The Exciting World of Distance and Energy Conversion!

What is the conversion between distance and energy based on the data provided?

Options:

a. 5 - 375; 12 - 900; 1 - 75

b. 5 - 375; 12 - 2250; 1 - 675

c. 5 - 375; 12 - 675; 1 - 45

d. 5 - 375; 12 - 1800; 1 - 150

The question is asking for the conversion between distance and energy. Looking at the options provided, it can be seen that only option b. 5-375; 12-2250; 1-675 provides a consistent conversion factor.

Work-Energy Theorem: According to this theory, an object's energy will change in proportion to the amount of work done on it. We can solve for the distance an object travels knowing the force of the work by equating this and the object's ultimate energy.

Change in Total Energy: More potential energy has been added than kinetic energy has been subtracted. Because of this, an electron's total energy grows as its distance from the nucleus increases. This means that an electron's total energy increases as it moves away from the nucleus.

Final Answer: The correct option is c. 5-375; 12-675; 1-45.

Explanation: The relationship between distance and energy expenditure appears to follow a consistent pattern across the given data points. The consistent ratio of 1/75 supports a linear relationship. Verifying option c with the values 12/675 = 1/45 confirms it as the correct choice.

In conclusion, option c is consistent with a linear relationship between distance and energy expenditure based on the given data points.