The distance between the nearest node and antinode in a stationary wave is

$A$ string of length $1\,m$ and linear mass density $0.01\,kg/m$ is stretched to a tension of $100\,N$. When both ends of the string are fixed,the three lowest frequencies for standing waves are $f_1, f_2$,and $f_3$. When only one end of the string is fixed,the three lowest frequencies for standing waves are $n_1, n_2$,and $n_3$. Then:

$A$ stretched string of length $l,$ fixed at both ends,can sustain stationary waves of wavelength $\lambda,$ given by:

$A$ wave travelling along a uniform string represented by $Y=A \sin (\omega t-k x)$ is superimposed on another wave travelling along the same string represented by $Y=A \sin (\omega t+k x)$. The resultant is

The wave pattern on a stretched string is shown in the figure. Interpret what kind of wave this is and find its wavelength.

$A$ wave is reflected from a rigid support. The change in phase on reflection will be