Question

Statement I: According to law of conservation of mechanical energy change in potential energy is equal and negative to the change in kinetic energy
Statement II: Mechanical energy is not a conserved quantity.

• A. If both statement I and statement II are true and statement II is the correct explanation of statement I.
• B. If both statement I and statement II are true but statement II is not the correct explanation of statement I.
• C. If statement I is true but statement II is false.
• D. If both statement I and statement II are false.

Answer 1

Answer: (C)

For conservative forces the sum of kinetic and potential energies at any point remains constant throughout the motion.
This is known as law of conservation of mechanical energy.
According to this law, Kinetic energy + Potential energy = constant
or $\Delta K+\Delta U=0$ or $\Delta K=-\Delta U$