Question

answer the question in the attachment pls

Dont spam ok !!​

Answer 1

Number (a) :-

From the above given description, we can understand the Kepler's laws of planetary motion.

Number (b) :-

According to Kepler's second law [Law of areas], we know that 'the line joining the planet and the sun sweeps equal areas in equal intervals of time'.

Thus :-

Area of X₃OY₃ = Area of X₁OY₁ ,

when t₂ = t₁

Now, in the question it is given that :-

Ar.X₃OY₃ = n × Ar.X₁OY₁

Thus, according to Law of Areas, relation between t₁ and t₂, will be :-

=> n × t₁ = t₂

∴ t₂ = nt₁

Number (c) :-

Kepler's third law [Law of Periods] is used to formulate inverse square law of gravity i.e. F ∝ 1/r² .

Law of periods : The cube of mean distance of a planet from the sun is proportional to the square of its orbital period T.

=> r³ ∝ T² or r³/T² = constant