Question

The figure shows the motion of a planet around the sun in an elliptical orbit with 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 for the planet to move from a to b and d to c respectively, then

• A. $t _ { 1 } < t _ { 2 }$
• B. $t _ { 1 } > t _ { 2 }$
• C. $t _ { 1 } = t _ { 2 }$
• D. $t _ { 1 } \leq t _ { 2 }$

Answer 1

Answer: (C)

$t _ { 1 } = t _ { 2 }$

Answer 2

Areal velocity of the planet remains constant. If the areas A and B are equal then $t _ { 1 } = t _ { 2 }$.