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CBSE Class 11-science Answered

why the value of g is zero at the centre of the earth
Asked by ubarhandepramod | 21 Nov, 2022, 03:49: PM
Expert Answer
Acceleration due to gravity  g  is the gravitaional attractive force exerted by earth on unit mass .
 
Hence acceleration due to gravity is proportional to mass of earth .
 
When we go inside earth at a depth d from surface  , only part of earth of radius (R-d)  is exerting
 
force on other objects , where R is radius of earth .
 
Outer part of earth which is spherical shell of thickness d does not exert any force
because inside spherical shell garvitational force is zero.

Hence when we go deep into earth , mass of solid spherical part is keep on decreasing , hence
 
gravitational force exerted on other object is also decreasing .
 
When we go very near to centre , mass of solid spherical part of earth is negligible and
hence exerted force on other masses is also negligible.
 
Hence when we are at centre of earth , gravitaional force exerted on other masses is zero.

Answered by Thiyagarajan K | 21 Nov, 2022, 08:22: PM
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