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Q.

The altitudes at which the weight of a body is only64% of its weight on the surface of the earth is (Radius of the earth is 6400km)

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a

1600 m

b

1600 km

c

160 km

d

16 m

answer is D.

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Detailed Solution

ww|=mgmg|

=GmR2Gm(R+h)2=(R+hR)2

w64%w=(R+hR)2

10064=(R+hR)2

108=R+hR=1+hR

∴hR=28⇒h=28(6400)

∴h=1600 km

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