Question

Consider the following statements. The total energy of a particle executing simple harmonic motion depends on its

(1) Amplitude (2) Period (3) Displacement

Of these statements

• A. (1) and (2) are correct
• B. (2) and (3) are correct
• C. (1) and (3) are correct
• D. (1), (2) and (3) are correct

Answer 1

Answer: (A)

(1) and (2) are correct

Answer 2

$E = \frac{1}{2}ma^{2}\omega^{2} = \frac{1}{2}ma^{2}\left( \frac{4\pi^{2}}{T^{2}} \right)$⇒ $E \propto \frac{a^{2}}{T^{2}}$