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Which of the following option gives the correct value and unit of universal gravitational constant?
1. 6.67 × 10-11 N-mKg2
2. 6.67 × 10-11 N-mKg-2
3. 6.626 × 10-34 N-mKg
4. Its value changes from one place to another place

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Correct Answer - Option 2 : 6.67 × 10-11 N-mKg-2

CONCEPT:

  • Gravitational Force: between two masses m1 and m2 at the distance of R is given by:

\(F=G\frac{m_1m_2}{R^2} \)

where F is the gravitational force, m1 and mare the masses, and G is the gravitational constant.

EXPLANATION:

  • The universal gravitational constant G is the universal constant.
  • Its value does not change with place or time.
  • The value of G is 6.67 × 10-11 N-m2Kg2.
  • Unit of G:

\(F=G\frac{m_1m_2}{R^2} \)

\(G=\frac{FR^2}{m_1m_2} \)

unit of G = unit of \(\frac{FR^2}{m_1m_2} \)

unit of G = \(\frac{N\times m^2}{Kg\times Kg} \)

  • The unit of G is N mKg-2.
  • So the correct answer is option 2.

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