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A transverse wave is applied to a string whose mass per unit length is 3 x 10-2k...


Question

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

Options

A) 5 ms-1

B) 20 ms-1

C) 30 ms-1

D) 40 ms-1


The correct answer is 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

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Dicussion (1)

  • 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