The S. I unit of G isa)Nkg2/m2b)Nm2/kg2c)N2m/kgd)Nm/kg2Correct answer ...
Universal gravitational constant is represented by ‘G’. S.I. unit of universal gravitational constant is Nm2/Kg2. As G = Fxr2/Mm.
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The S. I unit of G isa)Nkg2/m2b)Nm2/kg2c)N2m/kgd)Nm/kg2Correct answer ...
G is the force acting per unit area attracting a unit kg of object mass so the unit is Nm^2/m^2
The S. I unit of G isa)Nkg2/m2b)Nm2/kg2c)N2m/kgd)Nm/kg2Correct answer ...
The correct answer is option 'B', Nm^2/kg^2.
Explanation:
- **G**: The symbol 'G' represents the gravitational constant. It is a fundamental constant in physics that is used to determine the gravitational force between two objects.
- **SI Unit of G**: The SI unit of the gravitational constant 'G' is derived from the equation for gravitational force. Gravitational force is given by the equation F = (G * m1 * m2) / r^2, where 'F' is the force, 'm1' and 'm2' are the masses of the two objects, and 'r' is the distance between them.
- The SI unit of force is the Newton (N), the SI unit of mass is the kilogram (kg), and the SI unit of distance is the meter (m).
- Plugging in these units into the equation for gravitational force, we get N = (G * kg * kg) / m^2.
- Rearranging the equation, we find that G = (N * m^2) / (kg * kg).
- Therefore, the SI unit of G is Nm^2/kg^2, which is option 'B'.
In summary, the SI unit of the gravitational constant 'G' is Nm^2/kg^2. This unit is derived from the equation for gravitational force and represents the relationship between force, mass, and distance in the context of gravity.