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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Oscillations

Olympiad workbook · NSEP · Oscillations

Two simple harmonic motions are given by x_1=a ω t+a ω t and x_2=a...

Two simple harmonic motions are given by

x_1=a \sin \omega t+a \cos \omega t

and

x_2=a \sin \omega t+\frac{a}{\sqrt{3}} \cos \omega t

The ratio of the amplitudes of the first to the second and the phase difference between them respectively are

Options

A $\sqrt{\frac{3}{2}}$ and $\frac{\pi}{12}$
B $\frac{\sqrt{3}}{2}$ and $\frac{\pi}{12}$
C $\frac{2}{\sqrt{3}}$ and $\frac{\pi}{12}$
D $\sqrt{\frac{3}{2}}$ and $\frac{\pi}{6}$

Correct answer

A. $\sqrt{\frac{3}{2}}$ and $\frac{\pi}{12}$

Step-by-step solution

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