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Q.

If the frequency of a wave is increased by 25%, then the change in its wavelength will be: (medium not changed)

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a

20% increase

b

20% decrease

c

25% increase

d

25% decrease

answer is B.

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Detailed Solution

Since, the medium has not changed, speed of wave remains same.⇒v = fλ = constantf1λ1 = f2λ2⇒ f1λ1 = (1.25f1)λ2    (∵ frequency increased by 25%)λ2 = λ11.25  ⇒λ2 decreases.% change in wavelength = λ1-λ2λ1×100λ1-λ11.25λ1×100 = 0.251.25×100 = 1005 = 20%
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