QQuestion
The diagrams given below show two sound boxes A and B with wires of the same length (l) and tension (10 kgf) but different cross-sectional areas. Simultaneously, vibrating tuning forks of frequency 300 Hz are placed on boxes A and B. The paper rider falls off in case of B but not in case of A.

(a) Name and explain the phenomenon responsible for the falling off of the paper rider in B.
(b) The wire A resonates with a tuning fork of frequency ‘f’. Is ‘f’ greater than, less than or equal to 300 Hz? Justify your answer.
Exam-ready answer • 04 Mark
✓Answer
(a) The phenomenon is resonance. Resonance is a special case of forced vibrations. When the frequency of an externally applied periodic force equals the natural frequency of a body, the body vibrates with a large amplitude.
(b) The frequency f is less than 300 Hz. A thicker wire has greater mass per unit length and therefore a lower natural frequency when its length, tension and material remain unchanged.
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