1.

A transverse sinusoidal wave of amplitude a, wavelength l and frequency n is travelling on a stretched string. The maximum speed of any point on the string is v/10, where v is the speed of propagation of the wave. If \[a={{10}^{-3}}\,m\] and \[v=10\,m{{s}^{-1}}\], then l and n are given by     [IIT 1998]

A.            \[\lambda =2\pi \times {{10}^{-2}}\,m\]                      
B.            \[\lambda ={{10}^{-3}}\,m\]
C.            \[n=\frac{{{10}^{3}}}{2\pi }Hz\]                                       
D.            \[n={{10}^{4}}\,Hz\]
Answer» B.            \[\lambda ={{10}^{-3}}\,m\]


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