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qUESTIONS

MCQs-PYQs-12th-jee

Point masses m1and m2 are placed at the opposite ends of a rigid rod of length L, and negligible mass. The rod is to be set rotating about an axis perpendicular to it. The position of point P on this rod through which the axis should pass so that the work required to set the rod rotating with angular velocity ω0 is minimum, is given by :

MCQs-PYQs-12th-jee

A solid sphere is rotating freely about its symmetry axis in free space . The radius of the sphere is increased keeping its mass same . Which of the following physical quantities would remain constant for the sphere ?

MCQs-PYQs-12th-jee

From a disc of radius R and mass M , a circular hole of diameter R , whose rim passes through the centre is cut . What is the moment of inertia of the remaining part of the disc about a perpendicular axis , passing through the centre ?

MCQs-PYQs-12th-jee

Three idential spherical shells each of mass m and radius r are placed as shown in Fig. Consider an axis XX’ which is touching the two shells and passing through diameter of third shell. Moment of Inertia of the system consisting of these three spherical shells about XX’ as axis is :

MCQs-PYQs-12th-jee

A rope is wound around a hollow cylinder of mass 3kg and radius 40cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30N ?

MCQs-PYQs-12th-jee

Two spherical bodies of masses m and 5m and radii R and 2R respectively, are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, the distance covered by smaller sphere just before collision is

MCQs-PYQs-12th-jee

A solid sphere rolls down two different inclined planes of same height, but of different inclinations. In both cases

MCQs-PYQs-12th-jee

A sphere rolls down on an inclied plane of inclination θ. What is the acceleration as the sphere reaches bottom ?

MCQs-PYQs-12th-jee

A ball rests upon a flat piece of paper on a table top. The paper is pulled horizontally but quickly towards right as shwon. Relative to its initial position with respect to the table, the ball

MCQs-PYQs-12th-jee

A solid sphere of mass I kg, radius 10 cm rolls down an inclined plane of height 7 m. The velocity of its centre as it reaches the ground level is

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