Assertion :A wire is stretched and then fixed at two ends. It oscillates in its second overtone mode. There are total four nodes and three anitinodes. Reason: In second overtone mode, length of wire should be $l = \frac{3 λ}{2}$ , where $λ$ is wavelength.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
When the mode of vibration is second overtone (third harmonic).
There are two crests and one trough (or vice versa). Hence there are 3 antinodes and 4 nodes.
The wavelength is given by the relation.
$l = \frac{3 λ}{2}$ .
Hence both assertion and reason are valid, but reason is not the correct explanation.
Option B is correct.

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