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Q.

The rope shown at an instant is carrying a wave travelling towards right, created by a source vibrating at a frequency n. Consider the following statementsI. The speed of the wave is 4n×abII. The medium at a will be in the same phase as d after  43n sIII. The phase difference between b and e is 3π2Which of these statements are correct

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a

I, II and III

b

II only

c

I and III

d

III only

answer is C.

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Detailed Solution

Speed = nλ=n(4ab)=4n×ab     As ab=λ4Path difference between b and e is 3λ4So the phase difference = 2πλ. Path difference                                       =  2πλ.3λ4=3π2
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The rope shown at an instant is carrying a wave travelling towards right, created by a source vibrating at a frequency n. Consider the following statementsI. The speed of the wave is 4n×abII. The medium at a will be in the same phase as d after  43n sIII. The phase difference between b and e is 3π2Which of these statements are correct