Question

Transverse waves are generated in two uniform steel wires A and B by attaching their free end to vibrating source of frequency 500 Hz. The diameter of wire A is half that of wire B and the tension in wire A is half that in wire B. What is ratio of the velocity of waves in wires A and B?

• A. $\sqrt{2}$: 1
• B. 1 : $\sqrt{2}$
• C. 2 : 1
• D. 1 : 2

Answer 1

Answer: (A)

$\sqrt{2}$: 1

Answer 2

r_A = $\frac{r_{B}}{2}$, T_A = $\frac{T_{B}}{2}$ & n = $\sqrt{\frac{T}{m'}}$