A pulse or a wave train travels along a stretched string and reaches the fixed end of the string. It will be reflected back with
The same phase as the incident pulse but with velocity reversed
A phase change of $180^o$ with no reversal of velocity
The same phase as the incident pulse with no reversal of velocity
A phase change of $180°$ with velocity reversed
A vibrating string of certain length $\ell$ under a tension $\mathrm{T}$ resonates with a mode corresponding to the first overtone (third harmonic) of an air column of length $75 \mathrm{~cm}$ inside a tube closed at one end. The string also generates $4$ beats per second when excited along with a tuning fork of frequency $\mathrm{n}$. Now when the tension of the string is slightly increased the number of beats reduces $2$ per second. Assuming the velocity of sound in air to be $340 \mathrm{~m} / \mathrm{s}$, the frequency $\mathrm{n}$ of the tuning fork in $\mathrm{Hz}$ is
The frequency of a tuning fork is $256\, Hz$. The velocity of sound in air is $344\, ms^{-1}$. The distance travelled (in $meters$) by the sound during the time in which the tunning fork complete $32$ vibrations is
In Melde's experiment, the string vibrates in $4$ loops when a $50 \,gram$ weight is placed in the pan of weight $15\, gram.$ To make the string to vibrates in $6$ loops the weight that has to be removed from the pan is
If the length of stretched string is shortened by $40\%$ and the tension is increased by $44\%$, then the ratio of the final and initial fundamental frequencies is
The string of a violin has a frequency of $440 \,cps$. If the violin string is shortened by one fifth, its frequency will be changed to ........... $cps$