A 129 turn circular coil of radius 2.85 cm is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. Over an interval of 0.153 s , the magnetic field strength increases from 53.7 mT to 93.3 mT . Find the magnitude of the average emf E avg induced in the coil during this time interval, in millivolts.

85.24 mV

Explanation:

From Faraday's law of induction,

Emf induced = - NA (dB/dt)

Average emf induced = NA (ΔB/Δt)

N = number of turns = 129

A = Area of the loop = πr² = π(0.0285)² = 0.002553 m²

ΔB = 93.3 - 53.7 = 39.6 mT = 0.0396 T

Δt = 0.153 s

E = (129)(0.002553)(0.0396)/(0.153)

E = 0.08524 V = 85.24 mV

b.

explanation:

10.0

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.