Wave Mechanics Question 648

Question: In the sonometer experiment, a tuning fork of frequency 256 Hz is in resonance with 0.4 m length of the wire when the iron load attached to free end of wire is 2 kg. If the load is immersed in water, the length of the wire in resonance would be (specific gravity of iron = 8) 4

Options:

A) 0.37 m

B) 0.43 m

C) 0.31 m

D) 0.2 m

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ \sqrt{T/l}=constant $ ; Tension decreases by a factor (8 -1) / 8, length decreases by square root of this i.e. 0.77.