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Question

Figure shows a string of linear mass density 1.0 g/cm on which a wave pulse is travelling.


Find the time taken by the pulse in travelling through a distance of 50 cm on the string. Take g=10 m/s2


Your Answer
A
0.04 s
Your Answer
B
0.03 s
Correct Answer
C
0.05 s
Your Answer
D
0.08s

Solution

The correct option is C 0.05 s
Applying equilbrium condition for 1 kg block along vertical direction,
T=mg=10 N
The tension in the string is 10 N.
The mass per unit length of string is,
μ=1 g/cm=0.1 kg/m.
Therefore the wave velocity is,
v=Tμ=100.1=10 m/s
The time taken by the pulse in travelling through distance d=50 cm=0.5 m,
t=dv=0.510=0.05 s.

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