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Wave Length

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Question

A transverse travelling wave is given by y=0.05Sin2pi(0.4x-5t) where x and y are in meters ant t in seconds. Find frequency and wavelength

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Solution

Dear student
$C o m p a r i n g w i t h s \tan d a r d e q n y = A \sin (k x - ω t) ω = 2 π \times 5 2 π f = 2 π \times 5 f = 5 H z a n d k = 0.8 π \frac{2 π}{λ} = 0.8 π λ = 2.5 m$

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