b, \(\alpha\) and \(\beta\) are positive constants. The velocity of the particle will

A ball is thrown vertically upward. It has a speed of 10 m/sec when it has reached one half of its maximum height. How high does the ball rise?
(Take g = 10 m/s2.)

A very long straight wire carries a current \(I\). At the instant when a charge +Q at point P has velocity \(\overrightarrow v\), as shown, the force on the charge is

An electron moves in a circular orbit with a uniform speed v. It producess a magnetic field B at the centre of the circle. The radius of the circle is proportional to

The circular motion of a particle with constant speed is

Which of the following rods, (given radius r and length \(l\)) each made of the same material and whose ends are maintained at the same temperature will conduct most heat ?

The moment of inertia of a uniform circular disc of radius R and mass M about an axis passing from the edge of the disc and normal to the disc is

Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular velocity will be in the ratio

A drum of radius R and mass M, rolls down without slipping along an inclined plane of angle \(\theta\). The frictional force

Zener diode is used for

Carbon, silicon and germanium atoms have four valence electrons each. Their valence and conduction bands are separated by energy band gaps represented by (Eg)C, (Eg)si and (Eg)Ge respectively. Which one of the following relationships is tr...

Application of a forward bias to a p-n junction

In a p-n junction photo cell, the value of the photo-electromotive force profuced by monochromatic light is proportional to

Copper has face centered cubic (fcc) lattice with interatomic spacing equal to 2.54 \(\mathop A\limits^ \circ\). The value of lattice constant for this lattice is

Choose the only false statement from the following.

The ratio of the dimensions of Planck's constant and that of moment of inertia is the dimensions of

The angular resolution of a 10 cm diameter telescope at a wavelength of 5000 \(\mathop A\limits^ \circ\) is of the order of

A point source emits sound equally in all directions in a non-absorbing medium. Two points P and Q are at distances of 2 m and 3 m respectively from the source. The ratio of the intensities of the waves at P and Q is

A force F acting

on an object varies with distance x as shown here. The force is in N and x in m. The work done by the force in moving the object from x = 0 to x = 6 m is