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NEET
Exam
NEET
Subject
Physics
Chapter
Gravitation

NEET · Physics · Gravitation

Six point masses of mass m each are at the vertices of a regular...

Six point masses of mass m each are at the vertices of a regular hexagon of side l. Calculate the force on any of the masses.

Options

  1. AGm2l2[1+13+12]\frac{G{{m}^{2}}}{{{l}^{2}}}\left[ 1+\frac{1}{\sqrt{3}}+\frac{1}{2} \right]
  2. BGm22l2[1+13+14]\frac{G{{m}^{2}}}{2{{l}^{2}}}\left[ 1+\frac{1}{\sqrt{3}}+\frac{1}{4} \right]
  3. CGm2l2[1+13+14]\frac{G{{m}^{2}}}{{{l}^{2}}}\left[ 1+\frac{1}{\sqrt{3}}+\frac{1}{4} \right]
  4. DGm22l2[1+13+12]\frac{G{{m}^{2}}}{2{{l}^{2}}}\left[ 1+\frac{1}{\sqrt{3}}+\frac{1}{2} \right]

Correct answer

C. Gm2l2[1+13+14]\frac{G{{m}^{2}}}{{{l}^{2}}}\left[ 1+\frac{1}{\sqrt{3}}+\frac{1}{4} \right]

Step-by-step solution

Correct Option is : (C)
$\frac{G{{m}^{2}}}{{{l}^{2}}}\left[ 1+\frac{1}{\sqrt{3}}+\frac{1}{4} \right]
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