If the acceleration due to gravity of the earth is 6 times the acceleration due to gravity on moon, which of the following statement is correct?

Correct option is C

Correct Answer: (C) The weight of a given object is 6 times higher on the earth as compared to its weight on the moon.

Explanation:

The weight of an object is directly proportional to the acceleration due to gravity (W=m×g).

1. Acceleration due to Gravity:
• On the Earth (g_e): Acceleration due to gravity is 6×6 \times6× greater than that on the Moon (gmg_mgm​).
2. Relation between Weight:
• Weight on Earth: W_e=m×g_e
• Weight on Moon: W_m=m×g_m

Given ge=6×g_m​,

W_e=6×W_m

1. Conclusion:
• The weight of an object on Earth is 6 times higher than its weight on the Moon because of the higher gravitational acceleration on Earth.