Gravitation

Step 1: Use the formula for escape velocity.
Escape velocity is
given by the formula:
where is the gravitational constant, is the mass of the body, and is the radius.
Step 2: Apply the ratio.
We are given: The radius of Earth (where is the radius of the Moon), The acceleration due to gravity (where is the gravity on the Moon). Since , the ratio of escape velocities will be:
Step 3: Conclusion.
Thus, the ratio of escape velocities is .
Conclusion:
The correct answer is (D) .