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Q.

As shown in figure, a planet revolves round the sun in Elliptical orbit with sun at the focus. The shaded areas can be assumed to be equal. If t₁ and t₂ represent the time taken for the planet to move from A to B and C to D respectively, then

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a

t₁< t₂

b

t₁= t₂

c

2 t₁ = t₂

d

t₁ > t₂

answer is C.

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Detailed Solution

In planetary motion , radius vector of the planet sweeps out area at constant rate.

$∴ \frac{Area ASB}{t_{1}} = \frac{Area CSD}{t_{2}} = Constant$

Since area ASB = Area CSD

We can conclude t₁ = t₂

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As shown in figure, a planet revolves round the sun in Elliptical orbit with sun at the focus. The shaded areas can be assumed to be equal. If t1 and t2 represent the time taken for the planet to move from A to B and C to D respectively, then