You have a string with a mass of 0.0127 kg. you stretch the string with a force of 9.33 n, giving it a length of 1.93 m. then, you vibrate the string transversely at precisely the frequency that corresponds to its fourth normal mode; that is, at its fourth harmonic. what is the wavelength of the standing wave you create in the string? what is the frequency?

a. wavelength = m
b. frequency = hz

wavelength = 0.968 m

frequency = 39.02 Hz

Explanation:

given data

mass = 0.0127 kg

force = 9.33 N

length = 1.93 m

to find out

wavelength and Frequency

solution

we know here linear density that is

linear density =   .........1

linear density =

linear density = 6.5803 × kg/m

so

wavelength will be here

wavelength =   ..............2

here n = 4 for forth harmonic

wavelength =

wavelength = 0.968 m

and

frequency will be for 4th normal mode of vibration is

frequency =    ..........3

frequency =

frequency = 1.036269 × 37.654594

frequency = 39.02 Hz