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STATEMENT-I
If the amplitude of a simple harmonic oscillator is double, its total energy becomes four times. because
STATEMENT-II
The total energy is directly proportional to the square of the amplitude of vibration of the harmonic oscillator.

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Statement-1 is False, Statement-2 is True.

Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

Statement-1 is True, Statement2 is True; Statement-2 is NOT a correct explanation for Statement-1.

Statement-1 is True, Statement-2 is False.

answer is A.

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Detailed Solution

Total energy, $E = \frac{1}{2} m ω^{2} a^{2}$ i.e., $E \propto a^{2}$
$\frac{E'}{E} = {(\frac{2 a}{a})}^{2}, E' = 4 E .$

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