Sound WavesHardBloom L3

Question

If a sound wave is travelling and snap shot at t = 0 is as shown in figure.

Choose snapshot of pressure variation.

(i) (ii) (iii) (iv)

Options

A.For wave travelling towards right or left (i) is correct.
B.For wave travelling towards right graph (iv) and for wave travelling towards left graph (iv) is correct.
C.For wave travelling towards right graph (i) and for wave travelling towards left graph (iii) is correct
D.For wave travelling towards right or left (ii) is correct.

Solution

Sol. ∆ P = $- \frac{B\partial S}{\partial x}$

S = S0 sin(Kx – ωt) or S0 sin (Kx + ωt)

⇒ ∆ P = –S0K cos(Kx – ωt) or –S0 K cos(Kx + ωt)

at t = 0, ∆ P = – S0 K cos Kx (For both directions of travelling)

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