$A$ string of $7 \; m$ length has a mass of $0.035 \; kg$. If the tension in the string is $60.5 \; N$,then the speed of a wave on the string is .... $m/s$.

One end of a string is tied to the ceiling of a lift and a load is attached at the bottom end of the string. When the lift is moving upwards with an acceleration of $2.1 \,ms^{-2}$, the speed of the transverse wave at the lower end of the string is $88 \,ms^{-1}$. If the lift moves downwards with an acceleration of $1.9 \,ms^{-2}$, the speed of the transverse wave at the lower end of the string is (take $g=10 \,ms^{-2}$): (in $\,ms^{-1}$)

The equation of a transverse wave propagating on a stretched string is given by $y = 3 \sin (4x + 200t)$, where $x$ and $y$ are in metres and the time $t$ is in seconds. If the tension applied to the string is $500 \ N$, the linear density of the string is: (in $kg \ m^{-1}$)

$A$ string has a mass per unit length of $10^{-6} \,kg/cm$. The equation of a simple harmonic wave produced in it is $Y=0.2 \sin(2x+80t) \,m$. The tension in the string is: (in $N$)

Which of the following graphs is correct?

$A$ uniform string is suspended vertically. $A$ transverse pulse is created at the top of the string. Then: