Physics, 26.05.2020 02:04 rodriguezzamyy

A student stands several meters in front of a smooth reflecting wall, holding a board on which a wire is fixed at each end. the wire, vibrating in its third harmonic, is 75.0cm long, has a mass of 2.25g, and is under a tension of 400 N. a second student, moving towards the wall, hears 8.30 beats per second. what is the speed of the student approaching the wall? (solve without calculus)

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Answer from: savage2015mj

Explanation:

From the question we are told that

The length of the wire is $L = 75.0cm = \frac{75}{100} = 0.75 \ m$

The mass of the wire is $m = 2.25 \ g = \frac{2.25}{1000} = 0.00225 \ kg$

The tension is $T = 400 \ N$

The frequency of the beat heard by the second student is

$f_b = 8.30\ beat/second$

The speed of the wave generated by the vibration of the wire is mathematically represented as

$v = \sqrt{\frac{TL}{m}}$

substituting values

$v = \sqrt{\frac{400 *0.75}{0.00225}}$

v = 365.15 m/s

The wire is vibrating in its third harmonics so the wavelength is

$\lambda = \frac{2L}{3}$

substituting values

$\lambda = \frac{2*0.75}{3}$

$\lambda = 0.5 \ m$

The frequency of this vibration is mathematically represented as

$f = \frac{v}{\lambda }$

substituting values

$f = \frac{365.15}{0.5 }$

f = 730.3 Hz

The speed of the second student (Observer) is mathematically represented as

$v_o = [\frac{f_b}{2f} ] * v$

substituting values

$v_o = [\frac{8.30}{2* 730.3} ] * 365.15$

$v_o = 2.08 \ m/s$

Answer from: Quest

Is there a picture to go along with this

Answer from: Quest

scattering of light by tiny particles in air to produce the colors we see on sky, is dependent on the following factors:

(i) wavelength of light

(ii) size of the scattering particle

(iii) distance traveled by light through the atmosphere.

according to rayleigh's law of scattering, the amount of scattering is inversely proportional to the fourth power of its wavelength. shorter the wavelength, greater is its scattering. hence violet/blue light is scattered more than red.

sun's light is a composite light ( visible light) with wavelengths in the range 400 nm (violet) to 700 nm (red). as sunlight passes through our atmosphere, the molecules of air scatter light according to their wavelengths. during sunrise and sunset, the sun's position is below the horizon. hence light from the sun travels a greater distance in the atmosphere when compared to its position a noon.

as sunlight enters the earth's atmosphere, blue light is scattered away and at the end of its journey in the sky, only red and orange wavelengths remain in the beam.

hence at sunrise and sunset, the sky appears reddish orange.

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