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2022

Physics

POST UTME

A plane progressive wave is represented by the equation: y = 2 sin (400 1 - 0.3x). What is the frequency of the wave?

A.

50Hz

B.

100Hz

C.

200Hz

D.

80Hz

Correct Answer:

200Hz

Explanation

given: y = 2 sin (400π\pi t - 0.3x)

we recall the general equation of a progressive wave

y = Asin(ω\omega t - ϕ\phi x)

ω\omega = 2π\pi ft - 2πxλ\frac{2πx}{\lambda}

by comparison

400π\pi = 2π\pi f

f = 4002\frac {400}{2} = 200Hz

given: y = 2 sin (400π\pi t - 0.3x)

we recall the general equation of a progressive wave

y = Asin(ω\omega t - ϕ\phi x)

ω\omega = 2π\pi ft - 2πxλ\frac{2πx}{\lambda}

by comparison

400π\pi = 2π\pi f

f = 4002\frac {400}{2} = 200Hz

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