The value of Universal Gravitational constant is G on a certain planet of mass M, on another planet of mass 4M, the value of the Universal Gravitational constant will be:  

The correct answer is 3) G.

Key Points

• The Universal Gravitational Constant (G) is a physical constant that is invariant and has the same value in all locations in the universe.
• Its value is approximately 6.67430 × 10^-11 N·m²/kg².
• The value of G does not depend on the masses or the distance between the objects; it remains constant.
• The gravitational force between two masses is given by Newton's law of universal gravitation, which incorporates the constant G.

Additional Information

• Newton's Law of Universal Gravitation:
  • It states that every point mass attracts every other point mass in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
• Formula for Gravitational Force (F):
  • F = G * (m₁ * m₂) / r²
  • Where F is the gravitational force, G is the gravitational constant, m₁ and m₂ are the masses of the objects, and r is the distance between the centers of the two masses.
• Importance of G:
  • G is crucial for calculating gravitational forces in physics, astronomy, and engineering.
  • It helps in understanding the motion of planets, stars, and galaxies.
• Variation of Gravitational Force:
  • While G remains constant, the gravitational force can vary based on the masses involved and the distance between them.
  • This variation is described by the inverse-square law.