Q. A tuning fork of frequency 512 Hz makes 4 beats per second with the vibrating string of a piano. The beat frequency decreases to 2 beats per sec when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was

A) 508 Hz
B) 510 Hz
C) 514 Hz
D) 516 Hz
Explanation

[Solution from source] The string frequency is 512 ± 4, i.e. 508 or 516 Hz. Increasing tension raises the string's frequency; the beats fall to 2, so the frequency moved towards 512, meaning it was below: 508 Hz. If it were 516 Hz, raising it would increase the beats to more than 4. Answer (1).

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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