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Q.

Given below are two statements :
Statement I : Acceleration due to earth’s gravity decreases as you go ‘up’ or ‘down’ from earth’s surface .
Statement II : Acceleration due to earth’s gravity is same at a height  ‘h’ and depth ‘d’ from earth’s surface ; if h = d
In the light of above statements, choose the mast appropriate answer form the options given below

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a

Both Statement I and II are correct

b

Statement I is correct but statement II is incorrect

c

Statement I is incorrect but statement II is correct

d

Both Statement I and Statement II are incorrect

answer is C.

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Detailed Solution

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If a body is at a height of 'h' from the surface, the acceleration due to gravity is given by 

g1=g12hR

If a body is at a depth of 'd' from the surface, the acceleration due to gravity is given by 

g11=g1dR

As 'h' and 'd' increases the value of acceleration due to gravity decreases.

Acceleration due to earth’s gravity is same at a height  ‘h’ and depth ‘d’ from earth’s surface if d=2h.

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