Given diagram shows three light pieces of paper placed on a wire that is stretched over two supports

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14.Waves and Sound

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The given diagram shows three light pieces of paper placed on a wire that is stretched over two supports, $Q$ and $R$ , a distance $4x$ apart. When the wire is made to vibrate at a particular frequency, all the pieces of paper, except the middle one, fall off the wire. Which of the following could be the wavelength of the vibration?

A

$2x$

B

$3x$

C

$4x$

D

$8x$

Solution

Middle one paper does not fall.

Hence there must be a node.

$4 x=2 \times \frac{\lambda}{2} \Rightarrow \lambda=4 x$

Standard 11

Physics

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