Question

A sonometer wire vibrating in $4$ segments is in unison with the tuning fork. Keeping the same length, if the tension made $4$ times, the tuning fork can still be in resonance with the wire, provided the wire now vibrates in

• A. $4$ segments
• B. $6$ segments
• C. $3$ segments
• D. $2$ segments

Answer 1

The correct option is D $2$ segments

By making tension $4$ times, frequency is doubled as $f\propto \sqrt{T}$
But, frequency $\propto \frac{1}{noofloops}$
$\therefore$ No of loops are to be halved.
$\therefore$ No of loops is $2$.