AIEEE 2002

One end of a mass-less rope, which passes over a mass-less and friction-less pulley \(P\) is tied to a hook \(C\) while the other end is free. Maximum tension that the rope can bear is \(360\) \(N.\) With what value of maximum safe accelera...

Wires \(1\) and \(2\) carrying currents \(i{}_1\) and \(i{}_2\) respectively are inclined at an angle \(\theta\) to each other. What is the force on a small element \(dl\) of wire \(2\) at a distance of \(r\) from wire \(1\) (as shown in f...

If in a circular coil \(A\) of radius \(R,\) current \(I\) is flowing and in another coil \(B\) of radius \(2R\) a current \(2I\) is flowing, then the ratio of the magnetic fields \({B_A}\) and \({B_B}\), produced by them will be

If a current is passed through a spring then the spring will

The time period of a charged particle undergoing a circular motion in a uniform magnetic field is independent of its

If an electron and a proton having same momentum enter perpendicular to a magnetic field, then

From a building two balls A and B are thrown such that A is thrown upwards and B downwards ( both vertically with the same speed ). If vA and vB are their respective velocities on reaching the ground, then

Speeds of two identical cars are \(u\) and \(4\)\(u\) at the specific instant. The ratio of the respective distances in which the two cars are stopped from that instant is :

A cylinder of height \(20\) \(m\) is completely filled with water. The velocity of efflux of water (in \(m{s^{ - 1}}\)) through a small hole on the side wall of the cylinder near its bottom is

Initial angular velocity of a circular disc of mass \(M\) is \({\omega _1}.\) Then two small spheres of mass \(m\) are attached gently to diametrically opposite points on the edge of the disc. What is the final angular velocity of the disc...

Moment of inertia of a circular wire of mass \(M\) and radius \(R\) about its diameter is

A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)

A particle of mass \(m\) moves along line PC with velocity \(v\) as shown. What is the angular momentum of the particle about P?

In a simple harmonic oscillator, at the mean position

A child swinging on a swing in sitting position, stands up, then the time period of the swing will

If a spring has time period \(T,\) and is cut into \(n\) equal parts, then the time period of each part will be

Identify the pair whose dimensions are equal

A wave \(y=a\) \(\sin \left( {\omega t - kx} \right)\) on a string meets with another wave producing a node at \(x=0.\) Then the equation of the unknown wave is

Tube \(A\) has bolt ends open while tube \(B\) has one end closed, otherwise they are identical. The ratio of fundamental frequency of tube \(A\) and \(B\) is

When temperature increases, the frequency of a tuning fork

length of a string tied to two rigid supports is \(40\) \(cm\). Maximum length (wavelength in \(cm\)) of a stationary wave produced on it is

A tuning fork arrangement (pair) produces \(4\) beats/sec with one fork of frequency \(288\) \(cps.\) A little wax is placed on the unknown fork and it then produces \(2\) beats/sec. The frequency of the unknown fork is

If a body looses half of its velocity on penetrating \(3\) \(cm\) in a wooden block, then how much will it penetrate more before coming to rest?

A ball whose kinetic energy E, is projected at an angle of \(45^\circ\) to the horizontal. The kinetic energy of the ball at the highest point of its height will be

A spring of force constant \(800\) \(N/m\) has an extension of \(5\) \(cm.\) The work done in extending it from \(5\) \(cm\) to \(15\) \(cm\) is