Suppose l₁= first resonance length and l₂ being second resonance length. Also, v0 and v27 being velocity at 0Cand27Crespectively.

First resonance length (l1) = 17 cm = 0.17 m
Second resonance length (l2) = 52.6 cm = 0.526 m
Frequency of the tuning fork (f) = 512 Hz

At 27C,

v₂₇ = 2f(l2-l1)

= 2 x 512(0.526-0.17)

= 364.5 m/s

We know vT,

Also, End correction (c) =

The frequency of sound produced in an air column is inversely proportional to the length of the air column. As the level of water in the vessel increases, the lengthof air column above it decreases. Hence, the frequency of sound produced goes on increasing.

Thefrequencyof transverse vibration of astretched stringis calculated as

where;

• T is the tension on the string
• μ is the mass per unit length

When thetensionis halved and theareaof cross section isdoubled, we calculate the frequencyas;

Thus, when thetensionis halved and theareaof cross section isdoubled, thefrequencyincreases by a factor of1.414.