A 2.00-m long piano wire with a mass per unit length of 12.0 g/m is under a tension of 8.00 kN. What is the frequency of the fundamental mode?
A)204 Hz
B)102 Hz
C)408 Hz
D)510 Hz
E)153 Hz

Question

Quizplus · Accepted Answer

The fundamental frequency of a string is given by:f = (1/2L) * sqrt(T/m)where L is the length of the string, T is the tension, and m is the mass per unit length.Plugging in the given values, we get:f = (1/2 * 2.00 m) * sqrt(8.00 kN / 0.012 kg/m)= 204 HzTherefore, the correct answer is A.

A 200-M Long Piano Wire with a Mass Per Unit Length