A tuning fork vibrating at frequency 1350 Hz is held above a long cylindrical pi

Question

A tuning fork vibrating at frequency 1350 Hz is held above a long cylindrical pipe with an open top end. The pipe is partially filled with water up to a slowly rising height h. For some values of the water level h = h1, h2, h3, . . . the air column in the pipe (above the water) resonates to the tuning fork. A student performing this experiment notices equal height differences between successive resonances. If the speed of sound in air 344 m/s, calculate the height difference h. Answer in units of cm.

Explanation / Answer

v = f*lemda

=> lemda = v/f = 344/1350 = 0.2548 m

resonance occurs at lemda/4 , 3*lemda/4 , 5*lemda/4

=> interval between successive resonance is = lemda / 2

=> dh = lemda/2 = 0.127 m

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