A cylindrical tube, open at both ends, has a fundamental frequency y. The tube is dipped vertically in water so that half of its length is inside the water. The new fundamental frequency is

Question

Philoid · Accepted Answer

When a tube of length L open at both ends has a fundamental frequency ν, the

where V is the velocity of the sound wave. When this tube is half dipped in water, the length of the air column becomes L/2 and it becomes a tube closed at one end. In such closed pipe the frequency of the fundamental mode

Here

, so

Hence the option C is correct.