Question

two blocks each having a mass of 3.2 kg are connected by a wire CD and the system is suspended from the ceiling by another wire AB (figure ). The linear mass density of the wire AB is 10 g/m and that of CD is 8 g/m. The speed of a transverse wave produced in AB and in CD are

• A. 80 m/s and 63 m/s
• B. 63 m/s and 79 m/s
• C. 63 m/s in both
• D. 79m/s in both

Answer 1

The correct option is A 80 m/s and 63 m/s

$\begin{array}{c}InAB\\ T=6.4\times 10N\\ =64N\\ v=\sqrt{\frac{64}{10}\times 1000}\\ =80m/s\\ InBC\\ T=32N\\ v=\sqrt{\frac{32}{8}\times 1000}\\ =\sqrt{4000}\\ =63m/s\end{array}$

Hence,

option $\left(A\right)$ is correct answer.