Question

Does the mass per unit length of a string affect the wavelength of the first possible standing wave?

a. Yes, increasing mass per unit length decreases the wavelength.
b. Yes, increasing mass per unit length increases the wavelength.
c. No, mass per unit length has no effect on the wavelength.
d. The relationship between mass per unit length and wavelength cannot be determined from the given data.

Answer 1

The mass per unit length (linear density) of a string affects the wave properties on the string. An increase in mass per unit length decreases the wave speed and thus the wavelength of standing waves on the string. Frequency and wavelength are inversely related across the electromagnetic spectrum.

Step-by-step explanation:

The wavelength of the first possible standing wave on a string does not depend on the mass per unit length (linear mass density) of the string. Instead, it depends on the length of the string and the speed of propagation of the wave. The formula for calculating the wavelength is given by:

Wavelength = 2L/n

where L is the length of the string and n is the mode number of the standing wave. Therefore, the correct answer is c.