A tuning fork of known frequency 256,Hz produ | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Let the frequency of the piano string be $n_P$. The frequency of the tuning fork is $n_f = 256\,Hz$.The beat frequency is given by $|n_f - n_P| =

Vedclass · Accepted Answer

$256 - 5\,Hz$

Vedclass · Answer

(D) Let the frequency of the piano string be $n_P$. The frequency of the tuning fork is $n_f = 256\,Hz$.The beat frequency is given by $|n_f - n_P| = 5\,Hz$. This implies $n_P = 256 \pm 5\,Hz$,so $n_P$ is either $251\,Hz$ or $261\,Hz$.When the tension $T$ in the piano string is increased,the frequency $n_P$ increases because $n_P \propto \sqrt{T}$.If $n_P$ was $251\,Hz$,increasing the tension makes $n_P$ approach $256\,Hz$,which would decrease the beat frequency $|256 - n_P|$.If $n_P$ was $261\,Hz$,increasing the tension makes $n_P$ move further away from $256\,Hz$,which would increase the beat frequency.Since the beat frequency decreases from $5\,Hz$ to $2\,Hz$,the initial frequency must have been $251\,Hz$.Therefore,the frequency of the piano string before increasing the tension was $256 - 5 = 251\,Hz$.

$A$ tuning fork of known frequency $256\,Hz$ produces $5$ beats per second with the vibrating string of a piano. The beat frequency decreases to $2$ beats per second when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was

Similar Questions

Two sound waves of wavelengths $5 \ m$ and $6 \ m$ produce $30$ beats in $3 \ s$. The velocity of sound is .... $m/s$.

$A$ pair of tuning forks produces $2$ beats in a time interval of $0.4 \ s$. The beat frequency is .... $Hz$.

Two tuning forks $A$ and $B$ produce notes of frequencies $256 \ Hz$ and $262 \ Hz$ respectively. An unknown note sounded at the same time as $A$ produces beats. When the same note is sounded with $B$,the beat frequency is twice as large. The unknown frequency could be ... $Hz$

Beats are the result of

Vedclass Test Series

Exam Paper Generator

Online Exam Module