Q.

Assertion: In a standing wave x=0  is a node. Then, total mechanical energy lying between x=0 and x=λ8   is not equal to the energy lying between and x=λ8  and x=λ4  
Reason: In standing waves different particles oscillate with different amplitudes.

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a

Both Assertion and Reason are correct, and Reason explain Assertion

b

Assertion correct and Reason incorrect 

c

Assertion incorrect and Reason correct.

d

Both Assertion and Reason are correct, and Reason does not explains Assertion

answer is A.

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Detailed Solution

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Energy lying between λ8 and λ4 will be more. 

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Assertion: In a standing wave x=0   is a node. Then, total mechanical energy lying between x=0  and x=λ8   is not equal to the energy lying between and x=λ8  and x=λ4  Reason: In standing waves different particles oscillate with different amplitudes.