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:

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

A is not correct but R is correct.

Both A and B 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.

A is correct but R is not correct.

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

$Conservation of Momentum,$

$Mu + m (0) = M v_{1} + m v_{2}$

$Conservation of energy,$

$\frac{1}{2} M u^{2} = \frac{1}{2} M {v_{1}}^{2} + \frac{1}{2} m {v_{2}}^{2}$

$Applying M>>m,$

$\Rightarrow V_{1} = 2 u$

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE