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Variation in g with Depth

Acceleration due to gravity at the surface of the Earth
 
46521.png  (1)
 
Acceleration due to gravity at depth d from the surface of the Earth,
 
46515.png  (2)
 
From (1) and (2)
 
46509.png
 
49045.png
Fig. 4
  
Important Point
The value of g decreases on going below the surface of the Earth. From (2) we get g ∝ (R – d). So it is clear that if d increases, the value of g decreases.




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