Home
Class 11
PHYSICS
The equation of a wave travelling on a s...

The equation of a wave travelling on a string is given by Y(mn) = 8 sin[`(5m^(-1)x-(4s^(-1)t`]. Then

A

velocity of wave is 0.8 m/s

B

the displacement of a particle of the sting at t= 0 and `x = (pi)/(30)` m from the mean position is 4 mn

C

the displacement of th mean position at t = 0, `x = (pi)/(30)`m is 8 m/s

D

velocity of the wave is 8 m/s

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • WAVE MOTION

    DC PANDEY|Exercise Comprehion Type Questions|19 Videos
  • WAVE MOTION

    DC PANDEY|Exercise Matrix Matching|16 Videos
  • WAVE MOTION

    DC PANDEY|Exercise ONLY ONE OPTION IS CORRECT|62 Videos
  • VECTORS

    DC PANDEY|Exercise Medical enrances gallery|9 Videos
  • WORK, ENERGY & POWER

    DC PANDEY|Exercise Level 2 Comprehension Based|2 Videos

Similar Questions

Explore conceptually related problems

The equation of a wave travelling on a string is y = (0.10 mm) sin [(31.4 m^(-1)) x + (314 s^(-1))t] (a) In which direction does the travel? (b) Find the wave speed, the wavelength and the frequency of the wave. ( c ) What is the maximum displacement and the maximum speed of a portion of the string?

The equation of a wave travelling on a string is y=(0.10mm)sin[3.14m^-1)x+(314s^-1)t] . (a) In which direction does the wave travel ? (b) Find the wave speed, the wavelength and the frequency of the wave. (c) What is the maximum displacement and the maximum speed of a portion of the string ?

The equation of a transverse wave on a string is y =(2.0 mm) sin[(15 m^(-1)]x -(900 s^(-1))t]. The linear density is 4.17 g/m. (a) What is the wave speed? (b) What is the tension in the string?

The equation of a transverse wave travelling along a string is given by y = 5 cos pi (100t - x)cm . Its wavelength is

The equetion of a progressive wave travelling along a string is given by y=10 sinpi(0.01x-2.00t) where x and y are in centimetres and t in seconds. Find the (a) velocity of a particle at x=2 m and t=5//6 s. (b) acceleration of a particle at x=1 m and t=1//4 s. also find the velocity amplitude and acceleration amplitude for the wave.

The equation for a wave travelling in x-direction on a string is : y = (3 cm) sin [(pi cm^(-1)) x - (314)s^(-1)t] Then find acceleration of a particle at x = 6 cm at t = 0.11 sec-

The equation of a wave travelling on a string is y=4sin[(pi)/(2)(8t-(x)/(8))] , where x,y are in cm and t in second. They velocity of the wave is

The equation of a wave travelling on a string is y=8 sin [pi/2 (4t-x/16)] , where x, y are in cm and t in second. The velocity of the wave is

The equation for a wave travelling in x-direction on a string is y =(3.0cm)sin[(3.14 cm^(-1) x - (314s^(-1))t] (a) Find the maximum velocity of a particle of the string. (b) Find the acceleration of a particle at x =6.0 cm at time t = 0.11 s.

The equation for a wave travelling in x-direction 0n a string is y = (3.0 cm) sin [(3.14 cm^(-1) x -(314 s^(-1)t] (a) Find the maximum velocity of a particle of the string. (b) Find the acceleration of a particle at x = 6.0 cm at time t = 0.11 s

DC PANDEY-WAVE MOTION-More Than One Option is Correct
  1. A closed organ pipe of length 1.2 m vibrates in its first overtone ...

    Text Solution

    |

  2. PROGRESSIVE WAVES

    Text Solution

    |

  3. The equation of a wave distrubance is a given as y= 0.02 sin ((pi)/(...

    Text Solution

    |

  4. The figure show an instantaneous profile of a rope carrying a progre...

    Text Solution

    |

  5. The tension in a stretch string fixed at both ends is changed by 2%, ...

    Text Solution

    |

  6. The equational of a stationary wave in a string is y=(4mm) sin [(31...

    Text Solution

    |

  7. The figure represent a longitudianl waave length travelling in posit...

    Text Solution

    |

  8. WHICH OF THE FOLLOWING FUNCTIONS OF X AND T REPRESENTS A PROGRESSIVE W...

    Text Solution

    |

  9. The equation of a wave travelling on a string is given by Y(mn) = 8 si...

    Text Solution

    |

  10. For a certain stretched string, three consecutive resonance frequencie...

    Text Solution

    |

  11. A wave equation which given the dispplacement along the y-direction is...

    Text Solution

    |

  12. An air column in a pipe, when is closed at one end, is in resonance wi...

    Text Solution

    |

  13. Velocity of secnod in air is 320 m/s. Neglecting end correctionss, the...

    Text Solution

    |

  14. The plane wave represented by an eqution of the form y = f(x-vt) impli...

    Text Solution

    |

  15. S(1) and S(2) are two sources of sound emitting sine waves. The two so...

    Text Solution

    |

  16. Two narrow organ pipes, one open (length l(1)) and the other cloed (le...

    Text Solution

    |

  17. Given are two tuning forks near one another. One of them is of unknown...

    Text Solution

    |

  18. A long itudinal sine wave is travelling in air along positive x-direct...

    Text Solution

    |

  19. Two very long string are tial together at the point x = 0 In region x ...

    Text Solution

    |

  20. Shape of a string transmitting wave along x-axis some instant is show...

    Text Solution

    |