Figure shows the elliptical path of a planet about the Sun. The two shaded parts have equal area. If t1 and t2 be the time taken by the planet to go from a to b and from c to d respectively, then

Question

(A) t1< t2 (B) t1=t2 (C) t1>t2 (D) insufficient information to deduce the relation between t1 and t2

Tardigrade Admin · Accepted Answer

This is an illustration of Kepler's IIrd law, i.e., Area swept in equal intervals of time is constant. ⇒ t1=t2

Q. 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

$t_{1} < t_{2}$

$t_{1} = t_{2}$

$t_{1} > t_{2}$

insufficient information to deduce the relation between $t_{1}$ and $t_{2}$

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

Q. Figure shows the elliptical path of a planet about the Sun. The two shaded parts have equal area. If t1​ and t2​ be the time taken by the planet to go from a to b and from c to d respectively, then

t1​<t2​

t1​=t2​

t1​>t2​

insufficient information to deduce the relation between t1​ and t2​