Hey Student,

If it becomes 3 times then-

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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.

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Answer

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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.