Answer

Verified

35.1k+ views

**Hint:**The momentum of a body is given by the product of mass and velocity. If a body changes its direction of motion then the velocity changes its sign, for example if the velocity is positive it gets negative and vice-versa.

**Complete step by step answer:**

It is given that two bodies R and S are colliding and the collision is head on and elastic, no information is given about the masses of body R and S.

We will consider each statement one by one and then get to the solution. Let us consider the first statement.

Statement 1:-R and S moved in the same direction after collision,

The statement says that the velocities of R and S are in the same direction, let us check if the statement is correct or not. In the graph after the elastic collision the velocities of both the masses are in the positive direction of the graph which means that the velocities of both the masses are in the same direction after collision.

Statement 2:- The velocities of R and S were equal at the mid time of the collision.

At the mid-time of collision the velocity-time curve of the two masses R and S intersect which means that at mid-time of collision the velocities of R and S are equal.

Statement 3:- The mass of R was greater than mass of S.

As after the collision the velocity of mass R is less than the mass of velocity S, and according to the principle of conservation of momentum, the momentum is conserved before and after the collision. So, if velocity is decreased then mass of R must be greater than mass of S, because momentum is given by $p = m \cdot v$.

So, all the three statements are correct and therefore, the correct answer is option D.

**Note:**Students should not get confuse in the third statement about which body has more mass the principle of conservation of momentum says, that the momentum of a body is conserved before and after collision, as the velocity of mass R is decreased therefore, the in order to conserve the momentum the mass of body R should be greater than the mass of body S.

Recently Updated Pages

To get a maximum current in an external resistance class 1 physics JEE_Main

f a body travels with constant acceleration which of class 1 physics JEE_Main

A hollow sphere of mass M and radius R is rotating class 1 physics JEE_Main

If the beams of electrons and protons move parallel class 1 physics JEE_Main

Two radioactive nuclei P and Q in a given sample decay class 1 physics JEE_Main

If a wire of resistance R is stretched to double of class 12 physics JEE_Main

Other Pages

Oxidation state of S in H2S2O8 is A 6 B 7 C +8 D 0 class 12 chemistry JEE_Main

1mol of ferric oxalate is oxidized by x mol of MnO4in class 11 chemistry JEE_Main

The correct IUPAC name of the given compound is A isopropylbenzene class 11 chemistry JEE_Main

The mole fraction of the solute in a 1 molal aqueous class 11 chemistry JEE_Main

Which of the following sets of displacements might class 11 physics JEE_Main

If a wire of resistance R is stretched to double of class 12 physics JEE_Main