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  1. ​The height at which the weight of a body becomes 1/16th, its weight on the surface of earth (radius R), is :​​​
    1. 5R
    2. 15R
    3. 3R
    4. 4R
Correct Option: C

Let at h height, the weight of a body becomes
1
th of its weight on the surface.
16
​​​
Wh = 16 Ws....(i) ​
⇒​16 Ws = Ws​....(ii)
g' =
G M
(Re + h)2

Similarly , g =
G M
Re2

g'
=
Re2
⇒ g' = g1 +
h
-2
g(Re + h)2R

⇒ Wh = 16 Ws
g' =
g
16

g' = 16g1 +
h
2
R

1
= 1 +
h
-2 ⇒ 4 = 1 +
h
16RR

h = 3R



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