The energy of system in simple harmonic motion is given by E=21​mω2A2. Which of the following two statements is more appropriate?(A) The energy is increased because the amplitude is increased.(B) The amplitude is increased because the energy is increased.
Statement A is more appropriate because the energy of a system in simple harmonic motion is given by E=21​mω2A2.If the mass (m) and angular frequency (ω) are made constant, Energy (E) becomes proportional to the square of amplitude (A2 ).i.e. E ∝ A2 Therefore, according to the relation, energy increases as the amplitude increases.