A transverse wave is applied to a string whose mass per unit length is 3 x 10-2kgm-1. If the string is under a tension 12N, the speed of the propagation of the wave is
A
5 ms-1
B
20 ms-1
C
30 ms-1
D
40 ms-1
Verified Correct Answer: B.
Physical Principles & Numerical Solution
For transverse wave on string
velocity V = \(\sqrt{\frac{T}{M}}\)
where T is the tension, and M is the mass per unit length
∴ for T = 12N and M = 3.0 x 10\(^{-2}\)kgm\(^{-1}\)
V = \(\sqrt{\frac{12}{3.0 \times10^{-2}}}\)
V = \(\sqrt{\frac{1200}{3}}\) = \(\sqrt{400}\)
∴ V = 20m/s
Source: Myschool Past Questions Archive (Record #11707)