Home
Class 12
PHYSICS
The equation of wave on a string of line...

The equation of wave on a string of linear mass density 0.04 kg `m^(-1)` is given by
y = 0.02 (m) sin `[ 2 pi ( (t)/(0.04(s)) - (x)/(0.50(m)) ) ] `
The 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
` v_(2) sqrt((T)/(mu)) or t = v^(2) mu`
from given equation v = `(50)/(4) = ((25)/(2)) ms^(-1)`
`therefore " " T = (625)/(4) xx 0.04 ` = 6.25 N
so correct choice is (a).
Promotional Banner

Topper's Solved these Questions

  • WAVE MOTION

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (LEVEL -II)|73 Videos

  • WAVE MOTION

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (LEVEL -III)|8 Videos

  • UNITS, MEASURMENTS, DIMENSIONS, ERRORS OF MEASUREMENTS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|7 Videos

  • WAVE OPTICS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|18 Videos

Similar Questions

Explore conceptually related problems

The equation e^x = m(m +1), m<0 has

One end of a long string of linear mass density 8.0 xx 10^(-3) kgm^(-1) is connected to an electrically driven tuning fork of frequency 256 Hz. The other passes over a pulley and is tied to a pan containing a mass of 90 kg. 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 a function of x and t that describe the wave on the string.

The equations of a transverse wave is given by y= 0.05 sin pi (2t- 0.02x) , where x,y are in metre and t is in second. The minimum distance of separation between two particles which are in phase and the wave velocity are respectively…….

The transverse displacement of a string is given by y ( x , t ) = 0.06 sin ((2pi)/(3)) x cos ( 120 pi t) where 'x' & 'y' are 'm' and 't' is s. The length of the string is 1.5m and its mass is 3.0 xx 10^(-2) kg . Determine the tension in the string.

MODERN PUBLICATION-WAVE MOTION-RECENT COMPETITIVE QUESTIONS
  1. The equation of wave on a string of linear mass density 0.04 kg m^(-1)...

    Text Solution

    |

  2. A bat flies at steady speed of 4" m s"^(-1) emitting a sound of f=90xx...

    Text Solution

    |

  3. A clsoed organ pipe and an open organ pipe of same length produce 2 be...

    Text Solution

    |

  4. A uniform wire of length L, diameter D and density rho is stretched un...

    Text Solution

    |

  5. The equation of a wave is given by y=10sin((2pi)/(45)t+alpha) If ...

    Text Solution

    |

  6. Two tuning forks,A and B produce notes of frequencies 258 Hz and 262 H...

    Text Solution

    |

  7. A wire under tension vibrates with a fundamental frequency of 600 Hz.I...

    Text Solution

    |

  8. Which of the following is incorrect ?

    Text Solution

    |

  9. Intensity level of sound whose intensity is 10^(-8) W m^(-2) is ….. dB

    Text Solution

    |

  10. The equations of a transverse wave is given by y= 0.05 sin pi (2t- 0.0...

    Text Solution

    |

  11. The frequency of the second overtone of the open pipe is equal to the ...

    Text Solution

    |

  12. A person with vibrating tuning fork of frequency 338Hz is moving towar...

    Text Solution

    |

  13. A metallic wire of 1 m length has a mass of 10xx10^(-3)kg. If a tensio...

    Text Solution

    |

  14. A train is approaching towards a platform with a speed of 10 m s^(-1) ...

    Text Solution

    |

  15. A pipe of 30 cm long and open at both the ends produces harmonics. Whi...

    Text Solution

    |

  16. A streched string is vibrating in the second overtone , then the nu...

    Text Solution

    |

  17. When two tunning forks A and B are sounded together , 4 beats per se...

    Text Solution

    |

  18. If the surface is a perfect reflector. The change in momentum of the w...

    Text Solution

    |

  19. A steel wire has a lengh of 90 cm which is under a constant tension of...

    Text Solution

    |