Correct Answer - Option 2 : 6.67 × 10
-11 N-m
2 Kg
-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 m2 are 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 m2 Kg-2.
- So the correct answer is option 2.