An ant is travelling in a uniform circular motion with a speed of 11 m/s. If the radius of the circle is 21 m, find the time taken to cover half a round.

time taken t = 6.00 seconds

the time taken to cover half a round is 6.00 seconds

Explanation:

Given;

Speed of ant v = 11 m/s

radius of Circle r = 21 m

Circumference of a circle

c = 2πr

Half a turn d = c/2 = 2πr/2 = πr

Time taken to cover distance d( half a turn);

time = distance/speed = d/v = πr/v

Substituting the values;

time =(π×21)/11 = 5.997585975035 seconds

time taken t = 6.00 seconds

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.