In an elastic collision between disks A and B of equal mass but u… - Vidyadip

MCQ

In an elastic collision between disks $A$ and $B$ of equal mass but unequal radii, $A$ moves along the $x$ -axis and $B$ is stationary before impact. Which of the following is possible after impact?

A
$A$ comes to rest
B
The velocity of $B$ relative to Aremains the same in magnitude but reverses in direction
C
$A$ and $B$ move with equal speeds, making an angle of $45^o$ each with the $x$ -axis
✓
All of the above

✓

Answer

Correct option: D.

All of the above

d
Option $(A)$

$A$ comes to rest and $B$ moves with the velocity of $B.$

Option$(B):$

$A$ comes to rest and $B$ moves with the velocity of $B.$

Therefore, velocity of $B$ relative to $A$ remains the same in magnitude but reverses in direction which follows from momentum conservation.

Option$(c):$

$m v+0=m v^{\prime} \cos 45^{0}+m v^{\prime} \cos 45^{0}=2 m v^{\prime} \cos 45^{0}=\sqrt{2} m v^{\prime}$

$\Rightarrow v=\sqrt{2} v^{\prime}$ This is possible.

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