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Standard XII

Physics

Dimensional Analysis

If E is the t...

Question

If E is the total energy of a particle executing SHM and 'A' is the amplitude of the vibratory motion, the E and 'A' are related as

E \propto A^{2}

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E \propto 1 / A^{2}

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E \propto A

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E \propto 1 / A

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Solution

The correct option is A $E \propto A^{2}$
$∵ E = \frac{1}{2} k A^{2} \Rightarrow E \propto A^{2}$

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If E is the total energy of a particle executing SHM and 'A' is the amplitude of the vibratory motion, the E and 'A' are related as

The correct option is A E∝A2∵E=12kA2⇒E∝A2

The correct option is A $E \propto A^{2}$
$∵ E = \frac{1}{2} k A^{2} \Rightarrow E \propto A^{2}$