AP EAMCET · PHYSICS · Oscillations

An object undergoing simple harmonic motion takes $0.5 s$ to travel from one point of zero velocity to the next such point. The angular frequency of the motion is,

A $π rad s^{- 1}$
B $2 π rad s^{- 1}$
C $3 π rad s^{- 1}$
D $\frac{π}{2} rad s^{- 1}$

Verified Solution

Answer & Solution

Correct Answer

(B) $2 π rad s^{- 1}$

Step-by-step Solution

Detailed explanation

If displacement of particle undergoing SHM is given by, x=Asinωt, then velocity of the particle will be given by, v=Aωcosωt. From the graph, we can see, at point A and B velocity of the particle will be zero. Clearly, time taken is half of time period, which is…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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An object undergoing simple harmonic motion takes 0.5 s to travel from one point of zero velocity to the next such point. The angular frequency of the motion is,

Step-by-step Solution

An object undergoing simple harmonic motion takes $0.5 s$ to travel from one point of zero velocity to the next such point. The angular frequency of the motion is,