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4-1.Newton's Laws of Motion
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Two billiard balls of equal mass $30 \,{g}$ strike a rigid wall with same speed of $108\, {kmph}$ (as shown) but at different angles. If the balls get reflected with the same speed then the ratio of the magnitude of impulses imparted to ball $'a'$ and ball $'b'$ by the wall along $'X'$ direction is :
A
$1: 1$
B
$\sqrt{2}: 1$
C
$1: \sqrt{2}$
D
$2: 1$
(JEE MAIN-2021)
Solution
Ball (a) $|\overrightarrow{\Delta p }|=2 mu = J _{1}$
Ball (b) $|\overrightarrow{\Delta p }|=2 mu \cos 45^{\circ}= J _{2}$
$\frac{J_{1}}{J_{2}}=\frac{1}{\cos 45^{\circ}}=\sqrt{2}$
Standard 11
Physics
