A uniform rope of mass $0.1 \mathrm{~kg}$ and length $2.45 \mathrm{~m}$ hangs from a rigid support. The time…
A uniform rope of mass $0.1 \mathrm{~kg}$ and length $2.45 \mathrm{~m}$ hangs from a rigid support. The time taken by the transverse wave formed in the rope to travel through the full length of the rope is (Assume $g=9.8 \mathrm{~m} / \mathrm{s}^2$ )
$0.5 \mathrm{~s}$
$1.6 \mathrm{~s}$
$1.2 \mathrm{~s}$
$1.0 \mathrm{~s}$
Solution
The time taken by the transverse wave
$t=2 \sqrt{\frac{l}{g}}=2 \sqrt{\frac{2.45}{9.8}}=1 \mathrm{~s}$