List of top Physics Questions on System of Particles & Rotational Motion asked in MET

A disc of mass 5 kg and radius 50 cm rolls on the ground at 10 m/s. Find the kinetic energy.
A small object of uniform density rolls up a curved surface with an initial velocity \( v \). It reaches upto a maximum height of \( \frac{7v^2}{10g} \) with respect to initial position. Then the object is
A satellite goes along an elliptical path around earth. The rate of change of area swept by the line joining earth and the satellite is proportional to :
A uniform thin bar of mass \(6m\) and length \(12L\) is bent to make a regular hexagon. Its moment of inertia about an axis passing through the centre of mass and perpendicular to the plane of hexagon is:
A body is moving with constant velocity parallel to x-axis. Its angular momentum w.r.t. the origin will :
A solid sphere of radius R has moment of inertia \(I\) about its diameter. What will be moment of inertia of a shell of same mass and same radius about its diameter?
A particle of mass m is projected with a velocity v at an angle of \(45^\circ\) with horizontal. When the particle is at its maximum height, the magnitude of its angular momentum about the point of projection is:
A solid sphere of mass \(2\,kg\) rolls on a horizontal surface at \(10\,m/s\) and then rolls up a \(30^\circ\) incline. The maximum height reached is:
A rod of length \(L\) is composed of two equal parts: half wood (mass \(m_w\)) and half brass (mass \(m_b\)). The moment of inertia about an axis through its centre and perpendicular to the rod is:
The separation between C and O-atoms in CO is 1.2 \AA. The distance of carbon atom from the centre of mass is
A diatomic gas is heated at constant pressure. What fraction of the heat energy is used to increase the internal energy?
An electron is moving round the nucleus of a hydrogen atom in a circular orbit of radius r. The Coulomb force F between the two is
Two spheres of equal masses, one of which is a thin spherical shell and the other a solid, have the same moment of inertia about their respective diameters. The ratio of their radii will be
A body weighs \(500\ \text{N}\) on the surface of the earth. How much would it weigh half way below the surface of the earth?
A mass \( M \) is moving with a constant velocity on a line parallel to the \( x \)-axis. Its angular momentum with respect to the origin or \( z \)-axis:
A metre scale is standing vertically on the earth’s surface on one of its end. It now falls on earth without slipping. Find the velocity with which the free end of the scale strikes the earth. (\( g = 10 \, \text{m/s}^2 \))
In an explosion, a body breaks into pieces of unequal masses. In this case:
The orbital angular momentum of a satellite revolving at a distance \( r \) from the center is \( L \). If the distance is increased to \( 16r \), then the new angular momentum will be:
Among the following, the compound that contains ionic, covalent and coordinate linkage is
The working of a rocket is based on the principle of: