Home
Class 12
PHYSICS
Two travelling waves y1=Asin[k(x-ct)] an...

Two travelling waves `y_1=Asin[k(x-ct)]` and `y_2=Asin[k(x+ct)]` are superimposed on string. The distance between adjacent nodes is

A

`(ct)/(pi)`

B

`(ct)/(2pi)`

C

`(pi)/(2k)`

D

`(pi)/(k)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • STATIONARY WAVES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|123 Videos

  • STATIONARY WAVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|16 Videos

  • STATIONARY WAVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|16 Videos

  • SEMICONDUCTORS

    TARGET PUBLICATION|Exercise Evaluation Test|17 Videos

  • SURFACE TENSION

    TARGET PUBLICATION|Exercise EVALUATION TEST|21 Videos

Similar Questions

Explore conceptually related problems

Assertion: Two waves y_1 = A sin (omegat - kx) and y_2 = A cos(omegat-kx) are superimposed, then x=0 becomes a node. Reason: At node net displacement due to waves should be zero.

Two identical waves each of frequency 10Hz, are travelling in opposite directions in a medium with a speed of 20 cm/s . Then the distance between adjacent nodes is

The equation of a travelling and stationary waves are y_1=asin(omegat-kx) and y_2=asinkxcosomegat . The phase difference between two points x_1=(pi)/(4k) and (4pi)/(3k) are phi_1 and phi_2 respectively for two waves, where k is the wave number. The ratio phi_(1)//phi_(2)

A string vibrates according to the equation y=5 sin ((2 pi x)/(3)) cos 20 pi t , where x and y are in cm and t in sec . The distance between two adjacent nodes is

A standing wave is formed by two harmonic waves, y_1 = A sin (kx-omegat) and y_2 = A sin (kx + omegat) travelling on a string in opposite directions. Mass density energy between two adjavent nodes on the string.

The equation of stationary wave along a stretched string is given by y = 5 sin(pi x)/(3) cos 40pi t where x and y are in centimetre and t in second. The separation between two adjacent nodes is :

The string fixed at both ends has standing wave nodes for which distance between adjacent nodes is x_1 . The same string has another standing wave nodes for which distance between adjacent nodes is x_2 . If l is the length of the string then x_2//x_1=l(l+2x_1) . What is the difference in numbers of the loops in the two cases?

TARGET PUBLICATION-STATIONARY WAVES-CRITICAL THINGKING
  1. The stationary wavey = 2a sin kx cos omega t in a closed organ pipe is...

    Text Solution

    |

  2. A standing wave resulte from sum of two transverse travelling waves gi...

    Text Solution

    |

  3. Two travelling waves y1=Asin[k(x-ct)] and y2=Asin[k(x+ct)] are superim...

    Text Solution

    |

  4. Stationary waves of frequency 300 Hz are formed in a medium in which t...

    Text Solution

    |

  5. y=6sin"(pix)/(6)cos8pit represents a stationary nodes is

    Text Solution

    |

  6. Energy is not carried by which of the following waves

    Text Solution

    |

  7. The equetion of a wave travelling on a string is y = 4 sin(pi)/(2)(8...

    Text Solution

    |

  8. A standing wave is represented by, y-Asin(100t)cos(0.01x), where x,y a...

    Text Solution

    |

  9. Two sinusoidal waves with same wavelengths and amplitudes travel in op...

    Text Solution

    |

  10. A string of length 2 m is fixed at both ends. If this string vibrates ...

    Text Solution

    |

  11. A string is producing transverse vibration whose equation is y = 0.021...

    Text Solution

    |

  12. A string fixed at both ends is 8 long and has a mass of 0.120 kg. It i...

    Text Solution

    |

  13. A wire having a linear mass density 5.0xx10^(3) kg//m is stretched bet...

    Text Solution

    |

  14. The frequency of transverse vibrations in a stretched string is 200 Hz...

    Text Solution

    |

  15. A stretched wire of lenth 110 cm is divided into three segments whos...

    Text Solution

    |

  16. Transverse waves of same frequency are generated in two steel wires A ...

    Text Solution

    |

  17. A tuning fork of frequency 392 Hz , resonates with 50 cm length of a s...

    Text Solution

    |

  18. A length of wire has frequency of 256 Hz when stretched by a force of ...

    Text Solution

    |

  19. In a stretched wire under tension and fixed at both ends, the area of ...

    Text Solution

    |

  20. A string under a tension of 100 N , emitting its fundamental mode , gi...

    Text Solution

    |