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

A
0.04 s
B
0.03 s
C
0.05 s
D
0.08s

Solution

The correct option is C 0.05 sApplying 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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