General Physics Question 7
Question 7
- The phase space diagram for simple harmonic motion is a circle centered at the origin. In the figure, the two circles represent the same oscillator but for different initial conditions, and $E_{1}$ and $E_{2}$ are the total mechanical energies respectively. Then, (b)
(d)
(a) $E_{1}=\sqrt{2} E_{2}$
(b) $E_{1}=2 E_{2}$
(c) $E_{1}=4 E_{2}$
(d) $E_{1}=16 E_{2}$
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Answer:
Correct Answer: 8. (c)
Solution:
- $E=\frac{1}{2} m \omega^{2} A^{2}$ or $E \propto A^{2}$,
$$ \frac{E_{2}}{E_{1}}={\frac{A_{2}}{A_{1}}}^{2}=\frac{a}{2 a}^{2} \text { or } E_{1}=4 E_{2} $$
