A) Zero
B) \[\frac{\pi }{30\sqrt{2}}\,\,cm/\sec \]
C) \[\frac{\pi }{30}\,\,cm/\sec \]
D) \[\frac{\pi \sqrt{2}}{30}\,\,cm/\sec \]
Correct Answer: D
Solution :
\[\Delta v=2v\sin \left( \frac{90{}^\circ }{2} \right)=2v\sin 45{}^\circ \]\[=2v\times \frac{1}{\sqrt{2}}=\sqrt{2}v\] \[=\sqrt{2}\times r\omega =\sqrt{2}\times 1\times \frac{2\pi }{60}=\frac{\sqrt{2}\pi }{\grave{\ }30}\ cm/s\]
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