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  • A ball of mass 10 kg moving with a velocity along X-axis, hits another ball of mass 20 kg which is at rest. After collision, the first ball comes to rest and

A ball of mass 10 kg moving with a velocity 10\sqrt{3}m\; s^{-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 _______.
Option: 1 30
Option: 2 60
Option: 3 90
Option: 4 120

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best_answer

Before collision

After collision

\begin{aligned} &\text { Apply conservation of momentum along } \mathrm{x} \text { axis; }\\ &i. e \ \overrightarrow{\mathrm{P}}_{\mathrm{i}}=\overrightarrow{\mathrm{P}}_{\mathrm{f}}\\ &10 \times 10 \sqrt{3}=200 \cos \theta\\ &\cos \theta=\frac{\sqrt{3}}{2}\\ &\theta=30^{\circ} \end{aligned}

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