AIPMT 2007

A block B is pushed momentarily along a horizontaly surface with an initial velocity V. If  \(\mu\)  is the coefficient of sliding friction between B and the surface, block B will come to rest after a time

Nickel shows ferromagnetic property at room temperature. If the temperature is increased beyond Curie temperature, then it will show

A charged particle (charge q) is moving in a circle of radius R with uniform speed v. The associated magnetic moment \(\mu\) is given by

\(\overrightarrow A\) and \(\overrightarrow B\) are two vectors and \(\theta\) is the angle between them, if $$\left| {\overrightarrow A \times \overrightarrow B } \right| = \sqrt 3 \left( {\overrightarrow A .\overrightarrow B } \right...

A particle starting from the origin (0, 0) moves in a straight line in the (x, y) planes. Its coordinates at a later time are \(\left( {\sqrt 3 ,3} \right)\). The path of the particle makes with the x-axes an angle of

The positions x of a particle with respect to time t along x-axis is given by x = 9t2 \(-\) t3 where x is in metres and t in seconds. What will be the position of this particle when it achieves maximum speed along the + x direction ?

A particle moving along x-axis has acceleration f, at time t, given by f = f0\(\left( {1 - {t \over T}} \right),\) where f0 and T are constants.The particle at t = 0 has zero velocity. In the time interval between t = 0 and the instant when...

A car moves from X to Y with a uniform speed vu and returns to Y with a uniform speed vd. The average speed for this round trip is

Under the influence of a uniform magnetic field, a charged particle moves with constant speed v in a circle of radius R. The time period of rotation of the particle

The resistance of an ammeter is 13 \(\Omega\) and its scale is graduated for a current upto 100 amps. After an additional shunt has been connected to this ammeter it becomes possible to measure currents upto 750 amperes by this meter. The ...

A mass of 2.0 kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring and the pan is negligible.
When pressed slightly and released the mass executes a simple harmonic motion...

The particle executing simple harmonic motion has a kinetic energy K0cos2\(\omega\)t. The maximum values of the potential energy and the total energy are respectively

A particle executes simple harmonic oscillation with an amplitude \(a\). The period of oscillation is T. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is

The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is

Assuming the sun to have a spherical outer surface of radius r, radiating like a black body at temperature toC, the power received by a unit surface, (normal to the incident rays) at a distance R from the centre of the sun is
where $$\sigm...

A black body is at 727oC. It emits energy at a rate which is proportional to

A wheel has angular acceleration of 3.0 rad/sec2 and an initial angular speed of 2.00 rad/sec. In a time of 2 sec it has rotated through an angle (in radian) of

A particle of mass m moves in the XY plane with a velocity v along the straight line AB. If the angular momentum of the particle with respect to origin O is LA when it is at A and LB when it is at B, then

A uniform rod AB of length \(l\) and mass m is free to rotate about point A. The rod is released from rest in the horizontal position. Given that the moment of inertia of the rod about A is ml2/3, the initial angular acceleration of the rod...

In the energy band diagram of a material shown below, the open circles and filled circles denote holes and electrons respectively. The material is

Which one of the following represents forward bias diode ?

In the following circuit, the output Y for all possible inputs A and B is expressed by the truth table.

For a cubic crystal structure which one of the following relations indicating the cell characteristics is correct ?

Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I, would be

The frequency of a light wave in a material is 2 \(\times\) 1014 Hz and wavelength is 5000 \(\mathop A\limits^ \circ\). The refractive index of material will be

A vertical spring with force constant k is fixed on a table. A ball of mass m at a height h above the free upper end of the spring falls vertically on the spring so that the spring is compressed by a distance d. The net work done in the p...