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Radhika Batra Grade: 11
        A 200 Hz wave with amplitude 1 mm travels on a long string of linear mass density 6 g m-1 kept under a tension of 60 N. (a) Find the average power transmitted across a given point on the string. (b) Find the total energy associated with the wave in a 2.0 m long portion of the string.
3 years ago

Answers : (1)

Jitender Pal
askIITians Faculty
365 Points
										Sol. . A = 1 mm = 10–3 m, m = 6 g/m = 6 * 10–3 kg/m

T = 60 N, f = 200 Hz
∴ V = √T /m = 100 m/s
a) Paverage = 2π2 mv A2f2 = 0.47 W
b) Length of the string is 2 m. So, t = 2/100 = 0.02 sec.
Energy = 2π2 mvf2A2t = 9.46 mJ.
3 years ago
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