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Most Important Selected Qs for JEE AdvancedPhysicsGravitation

A spherical hole of radius R 2 is drilled from a planet of mass M as shown in the figure. If the gravitational acceleration at a point on the surface of the planet just above the hole is N 1.1 ~m / s ^2 , find the value of N . [Given: G=6.6 10⁻¹¹ ~N m ^2 / kg ^2, R=6 10^6 ~m , M=6 10²⁴ ~kg ]

Correct answer

5

Step-by-step solution

If there were no hole g₀= G M R^2 decrease in g due to hole (absent mass) g ₁= GM / 8 ( R / 2)^2 = GM 2 R ^2 effective g = g ₀- g ₁ aligned & = G M 2 R^2 & =5.5 ~m / s ^2 aligned

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