A frictionless tunnel is dug along a chord of the earth at a perpendicular distance 2 R from the centre of earth (where R is radius of earth). An object is released from one end of the tunnel. The c

Question

A frictionless tunnel is dug along a chord of the earth at a perpendicular distance 2 R ​ from the centre of earth (where R is radius of earth). An object is released from one end of the tunnel. The correct graph, showing the variation of acceleration of particle with its distance r from centre of earth is :

TestHub · Accepted Answer

Gravity at point P = ( R gr ​ ) F cos θ − N = 0 F sin θ = ma R mgr ​ ( r y ​ ) = ma a = ( R g ​ ) y = R g ​ r 2 − ( 2 R ​ ) 2 ​ a → f ( r )

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JEE Advanced (2028)