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
Correct Answer: B
Explanation
For transverse wave on string velocity V = √T/M where T is the tension, and M is the mass per unit length ∴ for T = 12N and M = 3.0 x 10-2kgm-1V= √ 12 / (3.0x10-2 = √ 12 / 0.03 = √ 1200 / 3 = √ 1200 / 3 = 20 ∴V = 20m/s