SATHEE: General Physics Question 7

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:

$E = \frac{1}{2} m ω^{2} A^{2}$ or $E \propto A^{2}$ ,

$\frac{E_{2}}{E_{1}} = {\frac{A_{2}}{A_{1}}}^{2} = {\frac{a}{2 a}}^{2} or E_{1} = 4 E_{2}$

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General Physics Question 7

Question 7

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