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Question

What is the value of the Universal Gravitational Constant G?

This question was previously asked in
RRB JE 2018 CBT 1 Question Paper English (30-May-2019) (Shift 3)
The correct answer is

6.7 × 10-11 N m2 kg-2

6.7 × 10-11 N m2 kg-2 is correct.

Newton's law of gravitation is \(F = \dfrac{G m_1 m_2}{r^2}\), so \(G = \dfrac{F r^2}{m_1 m_2}\) and its unit is N m2 kg-2.

The measured value is \(G \approx 6.67\times10^{-11}\) N m2 kg-2, which rounds to 6.7 × 10-11 N m2 kg-2. It was first measured by Henry Cavendish with a torsion balance.

The values 13.2 and 10.7 carry the wrong unit (N m kg), and 9.7 × 10-11 has the right unit but the wrong number.

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Important Questions from Universal law of gravitation

  1. Which of the following is NOT correct ?

  2. Three point masses each of mass m are placed at the three corners of an equilateral triangle of side x. Find the resultant force acting on any one particle at the corner.

  3. Which of the following is NOT correct ?

  4. Which phenomenon, successfully explained by the universal law of gravitation, relies on the combined and differential gravitational attraction exerted by both the moon and the sun on the earth?
  5. The law of gravitation helped to prove that:
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