A 2.0 g string, 0.67 m long, is under tension. The string produces a 700 Hz tone when it vibrates in the third harmonic. The speed of sound in air is 344 m/s. The wavelength of the tone in air, in SI units, is closest to .
0.57
0.55
0.61
0.49
0.45

0.49

Explanation:

The fundamental frequency in string is expressed as Fo = V/2L where;

Fo is the fundamental frequency

V is the speed of sound in air

L is the length of the string

Since harmonics are integral multiples of the fundamental frequency, the first harmonic F1 = 2fo, second harmonic F2 = 3fo and third harmonics f3 = 4fo

Since the string produces a 700 Hz tone when it vibrates in the third harmonic, this means that F3 = 700Hz

From F3 = 4fo... 1

Substituting Fo = V/2L in equation 1, this will give;

F3 = 4(V/2L)

F3 = 4V/2L

Also note that the length of the string in terms of wavelength in the third harmonics is L = 2¶ where ¶ is the wavelength.

F3 = 4V/2(2¶)

F3 = 4V/4¶

F3 = V/¶

¶ = V/F3

Given V = 344m/s and F3 = 700Hz

¶ = 344/700

¶ = 0.49

The wavelength of the tone in air is closest to 0.49

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their mass and volume are dep

the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force