A tuning fork of frequency $392 Hz,$ resonates with $50 cm $ length of a string under tension ($T$). If length of the string is decreased by $2\%$, keeping the tension constant, the number of beats heard when the string and the tuning fork made to vibrate simultaneously is
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Two sitar strings $A$ and $B$ playing the note $'Ga'$ are slightly out of tune and produce beats of frequency $6\,Hz$ . The tension in the string $A$ is slightly reduced and the beat frequency is found to reduce to $3\,Hz$. If the original frequency of $A$ is $324\,Hz$, what is the frequency of $B$ ..... $Hz$
An organ pipe of length $L$ is open at one end and closed at other end. The wavelengths of the three lowest resonating frequencies that can be produced by this pipe are
A string of length $1\ m$ fixed at both ends is vibrating in $3^{rd}$ overtone. Tension in string is $200\ N$ and linear mass density is $5\ gm/m$ . Frequency of these vibrations is ..... $Hz$
$16$ tunning forks are arranged in the order of increasing frequencies. Any two successive forks give $8$ beats per sec when sounded together. If the frequency of the last fork is twice the first, then the frequency of the first fork is
A student determines the velocity of sound with the help of a closed organ pipe. If the observed length for fundamental frequency is $24.7 m$, the length for third harmonic will be .... $cm$