SI unit of gravitational constant is ______.

Correct option is B

The correct answer is (b) Nm²/kg².
The gravitational constant (denoted by G) appears in Newton's law of universal gravitation, which is given by:
F = G * (m1 * m2) / r²
where:
· F is the gravitational force between two masses,
· G is the gravitational constant,
· m1 and m2 are the masses of the two objects,
· r is the distance between the centers of the two masses.
To isolate the units of G, we rearrange the equation:
G = F * r² / (m1 * m2)
In terms of units:
· F has units of newtons (N),
· r² has units of meters squared (m²),
· m1 and m2 have units of kilograms (kg).
So, the units of G become:
G = N * m² / kg²
Therefore, the SI unit of the gravitational constant G is Nm²/kg², which matches option (b).
Information Booster: ● The gravitational constant G is a universal constant used to calculate gravitational forces. ● The approximate value of G is 6.674 × 10⁻¹¹ Nm²/kg². ● It plays a crucial role in the law of universal gravitation, explaining the attractive force between two masses. ● The gravitational constant is a very small value, which is why gravitational forces are generally weak compared to other forces at smaller scales.