Question

A uniform string of length 2m and mass 200 gram is under a tension of 800N. The speed of transverse wave in the string is

Answer 1

Explanation:

where you have tension T

mass dm

length dl

put the vaues and get your answer

Answer 2

The speed of the transverse wave in the string is 89.44 m/s.

Given: A uniform string of length 2 m and mass 200 gram is under a tension of 800 N.

To Find: The speed of the transverse wave in the string.

Solution:

• We know that the speed of a transverse wave in a string can be calculated using the formula,

              V = √( T / µ )                                                             .....(1)

Where V = velocity if transverse wave, T = tension in the string, µ = mass per unit length.

• The mass per unit length of a string is calculated by the formula,

              µ = m / l                                                                     .....(2)

Where m = mass of the string, l = length of the string.

Coming to the numerical, we have,

The length of the string = 2 m

The mass of the string = 200 g = 0.2 kg

The tension in the string = 800 N

So, putting respective values in (2), we get;

              µ = m / l  

         ⇒  µ = 0.2 / 2

         ⇒  µ = 0.1 kg/m

Now, putting the values in (1), we get;

              V = √( T / µ )  

          ⇒ V = √( 800 / 0.1 )

          ⇒ V = √( 8000 )

          ⇒ V =  89.44 m/s

Hence, the speed of the transverse wave in the string is 89.44 m/s.

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