Question

If the distance between the Earth and the Sun becomes 4 times then that time period became ______ times
a) 4
b) 8
c) 2
d) 5
EXPLAIN

Answer 1

i am not sure but i think 8

Answer 2

Answer:

The correct answer of this question is 8.

Explanation:

Given - The distance between the Earth and the Sun becomes 4 times then that time period became ______ times.

To Find - Choose the correct option.

The distance between the Earth and the Sun becomes 4 times then that time period became 8 times.

Let the distance between the earth and the sun be  R.

Thus the distance between the planet and the sun = R′ =4R

Time is taken by earth to orbit the sun T  = 1 earth year

Now, using Kepler's 3rd law,  

$T^{2} \alpha R^{3}$

$\frac{T'}{T} = (\frac{R'}{R})^{1.5}$

$\frac{T'}{1} = (\frac{4R}{R})^{1.5} = 4^{1.5}$

So, T' $8$ Earth years.

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