G A slab of uniform positive electric charge extends infinitely in the yz plane. The charge density is given by (xx, yy, zz) = 0 , − 1 < xx < 1 0, ℎ which is constant between -1 cm and 1 cm in the x direction and zero for all other values of x. a. Sketch the problem and the approximate electric field lines based on the symmetry. b. If the electric field in the x direction outside the slab is xx(xx > 1 ) = 5000 /, find the charge density 0 inside the slab. c. Find the electric field xx(xx) inside the slab. d. Find the electrostatic potential everywhere, given that V(0,0,0)=0 at the origin. Hint: if the electric field is only in the x direction, does V change when we vary y and z while keeping x constant? The line integral simplifies a lot here.

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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