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CGP EDU Academic Team
Published on: September 12, 2026
Two mutually perpendicular simple harmonic vibrations have same amplitude, frequency and phase. When they superimpose, the resultant form of vibration will be
Text Solution
Verified by ExpertsThe correct answer is:
C
If $y_{1} = a_{1} \sin \omega t$ and $y_{2} = a_{2} \sin(\omega t + 0) = a_{2} \sin \omega t$
$\Rightarrow \frac{y_1^2}{a_1^2} + \frac{y_2^2}{a_2^2} - \frac{2 y_1 y_2}{a_1 a_2} = 0 \Rightarrow y_2 = \frac{a_2}{a_1} y_1$
This is the equation of straight line.
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