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A transverse wave is applied to a string whose mass per unit length is 3…

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: 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 / (3.0×10-2 
=
 12 / 0.03 
=
 1200 / 3 
=
 1200 / 3 = 20

∴V = 20m/s