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A wave travelling in the +ve x-direction having displacement along y-direction as 1m, wavelength 2π and frequency 1 /π Hz is represented by
Options
(a) y = sin ( 2 πx – 2 πt )
(b) y = sin ( 10 πx – 20 πt )
(c) y = sin ( 2 πx + 2 πt )
(d) y = sin ( x – 2t )
Correct Answer:
y = sin ( x – 2t )
Explanation:
As Y = A sin (ωt – kx + ɸ)
ω = 2πf = 2π / π = 2 [f = 1/ π]
k = 2π / λ = 2π / 2π = 1 [ λ = 2π]
Therefore,
Y = 1 sin (2t – x + ɸ) [A = 1 m]
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Topics: Waves
(80)
Subject: Physics
(2479)
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