Waves Ques 55

55. A tuning fork of freqqency $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

[2010]

(a) $510 $ $Hz$

(b) $514 $ $Hz$

(c) $516 $ $Hz$

(d) $508 $ $Hz$

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Answer:

Correct Answer: 55.(d)

Solution:

  1. (d) The frequency of the piano string $=512 \pm 4=516$ or $ 508 $. When the tension is increased, beat frequency decreases to $2$ , it means that frequency of the string is $508$ as frequency of string increases with tension.