A) \[2{{\lambda }_{0}}\]
B) \[\sqrt{2}{{\lambda }_{0}}\]
C) \[\frac{{{\lambda }_{0}}}{\sqrt{2}}\]
D) \[{{\lambda }_{0}}\]
Correct Answer: B
Solution :
[b] Speed of pulse at a distance x from bottom, \[v=\sqrt{gx}.\] While traveling from mid-point to the top, frequency remains unchanged. \[\frac{{{v}_{1}}}{{{\lambda }_{1}}}=\frac{{{v}_{2}}}{{{\lambda }_{2}}}\] \[\Rightarrow \]\[\frac{\sqrt{g\,\,(L\,\,/\,\,2)}}{{{\lambda }_{0}}}=\frac{\sqrt{gL}}{{{\lambda }_{2}}}\] \[\Rightarrow \]\[{{\lambda }_{2}}=\sqrt{2}{{\lambda }_{0}}\]You need to login to perform this action.
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