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Question

The largest and the shortest distance of the earth from the sun is $$r_1$$ and $$r_2$$. Its distance from the sun when it is at perpendicular to the major axis of the orbit drawn from the sun:


A
(r1+r2)/4
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B
(r1+r2)/(r1r2)
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C
2r1r2/(r1+r2)
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D
(r1+r2)/3
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Solution

The correct option is B $$\displaystyle 2r_1r_2/(r_1+r_2)$$
Using the ellipse property is :
$$2/R=1/r_1 + 1/r_2$$
$$R=2r_1r_2/(r_1+r_2)$$

Physics

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