A) 5
B) \[5\sqrt{2}\]
C) \[5\sqrt{3}\]
D) \[10\sqrt{2}\]
Correct Answer: C
Solution :
It is given \[{{\nu }_{\max }}=100\,\,cm/\sec ,\,\,a=10\,\,cm\] \[\Rightarrow \,\,\,\,{{\nu }_{\max }}=a\omega \,\,\,\,\,\,\Rightarrow \,\,\,\,\omega =\frac{100}{10}=10\,rad/\sec \] \[\nu =\omega \sqrt{{{a}^{2}}-{{y}^{2}}}\,\,\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,\,\,50=10\sqrt{{{(10)}^{2}}-{{y}^{2}}}\] \[\Rightarrow \,\,\,\,\,y=5\sqrt{3}\,cm\]
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