JEE Main 2022 · 29 Jun · Shift 2 · Physics Q53

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PhysicsInteger+4 / -1Question 53 of 90

In an experiment to determine the velocity of sound in air at room temperature using a resonance tube, the first resonance is observed when the air column has a length of 20.0 cm for a tuning fork of frequency 400 Hz is used. The velocity of the sound at room temperature is 336 ms $^{-1}$ . The third resonance is observed when the air column has a length of ______ cm

Your answer

Answer and worked solution

Official answer: 104

Wavelength $\frac{336}{400}=84$ cm. First resonance $\frac\lambda4-e=20$ gives $e=1$ cm.

Third resonance. $\frac{5\lambda}4-e=105-1=104$ cm.

Answer: 104

Topics:Speed of sound by resonance tube Organ pipes and resonance

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JEE Main 2022 · 29 Jun · Shift 2, Physics question 53