The equation of a longitudinal wave is given by y = 10 sin(50t+5022x) (in S.l. units). Find the value of x at which change in pressure is maximum at t = 0.

At t = 0, y = 10 sin 2π(50 x22)Change in pressure will be maximum at y = 0y = 0 at (2π)(50 x)22 = 0, π, 2π, 3π,.... 100xπ = (3π)(22)or x = 0.66 m

The equation of a longitudinal wave is given by y = 10 sin(50t+5022x) (in S.l. units). Find the value of x at which change in pressure is maximum at t = 0.

At t = 0, y = 10 sin 2π(50 x22)Change in pressure will be maximum at y = 0y = 0 at (2π)(50 x)22 = 0, π, 2π, 3π,.... 100xπ = (3π)(22)or x = 0.66 m

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The equation of a longitudinal wave is given by $y = 10 \sin (50 t + \frac{50}{22} x)$ (in S.l. units). Find the value of x at which change in pressure is maximum at t = 0.

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0.17 m

0.36 m

0.66 m

0.89 m

answer is C.

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Detailed Solution

At t = 0, $y = 10 \sin 2 π (\frac{50 x}{22})$
Change in pressure will be maximum at y = 0
$y = 0 a t \frac{(2 π) (50 x)}{22} = 0, π, 2 π, 3 π, . . . . 100 xπ$

= $(3 π) (22)$

or x = 0.66 m

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The equation of a longitudinal wave is given by y = 10 sin(50t+5022x) (in S.l. units). Find the value of x at which change in pressure is maximum at t = 0.

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The equation of a longitudinal wave is given by $y = 10 \sin (50 t + \frac{50}{22} x)$ (in S.l. units). Find the value of x at which change in pressure is maximum at t = 0.