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Question

Physics Question on simple harmonic motion

A resonance air column of length 40cm40\,cm resonates with a tuning fork of frequency 450Hz450 \,Hz. Ignoring end correction, the velocity of sound in air will be :

A

1020 m/s

B

920 m/s

C

820 m/s

D

720 m/s

Answer

720 m/s

Explanation

Solution

Here : Length of column =40cm=0.4m=40\, cm =0.4\, m
Frequency of tuning fork =450Hz=450\, Hz
Using the formula n=v4ln=\frac{v}{4 l}
or v=450×4×0.4v=450 \times 4 \times 0.4
=720m/s=720\, m / s