Q.

Statement I: A body becomes weightless at the centre of earth.

Statement II: As the distance from centre of earth decreases, acceleration due to gravity increases.

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a

If statement I is true but statement II is false 
 

b

If both statement I and statement II are true but statement II is not the correct explanation of statement I.
 

c

If both statement I and statement II are true and statement II is the correct explanation of statement I.
 

d

If both statement I and statement II are false 
 

answer is C.

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Detailed Solution

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As the distance from centre of earth decreases, acceleration due to gravity decreases and at the centre of earth it becomes zero.

g' = g(1-dR). If d = R then g' = 0

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Statement I: A body becomes weightless at the centre of earth.Statement II: As the distance from centre of earth decreases, acceleration due to gravity increases.