Question

When a body is dropped from same height on surface of the earth and the moon the ratio of time to reach the ground will be:

• A. (a) 1:6
• B. (b) 6:1
• C. (c) $\sqrt{6}$ : 1
• D. (d) 1 : $\sqrt{6}$

Answer 1

The correct option is A (a) 1:6

The correct option is A.

Let us take that to the gravitational force that force of attraction between two masses, is equal to the gravitational constant multiplied by the product of masses and divided by the square of the distance between them.

Now considering the mass of the” body to be dropped”- fixed-,the relation between the masses of earth to moon is $6:1$ hence the gravitational pulling force on earth will be 6 times that of that on the moon hence the acceleration on earth would be 6 times that on the moon, thus the body would reach 6 times faster on earth, compared to moon, under ideal vacuum condition.