Question

A long spring whose one end is rigidly fixed is stretched from the other end and then left . longitudinal waves of frequency 10 hz produced . if velocity of the wave is 25m/s , find the distance between two consecutive compression in the spring .

Answer 1

The distance between two consecutive compression in the spring is 2.5 meters.

Explanation:

Given that,

A long spring whose one end is rigidly fixed is stretched from the other end and then left. Longitudinal waves of frequency 10 Hz produced .

Velocity of the wave, v = 25 m/s

To find,

The distance between two consecutive compression in the spring i.e. wavelength.

Solution,

The distance between two consecutive compression in the spring is called its wavelength. The speed of wave is given by :

$v=f\lambda$

$\lambda=\dfrac{v}{f}$

$\lambda=\dfrac{25\ m/s}{10\ Hz}$

$\lambda=2.5\ m$

So, the distance between two consecutive compression in the spring is 2.5 meters. Hence, this is the required solution.

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Longitudinal wave

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