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AIIMS2018Physics-Oscillations

AIIMS 2018 Physics Phase Difference MCQ Question

Type: MCQ-conceptual-Medium-Class 11

Two simple harmonic motions are represented by the equations y1=0.1sin⁡(100πt+π3)y_1 = 0.1\sin\left(100\pi t + \frac{\pi}{3}\right) and y2=0.1cos⁡πty_2 = 0.1\cos \pi t. The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is:

A

π3\frac{\pi}{3}

B

−π6-\frac{\pi}{6}

C

π6\frac{\pi}{6}

D

−π3-\frac{\pi}{3}

Correct Answer

Option B

Detailed Explanation

The phase difference between the two functions v1v_1 and v2v_2 is calculated as π3−π2=−π6\frac{\pi}{3} - \frac{\pi}{2} = -\frac{\pi}{6}, indicating that v2v_2 lags behind v1v_1 by π6\frac{\pi}{6} radians. This negative phase difference signifies that v2v_2 reaches its maximum or minimum value later than v1v_1, which is a critical aspect in understanding wave interactions and oscillatory motion. Other options are not applicable as they do not provide relevant information or correct phase differences related to the given functions.

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