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JEE Main20244 Apr 2024Morning ShiftPhysicsGravitationActual

A metal wire of uniform mass density having length L and mass M is bent to form a semicircular arc and a particle of mass m is placed at the centre of the arc. The gravitational force on the particle by the wire is :

Options

  1. AGmM ^2 ~L ^2
  2. BGMm 2 ~L ^2
  3. C0
  4. D2 GmM L ^2

Correct answer

D. 2 GmM L ^2

Step-by-step solution

We have R= L aligned & g ₀= 2 G M L R = 2 GM L ^2 & F _ m = mg ₀= 2 GM m L ^2 aligned Hence option (4)

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