Home
Class 11
PHYSICS
The equation of a wave on a string of li...

The equation of a wave on a string of linear mass density `0.04 kgm^(-1)` is given by
`y = 0.02(m) sin[2pi((t)/(0.04(s)) -(x)/(0.50(m)))]`.
Then tension in the string is

A

6.25 N

B

4.0 N

C

12.5 N

D

0.5 N

Text Solution

Verified by Experts

The correct Answer is:
A
`y=0.2sin[2pi((t)/(0.04)-(x)/(0.50))]`
`v=sqrt((T)/(m))=(omega)/(k)rArr sqrt((T)/(0.04))=((1)/(0.04))/((1)/(0.50))`
`T=((0.50)/(0.04))^(2)xx0.04=6.25N`.
Promotional Banner

Topper's Solved these Questions

  • WAVES AND OSCILLATIONS

    ALLEN |Exercise Part-1(Exercise-05)[B]|42 Videos

  • WAVES AND OSCILLATIONS

    ALLEN |Exercise Part-1(Exercise-04)[B]|13 Videos

  • SEMICONDUCTORS

    ALLEN |Exercise Part-3(Exercise-4)|50 Videos

Similar Questions

Explore conceptually related problems

A transverse periodic wave ona strin with a linear mass density of 0.200kg/m is described by the following equations y=0.05sin(420t-21.0x) where x and y in metres and t is in seconds. Tension in the string is

Find wave speed in a string of length 7m, mass 0.035 kg and having a tension of 60.5 N.

A progressive wave on a string having linear mass density rho is represented by y=A sin((2 pi)/(lamda)x-omegat) where y is in mm. Find the total energy (in mu J ) passing through origin from t=0 to t=(pi)/(2 omega) . [Take : rho = 3 xx 10^(-2) kg//m , A = 1mm , omega = 100 rad..sec , lamda = 16 cm ].

The transverse displacement of a string (clamped at its both ends) is given by y(x, t) = 0.06 sin ((2 x)/(3) x) cos (120 pi t) where x and y are in m and t in s. The length of the string is 1.5 m and its mass is 3.0 xx 10^(-2) kg . Answer the following : (a) Does the function represent a travelling wave or a stationary wave? (b) Interpret the wave as a superposition of two waves travelling in opposite directions. What is the wavelength, frequency , and speed of each wave ? (c ) Determine the tension in the string.

One end of a long string of linear mass density 8.0 xx 10^(-3) kg m^(-1) is connected to an electrically driven tuning fork of frequency 256Hz. The other end passes over a pulley and is tied to a pan containing a mass of 90kg. The pulley end absorbs all the incoming energy so that reflected waves at this end have negligible amplitude. At t=0, the left end (fork end) of the string x=0 has zero transverse displacement (y=0) and is moving along positive y-direction. The amplitude of the wave is 5.0 cm. Write down the transverse displacement y as function of x and t that describes the wave on the string.

A metallic sphere of mass 3 kg in air is held by a string so as to be completely immersed in a liquid of relative density 0.8. The relative density of metallic sphere is 10. The tension in the string is :-

A wave stretched between two rigid supports vibrate in its fundamental mode with a frequency of 45 Hz. The mass of wire is 3.5 xx 10^(-2) kg and its linear mass density is 4.0 xx 10^(-2) kg m^(-1) . What is (a) the speed of transverse wave on the string, and (b) the tension in the string?

ALLEN -WAVES AND OSCILLATIONS-Part-1(Exercise-05)[A]
  1. A whistle producing sound waves of frequencies 9500 Hz and above is ap...

    Text Solution

    |

  2. A sound absorber attenuates the sound level by 20 dB. The intensity de...

    Text Solution

    |

  3. While measuring the speed of sound by performing a resonance column ex...

    Text Solution

    |

  4. A wave travelling along the x-axis is described by the equation v(x, t...

    Text Solution

    |

  5. Three sound waves of equal amplitude have frequencies (n-1), n, (n + 1...

    Text Solution

    |

  6. A motor cycle starts from rest and accelerates along a straight path a...

    Text Solution

    |

  7. The equation of a wave on a string of linear mass density 0.04 kgm^(-1...

    Text Solution

    |

  8. The transverse displacement y(x, t) of a wave on a string is given by ...

    Text Solution

    |

  9. Statement-1: Two longitudinal waves given by equation y(1)(x,t)=2asin(...

    Text Solution

    |

  10. A transverse wave travelling along the positive x-axis, given by y=A s...

    Text Solution

    |

  11. A cylindrical tube, open at both ends, has a fundamental frequency f i...

    Text Solution

    |

  12. A sonometer wire of length 1.5m is made of steel. The tension in it pr...

    Text Solution

    |

  13. A pipe of length 85cm is closed from one end. Find the number of possi...

    Text Solution

    |

  14. A train is moving on a straight track with speed 20 ms^(-1). It is blo...

    Text Solution

    |

  15. A bat moving at 10 ms^(-1) towards a wall sends a sound signal of 8000...

    Text Solution

    |

  16. A source of sound emits sound waves at frequency f(0). It is moving to...

    Text Solution

    |

  17. A uniform string of length 20m is suspended from a rigid support. A sh...

    Text Solution

    |

  18. A cylindrical tube, open at both ends, has a fundamental frequency f i...

    Text Solution

    |

  19. Two engines pass each other moving in opposite directions with uniform...

    Text Solution

    |

  20. A toy-car, blowing its horn, is moving with a steady speed of 5 m//s, ...

    Text Solution

    |