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
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Correct Answer: Option 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
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