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Question

The rope shown at an instant is carrying a wave travelling towards right, created by a source vibrating at a frequency n. Choose the correct statement(s).


A
The speed of the wave is 4n×ab
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B
The medium at a will be in the same phase as d after 43n s
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C
The phase difference between b and e is 3π2
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D
The speed of the wave is 2n×ab
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Solution

The correct option is C The phase difference between b and e is 3π2
From the figure
ab=λ4
Speed =nλ
=(n×4ab)
Path difference between b and e is (3λ4)
Phase difference = 2πλ× Path difference
=2πλ×3λ4
=3π2
Path difference between a and d =3λ4
Also, time difference between a and d =Tλ×3λ4=3T4=34n
[T=1n]
Hence A, C are correct.

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