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Q.

Small amplitude progressive wave in a stretched string has a speed of 100 cm/s, and frequency 100 Hz. The phase difference between two points 2.75 cm apart on the string, in radians, is

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a

0

b

11 π/2

c

π/4

d

3π/8

answer is B.

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Detailed Solution

v = 1 m/s, v = 100 Hzλ=vv=1100m=1cm ∆ϕ=2πλ×2.75 rad=5.5πrad=11π2rad
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Small amplitude progressive wave in a stretched string has a speed of 100 cm/s, and frequency 100 Hz. The phase difference between two points 2.75 cm apart on the string, in radians, is