Question

If the distance between Earth and the sun were doubled what would be the force of gravity between them​

Answer 1

Correct option is B)
Given,
Radius of rotation become double, a
2
​
=2a
1
​

By Kepler’s law, T
2
αa
3

a
1
3
​

T
1
2
​

​
=
a
2
3
​

T
2
2
​

​

T
2
2
​
=(
a
1
​

a
2
​

​
)
3
×T
1
2
​

T
2
2
​
=(
1
2
​
)
3
×T
1
2
​

T
2
2
​
=8×T
1
2
​

T
2
2
​
=
8
​
×365 days
T
2
​
=1032.37 days
Hence, 1032 days in year.