Question

In a sonometer experiment the bridges are separated by a fixed distance. If $T$ is tension in slightly elastic wire, which emits a tone of frequency $n$, then frequency of the tone emitted by the wire when tension is increased to $44\%$, is

• A. $n$
• B. $2n$
• C. slightly greater than $n$
• D. slightly less than $2n$

Answer 1

The correct option is C slightly greater than $n$

Frequency $f\propto \sqrt{T}$
$f_1-f_2=\frac{T+\frac{44}{100}T}{T}=\frac{12}{10}=\frac{6}{5}$
$f_2=\frac{5}{6}f<f$