Question

If the tension of sonometer's wire increases four times then the fundamental frequency of the wire will increase by

[RPMT 1999]

• A. 2 times
• B. 4 times
• C. 1/2 times
• D. None of the above

Answer 1

The correct option is A

2 times

$n\propto \sqrt{T}$
$\Rightarrow \frac{n_1}{\sqrt{T_1}}=\frac{n_2}{\sqrt{T_2}}{n}_2=n_1\sqrt{\frac{T_2}{T_1}}{n}_2=2n_1$