Q.
Two Cu wires of radii $R_{1}\ and\ R_{2}$such that $\left( R_{1} > R_{2} \right).$ Then which of the following is true?
A) Transverse wave travels after in thicker wire
B) Transverse wave travels faster in thinner wire
C) Travels with the same speed in both the wires
D) Does not travel
Explanation
(b) The velocity of a transverse wave
$v = \sqrt{\frac{T}{\rho A}}\ $
$v \propto \frac{1}{\sqrt{A}}$
Or
$v \propto \frac{1}{R}$
Because the velocity of wire depend on the radius. So transverse wave travels faster in thinner wire.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.