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Q.

A body weighs 72 N on the surface of the earth. What is the gravitational force on it, at a height equal to half of radius of the earth? [NEET 2020]

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a

32 N

b

30 N

c

24 N

d

48 N

answer is A.

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Detailed Solution

Given,  w=mg=72 N (on the surface of earth)At height equal to half of radius of the earth.   i.e. h=R2Acceleration due to gravity,        g'=gRR+h2=gRR+R/22=g4R29R2⇒  g'=49gGravitational force on body at height h,           F=mg'=49mg=49×72=32 Nor      w'=32 N
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