Equation of travelling wave on a stretched string of linear density $5\,g/m$ is $y = 0.03\,sin\,(450\,t -9x)$ where distance and time are measured in $SI$ united. The tension in the string is ... $N$

A perfectly elastic uniform string is suspended vertically with its upper end fixed to the ceiling and the lower end loaded with the weight. If a transverse wave is imparted to the lower end of the string, the pulse will

A transverse wave propagating on the string can be described by the equation $y=2 \sin (10 x+300 t)$. where $x$ and $y$ are in metres and $t$ in second. If the vibrating string has linear density of $0.6 \times 10^{-3} \,g / cm$, then the tension in the string is .............. $N$

A string of mass $m$ and length $l$ hangs from ceiling as shown in the figure. Wave in string moves upward. $v_A$ and $v_B$ are the speeds of wave at $A$ and $B$ respectively. Then $v_B$ is

A rope of length $L$ and mass $M$ hangs freely from the ceiling. If the time taken by a transverse wave to travel from the bottom to the top of the rope is $T$, then time to cover first half length is

If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is :