Q. Two wires made up of same material are of equal lengths but their radii are in the ratio 1:2. On stretching each of these two string by the same tension, the ratio between the fundamental frequencies is
A) 1:2
B) 2:1
C) 1:4
D) 4:1
Explanation
(b) Here $\rho_{1} = \rho_{2};\frac{r_{1}}{r_{2}} = \frac{1}{2},T_{1} = T_{2}$
$n_{1} = \frac{1}{2lr_{1}}\sqrt{\frac{T_{1}}{\pi\rho_{1}}};n_{2} = \frac{1}{2lr_{2}}\sqrt{\frac{T_{2}}{\pi\rho_{2}}}$
$\frac{n_{1}}{n_{2}} = \frac{r_{2}}{r_{1}} = 2$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.