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A string of length 40 cm and weighing 10 g is attached to a spring at one end and to a fixed wall at the other end. The spring has a spring constant of 160 N/m and is stretched by 1.0 cm. If a wave pulse is produced on the string near the wall, the time it will take to reach the spring is x. The value of x (in second) is

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answer is 0.05.

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Detailed Solution

The tension in the string F=kx=160×0.01=1.6N The mass per unit length of the string μ=10×10−30.40=0.025kg/m The speed of transverse wave v=Fμ=1.60.025=8m/s The time taken by wave pulse to reach the spring t=0.408=0.05s

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A string of length 40 cm and weighing 10 g is attached to a spring at one end and to a fixed wall at the other end. The spring has a spring constant of 160 N/m and is stretched by 1.0 cm. If a wave pulse is produced on the string near the wall, the time it will take to reach the spring is x. The value of x (in second) is