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

Question

A progressive wave is represented by y = 12 sin ⁡ ( 5 t - 4 x ) cm . On this wave, how far away are the two points having a phase difference of 90 ° ?, π 2 c m, π 4 c m, π 8 c m, π 16 c m

MARKS App · Accepted Answer

y = 12 sin ( 5 t - 4 x ) Comparing in y = A sin ⁡ w t - k x We have A = 12 , w = 5 a n d k = 4 w t - k x = phase difference = π 2 ∴ | 5 t − 4 x | = π 2 When t = 0 , 4 x = π 2 ∴ x = π 8 c m

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