Assertion :For a given simple harmonic motion displacement and acceleration always have a constant ratio. Reason: $T = 2 π \sqrt{∣ ∣ ∣ \frac{d i s p l a c e m e n t}{a c c e l e r a t i o n} ∣ ∣ ∣}$

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
$∣ ∣ \frac{x}{a} ∣ ∣ = {(\frac{T}{2 π})}^{2} = \frac{1}{ω^{2}}$
=constant for a given SHM.

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Assertion :For a given simple harmonic motion displacement and acceleration always have a constant ratio. Reason: T=2π√∣∣∣displacementacceleration∣∣∣

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion∣∣xa∣∣=(T2π)2=1ω2 =constant for a given SHM.

Assertion :For a given simple harmonic motion displacement and acceleration always have a constant ratio. Reason: $T = 2 π \sqrt{∣ ∣ ∣ \frac{d i s p l a c e m e n t}{a c c e l e r a t i o n} ∣ ∣ ∣}$

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
$∣ ∣ \frac{x}{a} ∣ ∣ = {(\frac{T}{2 π})}^{2} = \frac{1}{ω^{2}}$
=constant for a given SHM.