Q.

According to Kepler's third law of planetary motion, what is the relationship between 'r' (radius of orbit) and 'T' (period of revolution)?

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a

r³ / T² is constant

b

r² / T is constant

c

r / T² is constant

d

r² / T² is constant

answer is A.

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Detailed Solution

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According to Kepler's third law of planetary motion, the square of the period of revolution (T) of a planet is directly proportional to the cube of the radius of its orbit (r). 

This can be expressed as: 

T2r3 r3T2 is constant.

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According to Kepler's third law of planetary motion, what is the relationship between 'r' (radius of orbit) and 'T' (period of revolution)?