A wave on a string is travelling and displacement of particles on it is given by x = A, sin, (2t -0.

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14.Waves and Sound

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A wave on a string is travelling and the displacement of particles on it is given by $x = A\, sin\, (2t -0.1\, x)$. Then the wavelength of the wave is

A

$10\pi $

B

$20\pi $

C

$40\pi $

D

$20$

(AIIMS-2009)

Solution

$x=A \sin (2 t-0.1 x)$

also $x=A \sin \left(\frac{2 \pi t}{T}-\frac{2 \pi}{\lambda} x\right)$

$\Rightarrow \frac{2 \pi}{\lambda}=0.1 \Rightarrow \lambda=20 \pi$

Standard 11

Physics

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