A string of mass 0.2 Kg is under a tension of 2.5 N . The length of the string is 2 m . A transverse wave…
A string of mass 0.2 Kg is under a tension of 2.5 N . The length of the string is 2 m . A transverse wave starts from one end of the string. The time taken by the wave to reach the other end is
$\quad 0.2 \mathrm{~s}$
0.4 s
0.6 s
0.8 s
Solution
$\therefore \quad$ Mass per unit length:
$\begin{aligned}
& \mathrm{m}=\frac{\mathrm{M}}{l} \\
& \mathrm{~m}=\frac{0.2}{2}=0.1 \mathrm{~kg} / \mathrm{m}
\end{aligned}$
$\therefore \quad$ Velocity of transverse wave:
$\begin{aligned}
& v=\sqrt{\frac{T}{m}} \\
& v=\sqrt{\frac{2.5}{0.1}}=5 \mathrm{~m} / \mathrm{s}
\end{aligned}$ Time taken by the wave to reach other end is:
$\mathrm{t}=\frac{l}{\mathrm{v}}=\frac{2}{5}=0.4 \mathrm{~s}$