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Physics · LAWS OF MOTION
हिन्दीTwo identical billiard balls of mass \( m \) collide with a rigid wall at the same speed \( v \). Ball A strikes the wall normally and rebounds with the same speed. Ball B strikes the wall at an angle of \( 45^\circ \) to the normal and reflects elastically at the same angle with unchanged speed. What is the ratio of the magnitude of impulse imparted by the wall to ball A to that imparted to ball B?
Correct answer · Option 4
\( \sqrt{2} \)
Explanation
Impulse on Ball A: \( I_A = 2mv \cos 0^\circ = 2mv \). Impulse on Ball B: \( I_B = 2mv \cos 45^\circ = \sqrt{2}mv \). Ratio \( \frac{I_A}{I_B} = \frac{2mv}{\sqrt{2}mv} = \sqrt{2} \).
