JEE MAIN - Physics (2021 - 26th February Morning Shift - No. 16)

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : Body 'P' having mass M moving with speed 'u' has head-on collision elastically with another body 'Q' having mass 'm' initially at rest. If m << M, body 'Q' will have a maximum speed equal to '2u' after collision.

Reason R : During elastic collision, the momentum and kinetic energy are both conserved.

In the light of the above statements, choose the most appropriate answer from the options given below :
A is correct but R is not correct.
A is not correct but R is correct.
Both A and R are correct and R is the correct explanation of A.
Both A and R are correct but R is NOT the correct explanation of A.

Explanation

JEE Main 2021 (Online) 26th February Morning Shift Physics - Center of Mass and Collision Question 60 English Explanation

m < < M

e = $${{{v_2} - {v_1}} \over {{u_1} - {u_2}}}$$

For elastic collision $$ \to $$ e = 1

1 = $${{{v_2} - u} \over {u - 0}}$$

u = v2 $$-$$ u

v2 = 2u

In elastic collision kinetic energy & momentum are conserved.

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