Question 321: Waves

Question

A string of mass 0.2 Kg is under a tension of 2.5 N . The length of the string is 2 m. A transverse wave starts from one end of the string. The time taken by the wave to reach the other end is

Accepted Answer

To find the time it takes for a transverse wave to travel from one end of the string to the other, we begin by calculating the mass per unit length of the string.
Mass per Unit Length
The mass per unit length $ m $ is given by:
$ m = \frac{M}{l} = \frac{0.2 \, 	ext{kg}}{2 \, 	ext{m}} = 0.1 \, 	ext{kg/m} $
Velocity of the Transverse Wave
The velocity $ v $ of a transverse wave on a string is determined using the formula:
$ v = \sqrt{\frac{T}{m}} $
Substitute the given values for tension $ T = 2.5 \, 	ext{N} $ and mass per unit length $ m = 0.1 \, 	ext{kg/m} $:
$ v = \sqrt{\frac{2.5}{0.1}} = \sqrt{25} = 5 \, 	ext{m/s} $
Time Taken for the Wave to Travel the String's Length
The time $ t $ taken by the wave to travel the length of the string is calculated by:
$ t = \frac{l}{v} = \frac{2 \, 	ext{m}}{5 \, 	ext{m/s}} = 0.4 \, 	ext{s} $
Therefore, the time taken by the wave to reach the other end of the string is 0.4 seconds.

Answer

0.2 s

Answer

0.4 s

Answer

0.6 s

Answer

0.8 s

Waves

A string of mass 0.2 Kg is under a tension of 2.5 N . The length of the string is 2 m. A transverse wave starts from one end of the string. The time taken by the wave to reach the other end is

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