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Question

Assertion :A thin metal rod is just held between two rigid supports without producing any strain on it. The temperature of the rod subsequently increases by a few degrees. As a result the velocity of the transverse waves along the rod increases. The velocity of the longitudinal waves also increases. Reason: The velocity of the transverse waves depends upon the tension whereas the velocity of the longitudinal waves depends upon Young's modulus and density of the material.

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Both Assertion and Reason are incorrect
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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
As the temperature increases, the tension as well as Yong's mudulus increases. That is why speed of transverse as well as longitudinal wave increases with temperature.

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