Q. Frequency of a sonometer wire is $n.$ Now its tension is increased 4 times and its length is doubled then new frequency will be
A) $n/2$
B) $4n$
C) $2n$
D) $n$
Explanation
(d) $n \propto \frac{1}{l}\sqrt{T} \Rightarrow \frac{n^{'}}{n} = \sqrt{\frac{T^{'}}{T}} \times \frac{l}{l^{'}} = \sqrt{4} \times \frac{1}{2} = 1 \Rightarrow n^{'} = n$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.