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Question

Choose the correct option for the given assertion and reason.

Assertion : When a wave travels from a denser medium to rarer medium, its amplitude of oscillation increases.

Reason : In denser medium, speed of wave is less compared to that in rarer medium.

A
Assertion and Reason both are true and the Reason is correct explanation of the Assertion.
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B
Assertion and Reason both are true, but Reason is not the correct explantion of Assertion.
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C
Assertion is true, but Reason is false
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D
Assertion is false, but Reason is true.
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Solution

The correct option is A Assertion and Reason both are true and the Reason is correct explanation of the Assertion.
Velocity of a wave on a string is given as (v)=Tμ
where T Tension in the string
μ Linear density of the medium.

i.e v1μ .......(1)

Let the linear density of the denser medium be μ1 and of the rarer medium be μ2.
From (1), we can conclude that, v1<v2
v1 velocity of wave in denser medium
v2 velocity of wave in rarer medium

Now, if amplitude of the transmitted wave is At,
At=(2v2v1+v2)Ai
v1<v2v1+v2<2v2
so, At>Ai

Hence option (a) is the correct answer.

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