The SI unit of universal gravitational constant (G) is-

  1. Nm/kg
  2. Nm2/kg
  3. Nm2/kg2
  4. N2m2kg2

Answer (Detailed Solution Below)

Option 3 : Nm2/kg2
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Agniveer Navy SSR Full Test - 01
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Detailed Solution

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CONCEPT:

  • Newton's law of gravitation: The gravitational force between two objects is directly proportional to the product of masses of the objects and inversely proportional to the distance between two mass.

i.e., 

whereas according to classical mechanics force acting on the particle is given as

Force (F) = mass (m) × acceleration (a)

Where, F = gravitational force, M = mass of a heavier object, m = mass of a lighter object, R = distance between two masses

EXPLANATION:

Now using the above equation, we can say that 

The SI unit of force is the Newton (N).

The SI unit of distance (R) is meter (m) and the SI unit of mass is kg.

The SI unit of G = N m2/kg2

So option 3 is correct.

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