Home
Class 12
PHYSICS
The linear density of a vibrating string...

The linear density of a vibrating string is `1.3 xx 10^(-4) kg//m` A transverse wave is propagating on the string and is described by the equation `y= 0.021 sin (x + 30 t)` where x and y are measured in meter and t`t` in second the tension in the string is :-

A

`1.2N`

B

`0.12 N`

C

`0.48 N`

D

`4.8 N`

Text Solution

Verified by Experts

The correct Answer is:
B
`y = 0.2 sin ( x+ 30 t) = 0.2 sin 2 pi [(30t)/(2pi) + x/(2pi)]`
Comparing with ` y = A sin 2 pi (t/T + x/lambda)`
We get ` 1/T = 30/(2pi)`
` :. T = pi/15 " and " n = 1/T = 15/pi " and " lambda = 2 pi `
` :. V = n lambda = 15/pi xx 2 pi = 30 ` m/s
` :' v = sqrt(T/m) :. v^(2) = T/ m`
` :. T = v^(2)m = 30 xx 30 xx 1.3 xx 10^(-4)`
` = 11.7 xx 10^(-2) = 0.117 N `
Promotional Banner

Topper's Solved these Questions

  • STATIONARY WAVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS ( STANDARD LEVEL )|65 Videos

  • STATIONARY WAVES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (HIGHER LEVEL)|75 Videos

  • STATIONARY WAVES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP-8|20 Videos

  • SEMICONDUCTORS

    MARVEL PUBLICATION|Exercise MCQs|261 Videos

  • SURFACE TENSION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS . (TEST YOUR GRASP )|10 Videos

Similar Questions

Explore conceptually related problems

The linear density of a vibrating string is 2xx10^(-4) kg/m. A transverse wave is propagating on the string and is described by the equation y=0.021 sin (x + 30 t) where x and y are in metre and t is in second. The tension in the string is

The linear density of a vibrating string is 10^(-4) kg//m . A transverse wave is propagating on the string, which is described by the equation y=0.02 sin (x+30t) , where x and y are in metres and time t in seconds. Then tension in the string is

A transverse wave propagating on the string can be described by the equation y=2sin(10x+300t) where x and y are in metres and t in second.If the vibrating string has linear density of 0.6times10^(-3)g/cm ,then the tension in the string is

A transversee 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 xx 10^(-3) g//cm , then the tension in the string is

The linear density of a string is 1.9 xx 10^(-4)"kg/m." A transverse wave on the string is described by the equation y=(0.021 m) sin[(2.0 m^(-1))x +(30 s^(-1))t]. What are (a) the wave speed and (b) the tension in the string?

A wave along a string has the equation y = 0.02 sin (30 t - 4x) , where x and y are in m and t in second the amplitude of the wave is

The equation of a transverse wave propagating in a string is given by y = 0.02 sin (x + 30t) where, x and y are in second. If linear density of the string is 1.3 xx 10^(-4)kg//m , then the tension in the string is

A transverse periodic wave on a string with a linear mass density of 0.200 kg//m is described by the following equation y = 0.05 sin(420t - 21.0 x) where x and y are in meters and t is in seconds. The tension in the string is equal to :

A tranverse wave propagating on a stretched string of linear density 3 xx 10^(-4) kg per m is represented by the equation " " y = 0.2sin(1.5x + 60t) Where , x is in metre and t is in second. The tension in the string (in newton) is