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Question

Which of the following is the INCORRECT statement related to energy?

The correct answer is

The rate of doing work is known as energy.

Understanding Energy and Power

Let's analyze each statement provided in the options to determine which one is incorrect regarding energy.

Analyzing Energy Statements

We will examine each statement in detail:

  • Statement 1: Potential energy is also known as position energy or datum energy.

    Potential energy is the energy an object possesses due to its position or state. Gravitational potential energy, for instance, depends on an object's height relative to a reference point (datum). So, associating potential energy with position or a datum is correct.

  • Statement 2: Energy can neither be created nor destroyed.

    This statement is a fundamental principle in physics known as the Law of Conservation of Energy. It states that energy can be transformed from one form to another, but the total amount of energy in a closed system remains constant. This statement is correct.

  • Statement 3: Energy is the product of power and time.

    Power is defined as the rate at which work is done or energy is transferred. Mathematically, power ($P$) is given by the formula:

    \(P = \frac{W}{t}\)

    where \(W\) is work done (or energy transferred, \(E\)) and \(t\) is time. Rearranging this formula, we get:

    \(W = P \times t\) or \(E = P \times t\)

    Thus, energy is indeed the product of power and time. This statement is correct.

  • Statement 4: The rate of doing work is known as energy.

    This statement is incorrect. As discussed above, the rate of doing work is defined as power, not energy.

    • Energy: The capacity to do work. Measured in Joules (J).
    • Power: The rate at which work is done or energy is transferred. Measured in Watts (W), where \(1 \text{ W} = 1 \text{ J/s}\).

    Therefore, saying that the rate of doing work is known as energy is fundamentally wrong based on the definitions of energy and power.

Identifying the Incorrect Statement

Based on our analysis, Statement 4 incorrectly defines energy. The rate of doing work is the definition of power.

The incorrect statement related to energy is, "The rate of doing work is known as energy."

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Important Questions from Work Power and Energy

  1. A boy raises a box with a weight of 120 N from a height of 2 m. The work done by him is ________.

  2. While releasing the arrow from a stretched bow, the Potential Energy of the bow is converted into?

  3. Which is the main source of almost all energy on Earth?

  4. Area under constant velocity – time curve equals ________ of the object over a given time interval.

  5. If a body of mass is m, linear momentum is p and kinetic energy is K, then which of the following expressions is true?

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