A tuning fork of frequency 480 Hz resonates with a tube closed at one end of length, 16 cm and diameter 5 cm in fundamental mode. Calculate velocity of sound (in m s⁻¹) in air.
Physics · Wave Motion
JEE Mains Practice

Question

A tuning fork of frequency 480 Hz resonates with a tube closed at one end of length, 16 cm and diameter 5 cm in fundamental mode. Calculate velocity of sound (in m s⁻¹) in air.

G1 Physics · Accepted Answer

Step 1: For a closed pipe fundamental, effective length L+e=λ/4, with end correction e≈0.3d=1.5 cm. Step 2: λ=4(16+1.5)=70 cm=0.70 m. Step 3: v=fλ=480×0.70=336 m s⁻¹.