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Q.

A rod is clamped at both of its ends and stationary longitudinal waves are produced in it. In first experiment, the rod has a total of 4 nodes with amplitude of each anti-node to be 1mm. In other experiment, the rod has a total of 6 nodes with amplitude of each anti node to be 2mm. The energy of vibrations in the rod in two cases in E1 and E2 respectively. If the value of E1E2 is x/100,The value of  x is _______ 

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answer is 9.

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Detailed Solution

Energyin1loop12dm[Asin(kx)ω]2           =λA2ω28(M/L)           Ratio=35×35×14

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