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A tuning fork of frequency 340 Hz is vib...

A tuning fork of frequency 340 Hz is vibrated just above the tube of 120 cm height. Water is poured slowly in the tube. What is the minimum height of water necessary for the resonance? (speed of sound in the air = 340m/s)

A

15 cm

B

25 cm

C

30 cm

D

45 cm

Text Solution

Verified by Experts

The correct Answer is:
A
`lambda=(v)/(upsilon)=(340)/(340)=100cm`
First resonance occurs at `(lambda)/(4)=25cm`
Second resonance occurs at `(3lambda)/(4)=75cm`
Third resonance occurs at `(5lambda)/(4)=125cm`
Not possible
`therefore` Only two resonances occur.
Minimum height of water = `120-75=45cm`
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