SATHEE: Gravitation Question 303

Gravitation Question 303

Question: elliptical orbit of a planet m about the sun S. The shaded area SCD is twice the shaded area SAB. If $[t_{1}]$ is the time for the planet to move from C to D and $[t_{2}]$ is the time to move from A to B then

Options:

A) $[t_{i} = 4 t_{2}]$

B) $[t_{i} = 2 t_{2}]$

C) $[t_{i} = t_{2}]$

D) $[t_{i} > t_{2}]$

Show Answer

Answer:

Correct Answer: B

Solution:

According to Kepler’s law, the areal velocity of a planet around the sun always remains constant. $[S C D : A_{1} - t_{1}]$ (areal velocity constant) $[S A B : A_{2} - t_{2}]$

$\frac{A_{1}}{t_{1}} = \frac{A_{2}}{t_{2}}, t_{1} = t_{2} . \frac{A_{1}}{A_{2}}$ , given, $A_{1} = 2 A_{2}$

$[= t_{2} . \frac{2 A_{2}}{A_{2}} ∴ t_{1} = 2 t_{2}]$

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Gravitation Question 303

Question: elliptical orbit of a planet m about the sun S. The shaded area SCD is twice the shaded area SAB. If [t1] is the time for the planet to move from C to D and [t2] is the time to move from A to B then

Options:

Answer:

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Question: elliptical orbit of a planet m about the sun S. The shaded area SCD is twice the shaded area SAB. If $[t_{1}]$ is the time for the planet to move from C to D and $[t_{2}]$ is the time to move from A to B then