A 25-g string is stretched with a tension of 43 N between two fixed points 12 m apart. What is the frequency of the second harmonic?

The frequency of the second harmonic () is 11.97 Hz.

Explanation:

Given;

mass of the string, m = 25 g = 0.025kg

tension on the string, T = 43 N

length of the string, L = 12 m

The speed of wave on the string is given as;

where;

μ is mass per unit length = 0.025 / 12 = 0.002083 kg/m

The wavelength of the first harmonic wave is given as;

The frequency of the first harmonic is given as;

The wavelength of the second harmonic wave is given as;

The frequency of the second harmonic is given as;

Therefore, the frequency of the second harmonic () is 11.97 Hz.

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.