A pendulum executes SHM and its maximum kinetic energy is K₁. If the length is doubled and it performs SHM with the same amplitude, its maximum kinetic energy is K₂. Then:
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A pendulum executes SHM and its maximum kinetic energy is K₁. If the length is doubled and it performs SHM with the same amplitude, its maximum kinetic energy is K₂. Then:

G1 Physics · Accepted Answer

For a pendulum released with the same angular amplitude θ₀, maximum kinetic energy equals the change in gravitational potential: Kₘₐₓ=mgL(1−cosθ₀). Doubling L doubles Kₘₐₓ. Therefore K₂=2K₁. Correct option: 3.