A) \[4\upsilon \]
B) \[2\upsilon \]
C) \[\frac{\sqrt{3}}{2}\upsilon \]
D) \[\frac{\sqrt{3}}{4}\upsilon \]
Correct Answer: C
Solution :
Velocity in mean position\[\upsilon =a\omega ,\] velocity at a distance of half amplitude, \[\upsilon =\omega \sqrt{{{a}^{2}}-{{y}^{2}}}\] \[=\omega \sqrt{{{a}^{2}}-\frac{{{a}^{2}}}{4}}=\sqrt{\frac{3}{2}}a\omega =\sqrt{\frac{3}{2}}\upsilon \]
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