The given diagram shows three light pieces of paper placed on a w… - Vidyadip

MCQ

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
$3x$
✓
$4x$
D
$8x$

✓

Answer

Correct option: C.

$4x$

c
Middle one paper does not fall.

Hence there must be a node.

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

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