Figure shows the motion of a planet around the Sun `S` in an elliptical orbit with the Sun at the focus. The shaded areas `A` and `B` are also shown in the figure which can be assumed to be equal. If `t_(1)` and `t_(2)` represent the time taken for the planet to move from `a` to `b` and `c` to `d`, respectively then

Options

A. `t_(1) lt t_(2)`
B. `t_(1)=t_(2)`
C. `t_(1) gt t_(2)`
D. Insufficient information to deduce the relation between `t_(1)` and `t_(2)`.

Answer

B

Explanation

Areal velocity is constant
`(A_(1))/(t_(1))=(A_(2))/(t_(2))implies A_(1)=A_(2),t_(1)=t_(2)`