Q.
A wave equation which gives the displacement along the direction Y is given by the equation y = 104 sin(60t + 2x), where x and y are in metres and t is time in seconds. This represents a wave
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a
Travelling with a velocity of 30 m/sec in the negative X direction
b
Of wavelength 2π metre
c
Of frequercy 60π Hz
d
Of amplitude 104 metre travelling along the positive X direction
answer is A.
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Detailed Solution
On comparing the given equation with y = a sin(ωt + kx), it is clear that wave is travelling in negative x-direction. Its amplitude a = 104 m and ω = 60, k = 2.. Hence frequency n = ω2π = 602π = 30πHzk = 2πλ = 2 ⇒ λ = π m and v = ωk = 602 = 30 m/s
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