What occurs when the velocity of earth is doubled? a. the orbit of earth around the sun becomes smaller b. the orbit of earth does not change c. the earth escapes the sun d. the orbit becomes more elliptical

When the Earth's velocity doubles, then a. orbit of earth around sun becomes smaller.

The velocity of the earth is given by the formula:

Where,

G is Gravitational constant

m is Mass of Earth

r is Radius of Earth around the sun

Velocity is a term which is used to define a fast moving object's speed in a particular direction.

When the velocity is doubled,

If velocity is doubled, then the only thing that could possibly change is the radius of orbit.

Radius of the earth's orbit decreases with increase in velocity of earth.

If the velocity is doubled, the orbit becomes four times smaller. Thus,

a. The orbit of Earth around the Sun becomes smaller.

Explanation:

Now, it in the given question it is stated that what will happen when earth's velocity gets doubled. Therefore, their will be no change in quantities like mass of sun and earth.

Now, we know that orbital velocity of earth around sun is given by,

Where G is gravitational constant and is the mass of sun and

R is radius of orbit of earth around sun.

Now, let the velocity get doubled and let it be .

Then, .

Here, r is radius of orbit of earth around sun when earth velocity gets doubled.

Now, .

After all calculations we get, .

Therefore, The orbit of Earth around the Sun becomes smaller.

Hence, a. is correct.

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.