Two identical beads are attached to free ends of two identical springs of spring constant Initially both springs make an angle of at the fixed point N. Normal length of each spring is 2R. Where R is the radius of smooth ring over which bead is sliding. Ring is placed on vertical plane and beads are at symmetry with respect to vertical line as diameter. Normal reaction on one of the bead at initial moment due to ring is

If sec4A = cosec(A – ) where 4A is an acute angle, find the value of A

right angled a

The reaction,  Is called

Statement - I One end of ideal massless spring is connected to fixed vertical wall and other end to a block of mass m initially at rest on smooth horizontal surface. The spring is initially in natural length. Now a horizontal force F acts on block as shown. Then the maximum extension in spring is equal to maximum compression in spring.

Statement - II To compress or to expand an ideal unstretched spring by equal amount, same work is to done on spring.

A hollow vertical cylinder of radius r and height h has a smooth internal surface. A small particle is placed in contact with the inner side of the upper rim, at point A, and given a horizontal speed u, tangential to the rim. It leaves the lower rim at point B, vertically below A. If n is an integer, then–

A machine, in an amusement park, consists of a cage of the end of one arm, hinged at O. The cage revolves along a vertical circle of radius r (ABCDEFGH) about its hinge O, at constant linear speed v= . The cage is so attached that the man of weight 'W' standing on a weighing machine, inside the cage, is always vertical. Then which of the following is correct

Acceleration versus time graph of a particle moving in a straight line is as shown in adjoining figure. If initially particle was at rest then corresponding kinetic energy versus time graph will be:

Volt/meter is the unit of

From methyl alcohol we get:

Which of the following is oxidised by

Calculate the median from the following data:

Find the mean of the following distribution

Mean = 55

Phenol, when it first reacts with concentrated sulphuric acid and then with concentrated nitric acid, gives

In C.G.S. system the magnitude of the force is 100 dyne. In another system where fundamental physical quantities are kilogram, and minute, the magnitude of the force is

Which is the correct unit for measuring nuclear radii