AIEEE 2004

Two long conductors, separated by a distance \(d\) carry current \({I_1}\) and \({I_2}\) in the same direction. They exert a force \(F\) on each other. Now the current in one of them is increased to two times and its direction is reversed. ...

A current \(i\) ampere flows along an infinitely long straight thin walled tube, then the magnetic induction at any point inside the tube is

The magnetic field due to a current carrying circular loop of radius \(3\) \(cm\) at a point on the axis at a distance of \(4\) \(cm\) from the centre is \(54\,\mu T.\) What will be its value at the center of loop?

A long wire carries a steady current. It is bent into a circle of one turn and the magnetic field at the centre of the coil is \(B.\) It is then bent into a circular loop of \(n\) turns. The magnetic field at the center of the coil will be

A projectile can have the same range 'R' for two angles of projection. If T1 and T2 be the time
of flights in the two cases, then the product of the two time of flights is directly proportional to

A ball is thrown from a point with a speed ν0 at an angle of projection θ. From the same point
and at the same instant person starts running with a constant speed \({{{v_0}} \over 2}\) to catch the ball.
Will the person be able to catch the...

A ball is released from the top of a tower of height h meters. It takes T seconds to reach the
ground. What is the position of the ball in \({T \over 3}\) seconds?

An automobile travelling with speed of 60 km/h, can brake to stop within a distance of 20 m.
If the car is going twice as fast, i.e 120 km/h, the stopping distance will be

Spherical balls of radius \(R\) are falling in a viscous fluid of viscosity \(\eta\) with a velocity \(v.\) The retarding viscous force acting on the spherical ball is

If two soap bubbles of different radii are connected by a tube

A wire fixed at the upper end stretches by length \(l\) by applying a force \(F.\) The work done in stretching is

A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same which on of the following will not be affected ?

One solid sphere \(A\) and another hollow sphere \(B\) are of same mass and same outer radii. Their moment of inertia about their diameters are respectively \({I_A}\) and \({I_B}\) such that

The total energy of particle, executing simple harmonic motion is

The bob of a simple pendulum executes simple harmonic motion in water with a period \(t,\) while the period of oscillation of the bob is \({t_0}\) in air. Neglecting frictional force of water and given that the density of the bob is $$\left...

A particle of mass \(m\) is attached to a spring (of spring constant \(k\)) and has a natural angular frequency \({\omega _0}.\) An external force \(F(t)\) proportional to \(\cos \,\omega t\left( {\omega \ne {\omega _0}} \right)\) is appli...

In forced oscillation of a particle the amplitude is maximum for a frequency \({\omega _1}\) of the force while the energy is maximum for a frequency \({\omega _2}\) of the force; then

A particle at the end of a spring executes \(S.H.M\) with a period \({t_1}\). While the corresponding period for another spring is \({t_2}\). If the period of oscillation with the two springs in series is \(T\) then

Which one of the following represents the correct dimensions of the coefficient of viscosity?

If \(\overrightarrow A \times \overrightarrow B = \overrightarrow B \times \overrightarrow A\), then the angle beetween A and B is

The angle of incidence at which reflected light is totally polarized for reflection from air to glass (refractive index \(n\)) is :

The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young's double-slit experiment, is :

The displacement \(y\) of a particle in a medium can be expressed as, \(y = {10^{ - 6}}\,\sin\) \(\left( {100t + 20x + {\pi \over 4}} \right)\) \(m\) where \(t\) is in second and \(x\) in meter. The speed of the wave is

A force \(\overrightarrow F = \left( {5\overrightarrow i + 3\overrightarrow j + 2\overrightarrow k } \right)N\) is applied over a particle which displaces it from its origin to the point $$\overrightarrow r = \left( {2\overrightarrow i ...

A uniform chain of length \(2\) \(m\) is kept on a table such that a length of \(60\) \(cm\) hangs freely from the edge of the table. The total mass of the chain is \(4\) \(kg.\) What is the work done in pulling the entire chain on the tab...

A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle, the motion of the particles takes place in a plane. It follows that

A body of mass \(' m ',\) acceleration uniformly from rest to \('{v_1}'\) in time \({T}\). The instantaneous power delivered to the body as a function of time is given by

A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement \(x\) is proportional to