If the x-component of a force vector is 2.16 newtons and its y-component is 4.11 newtons, then what is its magnitude? f = newtons

Magnitude of resultant vector will be 4.643 N

Explanation:

We have given x-component of the force vector is given

And y component of the force vector is given

We have to find the magnitude of resultant force F

Resultant force will be equal to vector sum of magnitude of x competent and y component of force vector

So F =

So magnitude of resultant vector will be 4.643 N

b.transmitters send radio waves, and receivers capture radio waves.

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.