The linear density of a vibrating string is $1.3 \times 10^{-4}\, kg/m.$ A transverse wave is  propagating on the string and is described by the equation $Y = 0.021\, \sin (x + 30t)$ where $x$ and $y$ are measured in meter and $t$ in second the tension in the  string is ..... $N$

  • A

    $0.12$

  • B

    $0.48$

  • C

    $1.20$

  • D

    $4.80$

Similar Questions

A rope of length $L$ and uniform linear density is hanging from the ceiling. A transverse wave pulse, generated close to the free end of the rope, travels upwards through the rope. Select the correct option.

  • [KVPY 2019]

A string of mass $2.50 \;kg$ is under a tension of $200\; N$. The length of the stretched string is $20.0 \;m$. If the transverse jerk is struck at one end of the string, how long (in $sec$) does the disturbance take to reach the other end?

Mechanical wave (sound wave) in a gas is

A wire stretched between two rigid supports vibrates in its fundamental mode with a frequency of $45 \;Hz$. The mass of the wire is $3.5 \times 10^{-2} \;kg$ and its linear mass density is $4.0 \times 10^{-2} \;kg m ^{-1} .$ What is

$(a) $ the speed of a transverse wave on the string, and

$(b)$ the tension in the string?

A steel wire has a length of $12$ $m$ and a mass of $2.10$ $kg$. What will be the speed of a transverse wave on this wire when a tension of $2.06{\rm{ }} \times {10^4}$ $\mathrm{N}$ is applied ?