In two separate collisions, the coefficient of restitutions  and  are in the ratio 3:1.In the first collision the relative velocity of approach is twice the relative velocity of separation ,then the ratio between relative velocity of approach and the relative velocity of separation in the second collision is

Suppose  for. If g(x) is the function whose graph is the reflection of the graph of f(x) with respect to the line y = x, then g(x) equals–

A spotlight installed in the ground shines on a wall. A woman stands between the light and the wall casting a shadow on the wall. How are the rate at which she walks away from the light and rate at which her shadow grows related ?

If reaction is R and coefficient of friction is, what is work done against friction in moving a body by distance d?

The force acting on a particle moving in a straight line is shown in figure. What is the work done by the force on the particle in the 1^st meter of the trajectory

The pointer reading load graph for a spring balance is as given in the figure. The spring constant is

The force acting on a body moving along -axis varies with the position of the particle as shown in the fig

The body is in stable equilibrium at

A frictionless track ends in a circular loop of radius . A body slides down the track from point which is it height . Maximum value of for the body to successfully complete the loop is

Velocity-time graph of a particle of mass 2 kg moving in a straight line is as shown in figure. Work done by all forces on the particle is

Domain of definition of the function, is

If represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively(as shown)in the gravitational field of a point mass m. Find the correct relation between

Given below is a graph between a variable force (along -axis) and the displacement (along -axis) of a particle in one dimension. The work done by the force in the displacement interval between and is

A particle of mass moving with a velocity makes an elastic one dimensional collision with a stationary particle of mass establishing a contact with it for extremely small time . Their force of contact increases from zero to linearly in time , remains constant for a further time and decreases linearly from to zero in further time as shown. The magnitude possessed by is

Let be a set containing 10 distinct elements, then the total number of distinct functions from to is-

The domain is defined as the set which is to input in a function. We say that input values satisfy a function. The range is defined as the actual output supposed to be obtained by entering the domain of the function.
Co-domain is defined as the values that are present in the right set that is set Y, possible values expected to come out after entering domain values.

The number of bijective functions from set A to itself when a contains 106 elements-

The work done by a force acting on a body is as shown in the graph. The total work done in covering an initial distance of is