Introduction:
When two bodies of different masses are dropped from the same height, they experience the same acceleration due to gravity. However, their masses affect other factors such as force and inertia. In this scenario, a 1kg and a 10kg body are dropped simultaneously from the top of a tower. Let's calculate the ratio of the time taken by them to reach the ground.

Key Formula:
To calculate the time taken by an object to fall from a certain height, we can use the formula:

t = sqrt(2h/g)

Where:
- t is the time taken
- h is the height from which the object is dropped
- g is the acceleration due to gravity (approximately 9.8 m/s^2)

Calculating the time for the 1kg body:
Let's assume the height of the tower is 'h' meters.

Using the formula, the time taken by the 1kg body to reach the ground is:

t1 = sqrt(2h/g)

Calculating the time for the 10kg body:
Using the same formula, the time taken by the 10kg body to reach the ground is:

t2 = sqrt(2h/g)

Calculating the ratio:
To find the ratio of the time taken by the two bodies, we can divide their respective time values:

Ratio = t1 / t2

Final Answer:
The ratio of the time taken by the 1kg body to the 10kg body is given by the formula:

Ratio = sqrt(2h/g) / sqrt(2h/g)

Simplifying this equation, we find that the ratio is equal to 1.

Explanation:
When two bodies are dropped from the same height, the ratio of the time taken by them to reach the ground is always equal to 1. This is because the mass of an object does not affect the time it takes to fall from a certain height. Both bodies experience the same acceleration due to gravity, and therefore, the time taken is solely determined by the height from which they are dropped.

In this scenario, the 1kg and 10kg bodies have different masses, but they are dropped from the same height. Therefore, their times of descent will be equal, resulting in a ratio of 1.

1, as acceleration is independent of mass and they descend same height