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A 100 Hz sinusoidal wave is travelling in the positive x–direction along a string with a linear mass density of $3.5 × 10 – 3 k g m – 1$ and a tension of 35 N. At time $t = 0,$ the point $x = 0$ has zero displacement and the slope of the string is $π / 20$ . Then select the wrong alternative:

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Velocity of wave is 100 m/s

Angular velocity is

200 π

rad/s

Amplitude of wave is 0.025 m

Wave length of the wave is 2 m.

answer is D.

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Detailed Solution

v = T μ = 35 3.5 × 10 − 3 = 100 m / s

;
b)

λ = v f = 1 m

; and

2 π λ = ω v

c) At Zero displacement, velocity is maximum. Hence,

A ω = − (slope) V

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