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. $2\text{\%}$
• B. $1\text{\%}$
• C. $0.5\text{\%}$
• D. $0.25\text{\%}$

Answer 1

Answer: (B)

$1\text{\%}$

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 $1$%.