Question

Figure shows the elliptical path of a planet about the Sun. The two shaded parts have equal area. If $t_{1}$ and $t_{2}$ be the time taken by the planet to go from $a$ to $b$ and from $c$ to $d$ respectively, then

• A. $t_{1}<\,t_{2}$
• B. $t_{1}=t_{2}$
• C. $t_{1}>t_{2}$
• D. insufficient information to deduce the relation between $t_{1}$ and $t_{2}$

Answer 1

Answer: (B)

This is an illustration of Kepler's $II^{rd} $ law, i.e., Area swept in equal intervals of time is constant.
$\Rightarrow t_{1}=t_{2}$