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Course: Class 11 Physics (India) - Hindi > Unit 6

Lesson 1: Newton's law of gravitation (Hindi)

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Introduction to gravity (Hindi)

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Basics of gravity and the Law of Universal Gravitation. Created by Ram Prakash.

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Sanat Santra
Posted 4 years ago. Direct link to Sanat Santra's post “How did we find the valu...”
How did we find the value of G?
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(1 vote)
Answer
- Anirudh
  Posted a year ago. Direct link to Anirudh's post “The numerical value of th...”
  The numerical value of the Universal Gravitational Constant (G) was determined by the Cavendish experiment.
  In this experiment, he attached a string (of known Torsional Constant 𝜏) to the ceiling, and to that string, he attached a rod with 2 spheres whose mass(m1) was known. Then he brought 2 spheres whose masses were also known(m2, m2>m1), close to the respective masses. When brought extremely close, the sphere and the mass on the rod experienced a gravitational force, causing the rope to twist (creating torsion).
  𝐹=𝐺𝑚𝑀/𝑑²
  At Equilibrium, the magnitude of gravitational torque and restoring torque will be equal.
  ⇒ 𝐹𝐿 = 𝜏𝜃
  ⇒(𝐺𝑀𝑚/𝑑²)𝐿=𝜏𝜃
  ⇒ 𝐺=𝜏𝜃𝑑²/𝐿𝑀𝑚
  Upon putting the appropriate values we find:
  G=6.67×10^−11𝑁 m²/kg²
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  (1 vote)

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