Solved: PHYSICS Question for NEET

NEET PHYSICSEasy

During simple harmonic motion of a body, the energy at the extreme position is:

both kinetic and potential

is always zero

purely kinetic

purely potential

Velocity at Extreme Position: In Simple Harmonic Motion (SHM), the particle oscillates between two extreme positions ( $±A$ ) relative to a mean position ( $x=0$ ). At the extreme positions, the particle comes to a momentary rest, meaning its velocity ( $v$ ) is zero.
Kinetic Energy: Since Kinetic Energy $K = \frac{1}{2}mv^2$ , and $v=0$ at the extremes, the kinetic energy is zero.
Potential Energy: The displacement ( $x$ ) is maximum ( $x = ±A$ ) at the extreme positions. The Potential Energy ( $U$ ) is given by $U = \frac{1}{2}kx^2$ . Therefore, potential energy is maximum at the extremes ( $U_{max} = \frac{1}{2}kA^2$ ).
Conservation of Energy: The Total Energy ( $E$ ) in SHM is the sum of kinetic and potential energies ( $E = K + U$ ). Since $K=0$ at the extremes, the total energy is equal to the potential energy ( $E = U_{max}$ ). Thus, the energy is purely potential .

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