Question Details

A suitable unit for gravitational constant is

Options

A

kg meter sec⁻¹

B

Newton meter⁻¹ sec

C

Newton meter² kg⁻²

D

kg meter sec⁻¹

Correct Answer :

Newton meter² kg⁻²

Solution :

The correct answer is Newton meter² kg⁻².

To find the suitable unit for the universal gravitational constant (G), we can use Newton's law of universal gravitation. According to this law, the gravitational force (F) between two masses (m1 and m2) separated by a distance (r) is given by the formula:
F=Gm1m2r2

To find the unit of the gravitational constant G, we can rearrange the formula to solve for G:
G=Fr2m1m2

Now, let's substitute the standard SI units for each of the variables in this equation:
1. Force (F) is measured in Newtons (N).
2. Distance (r) is measured in meters (m), so r2 has the unit meter² (m2).
3. Masses (m1 and m2) are measured in kilograms (kg), so their product m1m2 has the unit kg × kg = kg².

Substituting these units into our rearranged equation for G gives:
Unit of G=Newton×meter2kg2

Expressing this division using negative exponents, we get:
Unit of G=Newton meter2 kg-2

Therefore, a suitable unit for the gravitational constant is Newton meter² kg⁻².

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • JEE
  • intermediate
  • 3 hours
  • chemistry, mathematics, physics

  • JEE
  • intermediate
  • 3 hours
  • chemical engineering, mathematics, physics