Question

A planet moves around the sun on an elliptical path as shown in the figure. If $t_{1}$ and $t_{2}$ are the time taken by the planet to cover equal area $S A B$ and $S C D$ respectively, then

• A. $t_{1}>t_{2}$
• B. $t_{1}
• C. $t_{1}=t_{2}$
• D. $t_{1}=\sqrt{t_{2}}$

Answer 1

Answer: (C)

According to Kepler's second law of motion, the line that joins any planet to the sun sweeps equal area in equal intervals of time.
Given, areas $S A B$ and $S C D$ are equal,
so $t_{1}=t_{2}$