A ball of mass $10\, kg$ moving with a velocity $10 \sqrt{3}\, ms ^{-1}$ along $X-$axis, hits another ball of mass $20\, kg$ which is at rest. After collision, the first ball comes to rest and the second one disintegrates into two equal pieces. One of the pieces starts moving along $Y-$ axis at a speed of $10\, m / s$. The second piece starts moving at a speed of $20\, m / s$ at an angle $\theta$ (degree) with respect to the $X-$axis. The configuration of pieces after collision is shown in the figure. The value of $\theta$ to the nearest integer is
A ball of mass $10\, kg$ moving with a velocity $10 \sqrt{3}\, ms ^{-1}$ along $X-$axis, hits another ball of mass $20\, kg$ which is at rest. After collision, the first ball comes to rest and the second one disintegrates into two equal pieces. One of the pieces starts moving along $Y-$ axis at a speed of $10\, m / s$. The second piece starts moving at a speed of $20\, m / s$ at an angle $\theta$ (degree) with respect to the $X-$axis. The configuration of pieces after collision is shown in the figure. The value of $\theta$ to the nearest integer is
- [JEE MAIN 2021]
- A
$60$
- B
$30$
- C
$45$
- D
$90$
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