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Question

A progressive wave is represented by y = 12 sin (5t - 4x) cm. On this wave, how far away are the two points having phase difference of 90o?

A
π2cm
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B
π4cm
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C
π8cm
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D
π16cm
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Solution

The correct option is C π8cm
Given equation for the wave is y=12sin(5t4x)

Phase is given by 5t4x. At a given instant, let two points x1 and x2 differ in phase by 90o=π/2.
(5t4x1)(5t4x2)=π/2
4|x2x1|=π/2

Thus, distance between the two points is π/8 cm

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