Question

Let ${}^{\prime }{A}^{\prime }$ be the area swept by the radial vector connecting the earth and the sun in April and May months. Then, find the area swept by the same radial vector connecting the earth and the sun in November and December months interms of $A$.

• A. $A$
• B. $2A$
• C. $\frac{30A}{31}$
• D. $\frac{31A}{30}$

Answer 1

The correct option is A $A$

Kepler's second law of planetary motion states that A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.

Now, no. of days in April+May $=t_1=30+31=61$

And, no. of days in November +December $=t_2=30+31=61$

Since, $t_1=t_2$

So, area swept by radial vector in time duration $t_1$ will be equal to that in $t_2$ which is equal to $A$.

Hence correct answer is option $A$