A ball of mass $10\, kg$ moving with a velocity $10 \sqrt{3} m / s$ along the $x-$axis, hits another ball of mass $20\, kg$ which is at rest. After the collision, first ball comes to rest while the second ball disintegrates into two equal pieces. One piece starts moving along $y-$axis with a speed of $10$ $m / s$. The second piece starts moving at an angle of $30^{\circ}$ with respect to the $x-$axis. The velocity of the ball moving at $30^{\circ}$ with $x-$ axis is $x\, m / s$. The configuration of pieces after collision is shown in the figure below. The value of $x$ to the nearest integer is
A ball of mass $10\, kg$ moving with a velocity $10 \sqrt{3} m / s$ along the $x-$axis, hits another ball of mass $20\, kg$ which is at rest. After the collision, first ball comes to rest while the second ball disintegrates into two equal pieces. One piece starts moving along $y-$axis with a speed of $10$ $m / s$. The second piece starts moving at an angle of $30^{\circ}$ with respect to the $x-$axis. The velocity of the ball moving at $30^{\circ}$ with $x-$ axis is $x\, m / s$. The configuration of pieces after collision is shown in the figure below. The value of $x$ to the nearest integer is
- [JEE MAIN 2021]
- A
$15$
- B
$24$
- C
$20$
- D
$30$
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