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A standing wave pattern of amplitude $A$ in a string of length $L$ shows $2$ nodes (plus those at two ends). If one end of the string corresponds to the origin and $v$ is the speed of progressive wave, the disturbance in the string, could be represented (with appropriate phase) as:
The phase difference between two points separated by $0.8 m$ in a wave of frequency is $120 Hz$ is $\frac{\pi }{2}.$ The velocity of wave is ..... $m/s$
An open pipe resonates with a tuning fork of frequency $500 Hz$. it is observed that two successive nodes are formed at distances $16$ and $46 cm $ from the open end. The speed of sound in air in the pipe is ..... $m/s$
A transverse progressive wave on a stretched string has a velocity of $10\,m{s^{ - 1}}$ and a frequency of $100 Hz.$ The phase difference between two particles of the string which are $2.5 cm$ apart will be
A vibrating string of certain length $l$ under a tension $T$ resonates with a mode corresponding to the first overtone (third harmonic) of an air column of length $75\, cm$ inside a tube closed at one end. The string also generates $4\, beats$ per second when excited along with a tuning fork of frequency $n$. Now when the tension of the string is slightly increased the number of beats reduces to $2\, per second$. Assuming the velocity of sound in air to be $340\, m/s$, the frequency $n$ of the tuning fork in $Hz$ is
If $n _{1}, n_{2}$ and $n _{3}$ are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency $n$ of the string is given by
A tuning fork $A$ produces $4$ beats/sec with another tuning fork $B$ of frequency $320 Hz$. On filing the fork $A$, $4$ beats/sec are again heard. The frequency of fork $A$, after filing is ....$Hz$