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

A string is producing transverse vibration whose equation is $y = 0.021\;\sin (x + 30t)$, Where $x$ and $y$ are in meters and $t$ is in seconds. If the linear density of the string is $1.3 \times {10^{ – 4}}\,kg/m,$ then the tension in the string in $N$ will be

A wire of density $9 \times 10^3 \,kg/m^3$ is stretched between two clamps one meter  apart and is subjected to an extension of $4.9 \times 10^{-4} \,m$. What will be the  lowest frequency of the transverse vibrations in the wire … $Hz$ $[Y = 9 \times 10^{10} \,N/m^2]$ ?

A stretched string resonates with tuning fork frequency $512\; Hz$ when length of the string is $0.5\; m$. The length of the string required to vibrate resonantly with a tuning fork of frequency $256 \;Hz$ would be ………. $m$

A tuning fork vibrating with a frequency of $512$ $\mathrm{Hz}$ is kept close to the open end of a tube filled with water. The water level in the tube is gradually lowered. When the water level is $17$ $\mathrm{cm}$ below the open end, maximum intensity of sound is heard. If the room temperature is $20^{°}$ $\mathrm{C}$, calculate :

$(a)$ speed of sound in air at room temperature

$(b)$ speed of sound in air at $0^{°}$ $\mathrm{C}$.

$(c)$ if the water in the tube is replaced with mercury, will there be any difference in your observations ?