A string of mass 3 g and length 1 m can carry a wave of 20 mW power.The amplitude of the wave is 3.25 mm.What is the period of oscillation if the tension applied to the string is 42 N?
A)78 ms
B)40 ms
C)68 ms
D)73 ms
E)61 ms

Question

Quizplus · Accepted Answer

The wave speed v can be calculated using the formula v = sqrt(T/μ), where T is the tension (42 N) and μ is the linear mass density (mass/length = 3 g/m = 0.003 kg/m). The power P is given by P = (1/2) * μ * v * ω^2 * A^2, where ω is the angular frequency and A is the amplitude (3.25 mm = 0.00325 m). Solving for ω and using ω = 2π/T, we find the period T to be approximately 61 ms.

A String of Mass 3 G and Length 1 M