What would be the average duration of year if the distance between the Sun and the Earth becomes (A) thrice the present distance. (B) twice the present distance.
Hey Student,
If it becomes 3 times then-
open sidebar
Home
>
English
>
Class 11
>
Physics
>
Chapter
>
Gravitation
>
What would be the average dura...
What would be the average duration of year if the distance between the Sun and the Earth becomes thrice the present distance.
check-circle
Answer
Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.
check-circle
Text Solution
Open Answer in App
Solution
Let r1 = Present distance between the Earth and Sun
T = 365 days.
Ifr2=3r1 to find T2=?
According to Kepler’s law of period
T21∝r31and T22∝r32
T22T21=r32r31
∴T2T1=(r2r1)3/2
=(3r1r1)3/2
∴T2T1=27−−√
T2=T2×27−−√
=365×27−−√
= 1897 days
If 2 times then-
If the distacne between the earth and the sun gets doubled then what would be the duration of the year. T2=365×2√2=730√2 days.
All the best student,
Hope this helps you.
Related Questions
Trending Articles/News
