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Physics · WORK, ENERGY AND POWER

हिन्दी

Given below are two statements: Statement I: The concept of potential energy can be validly defined for any arbitrary force, including frictional and viscous forces. Statement II: Gravitational potential energy \( V(h) \) of a body near the Earth's surface satisfies the relation \( F = -\frac{dV}{dh} \), where \( F \) is the gravitational force. In the light of the above statements, choose the most appropriate answer from the options given below:

  1. Both Statement I and Statement II are correct.
  2. Both Statement I and Statement II are incorrect.
  3. Statement I is correct but Statement II is incorrect.
  4. Statement I is incorrect but Statement II is correct.

Correct answer · Option 4

Statement I is incorrect but Statement II is correct.

Explanation

Statement I is incorrect because potential energy is defined only for conservative forces where work gets stored up. Statement II is correct because the gravitational force is the negative derivative of gravitational potential energy.
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