When time taken to complete a given amount of work increases, thena)power increasesb)power decreasesc)energy increasesd)energy decreasesCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Power= workdone / time
Hence, if we increase time, keeping work done constant, the power will decrease.
As power is inversely proportional to time

Answer

Explanation:
When the time taken to complete a given amount of work increases, it means that the work is being done at a slower rate. This has an impact on both power and energy. Let's break it down:
A. Power:
Power is defined as the rate at which work is done or energy is transferred. It is calculated by dividing the amount of work done by the time taken to do the work. In this scenario, since the time taken to complete the work has increased, the power decreases. This is because the work is being done at a slower rate.
B. Energy:
Energy is the capacity to do work. It is the product of power and time. In this scenario, since the time taken to complete the work has increased, the energy also increases. This is because more time is being taken to do the same amount of work, resulting in more energy being expended.
Therefore, the correct answer is B. Power decreases.

Answer

Explanation:

When the time taken to complete a given amount of work increases, it means that the work is being done at a slower rate or with less efficiency. In this scenario, the power decreases.

Definition of Power:
Power is defined as the rate at which work is done or the amount of work done per unit time. Mathematically, power is given by the equation:

Power = Work / Time

Effect of Increased Time:
When the time taken to complete a given amount of work increases, it means that more time is required to perform the same amount of work. This leads to a decrease in the overall amount of work done per unit time. Therefore, the power decreases.

Example:
Let's consider an example to understand this concept better. Suppose a person can complete a certain task in 2 hours, and the amount of work done is 100 units. The power in this case would be:

Power = 100 units / 2 hours = 50 units/hour

Now, if the same person takes 4 hours to complete the same task, the power would be:

Power = 100 units / 4 hours = 25 units/hour

As we can see, when the time taken to complete the work is doubled, the power is halved. This demonstrates that an increase in time leads to a decrease in power.

Conclusion:
In summary, when the time taken to complete a given amount of work increases, the power decreases. Power is defined as the rate at which work is done, and an increase in time results in a slower rate of work, leading to a decrease in power.

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