A frictionless wire is fixed on a sphere of radius . A very small spherical ball slips on this wire. The time taken by this ball to slip from to is

In figure, one car at rest and velocity of the light from head light is , then velocity of light from head light for the moving car at velocity , would be

A body starts from rest and moves with uniform acceleration. Which of the following graphs represent its motion

If the velocity of a particle moving along a straight line decreases linearly with its displacement from 20 to a value approaching zero m, then acceleration of the particle at m is

The graph of displacement time is Its corresponding velocity-time graph will be

The displacement-time graph of moving particle is shown below The instantaneous velocity of the particle is negative at the point

A body begins to walk eastward along a street in front of his house and the graph of his position from home is shown in the following figure. His average speed for the whole time interval is equal to

In a , H is the orthocentre and D is the mid point of Segment HD is produced to T such that HD=DT. Then the ratio equals to ;

Hence 2:1 is the correct option

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One quarter sector is cat from a uniform circular disc of radius R. This sector has mass M. It is made to rotate about a line perpendicular to its plane and passing through the center of the original disc. Its moment of inertia about the axis of rotation is...

In ΔABC , 4Rcos  cos  cos  =

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