Question

Two oscillators are started simultaneously in same phase. After $50$ oscillations of one, they get out of phase by $\pi$, that is half oscillation. The percentage difference of frequencies of the two oscillators is nearest to

• A. 2 %
• B. 1 %
• C. 0.5 %
• D. 0.25 %

Answer 1

Answer: (B)

The two oscillators starts simultaneously in same phase, but after every $50$ oscillations they get out of phase or half oscillation.
Thus after $100$ oscillations, the phase difference between the oscillators is equal to $2 \pi$ i.e after $100$ oscillations the two oscillators differ by $1$ oscillation.
Hence percentage difference in frequencies is equal to $1 \%$.