Question

A string of length L = 2.6 m and mass m = 0.025 kg is fixed between two stationary points, and when the string is plucked, a transverse wave of frequency f = 104 Hz is generated.

(a) What is the string's linear density, rho, in kilograms per meter?
a) 0.004 kg/m
b) 0.008 kg/m
c) 0.01 kg/m
d) 0.02 kg/m

Answer 1

The linear density of the string is 0.0096 kg/m.

Step-by-step explanation:

The linear density of a string can be calculated using the formula:

rho = m / L

Where rho is the linear density, m is the mass of the string, and L is the length of the string.

Given that the length of the string (L) is 2.6 m and the mass (m) is 0.025 kg, we can substitute these values into the formula to calculate the linear density:

rho = 0.025 kg / 2.6 m = 0.0096 kg/m

Therefore, the string's linear density is 0.0096 kg/m.