15.10 For the travelling harmonic wave

y(x, t) = 2.0 cos 2  (10t – 0.0080 x + 0.35)

where x and y are in cm and t in s. Calculate the phase difference between oscillatory motion of two points separated by a distance of 

(a) 4 m

(b) 0.5 m

(c) λ/2

(d) 3  /4

4 Views|Posted 8 months ago
Asked by Shiksha User
1 Answer
V
8 months ago

The equation for a travelling harmonic wave is given by

y(x, t) = 2.0 cos 2 π (10t – 0.0080 x + 0.35) or

= 2.0 cos (20 π t – 0.016 π x + 0.70 π )

Comparing with classical equation y (x, t) = a sin?(ωt+kx+φ) , we get

Amplitude a = 2.0 cm. Propagation constant, k = 0.016 π , angular frequent, ω=20πrad/s

From the relation φ=kx=2πλx

(a) For x =

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Physics Waves 2021

Physics Waves 2021

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