Question

A string of mass 100 gm is clamped between two rigid support. A wave of amplitude 2mm is generated in string. If angular frequency of wave is 5000 rad/sec then total energy of the wave in string is

Answer 1

Dear Student,

◆ Answer -

T.E. = 10 J

● Explanation -

# Given -

m = 100 gm = 0.1 kg

w = 5000 rad/s = 5×10^3 rad/s

A = 2 mm = 2×10^-3 m

# Solution -

Total energy of the wave in string is -

T.E. = mw²A²/2

T.E. = 0.1 × (5×10^3)^2 × (2×10^-3)^2

T.E. = 0.1 × 25×10^6 × 4×10^-6

T.E. = 10 J

Hence, total energy of the wave in string is 10 J.

Thanks dear. Hope this is helpful...