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Q.

In a cosmic event, suppose a planet heavier than the earth with mass KM (K > 1) and radius K'R (K' > 1) passes through a path near the earth (M and R are the mass and radius of earth).At what closest distance from surface of planet, we are in danger of being thrown into space:

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a

2KGMg1/2−12K′R

b

KGM2g1/2−12K′R

c

KGMg1/2−12K′R

d

KGMg1/2−K′R

answer is D.

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Detailed Solution

We will be thrown into space, if weight mg is equal to gravitational force due to the planet. If y is the closest distance.GMmR2=mg=G(KM)mK′R+y2K′R+y2=KGMgy=KGMg1/2−K′R
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