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Question

Question: The distance of a planet from the sun is 5 times the distance between the earth and the sun. The Tim...

The distance of a planet from the sun is 5 times the distance between the earth and the sun. The Time period of the planet is

A

53/25 ^ { 3 / 2 } years

B

52/35 ^ { 2 / 3 } years

C

51/35 ^ { 1 / 3 } years

D

51/25 ^ { 1 / 2 } years

Answer

53/25 ^ { 3 / 2 } years

Explanation

Solution

According to Kepler’s law TR3/2T \propto R ^ { 3 / 2 }

\therefore =5(3/2)×1= 5 ^ { ( 3 / 2 ) } \times 1 year =53/2= 5 ^ { 3 / 2 } years.