Home
Class 12
PHYSICS
For the stationary wave y=4sin((pix)/(15...

For the stationary wave `y=4sin((pix)/(15))cos(96pit)`, the distance between a node and the next antinode is

A

7.5 units

B

1.5 units

C

22.5 units

D

30 units

Text Solution

Verified by Experts

The correct Answer is:
A

`k=pi/15 implies (2pi)/lamda=pi/15 implies lamda =30 units`
Distance between node and next amplitude
`=lamda/4=30/4=7.5 units`
Promotional Banner

Topper's Solved these Questions

  • WAVES

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos
  • WAVES

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos
  • WAVE OPTICS

    DISHA PUBLICATION|Exercise EXERCISE-2 : CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

For a stationary wave y = 10 sin ((pi x)/15) cos (48 pi t) cm, the distance between a node and the nearest antinode is

The frequency of the progressive wave which form the stationary wave y=-4sin((pix)/(5)) cos (100pit) and the distance between two consecutive nodes are

The paritcle displacement (in cm) in a stationary wave is given by y(x,t)=2sin(0.1pix)cos(100pit) . The distance between a node and the next antinode is

For a stationary wave, t = 8 sin ((pix)/(20)) cos (50 pit) . What is the distance between two successive antinode ?

Equation of a stationary wave is y=10 sin ((pi x)/(4)) cos 20 pi t Distance between two consecutive nodes is

In stationary wave, the distance between a node and its adjacent antinode is ……….

The distance between any two successive nodes or antinodes is

What is the distance between a node and an adjoining antinode in a stationary wave?

DISHA PUBLICATION-WAVES-EXERCISE 1 CONCEPT BUILDER
  1. A point source emits sound equally in all directions in a non-absorbin...

    Text Solution

    |

  2. A wave travelling in the +ve x-direction having displacement along y-d...

    Text Solution

    |

  3. For the stationary wave y=4sin((pix)/(15))cos(96pit), the distance bet...

    Text Solution

    |

  4. The velocity of sound in a container of air at -73^@C is 300m//s It te...

    Text Solution

    |

  5. At room temperature the ratio of velocity of sound in air at 10 atmosp...

    Text Solution

    |

  6. यांत्रिक तरंगें NTP पर वायु में ध्वनि की चाल 332 मीटर है। NTP पर हाइड्...

    Text Solution

    |

  7. A uniform wire of length 20 m and weighing 5 kg hangs vertically. If ...

    Text Solution

    |

  8. A circular loop of rope of length L rotates with uniform angular veloc...

    Text Solution

    |

  9. A longitudinal wave is represented by x = x(0) "sin"2pi("nt" - ("x")...

    Text Solution

    |

  10. Two waves represented by y1 =a sin omega t and y2 =a sin (omega t+phi...

    Text Solution

    |

  11. The distance between two consecutive crests in a wave train produced i...

    Text Solution

    |

  12. A closed organ pipe has a frequency 'n'. If its length is doubled and ...

    Text Solution

    |

  13. An open and closed organ pipe have the same length the ratio pth mode ...

    Text Solution

    |

  14. The extension in a string obeying Hooke's law is x. The speed of sound...

    Text Solution

    |

  15. In a stationary wave that forms as a result of reflection of wave from...

    Text Solution

    |

  16. 60 सेमी लम्बाई के तने हुए तार के कम्पन की मूल आवृत्ति 256 हर्ट्ज है ।...

    Text Solution

    |

  17. A string is stretched between fixed points separated by 75.0cm. It is ...

    Text Solution

    |

  18. The fundamental frequency of an open organ pipe is 300Hz. The first ov...

    Text Solution

    |

  19. Two wires are kept tight between the same pair of supports. The tensio...

    Text Solution

    |

  20. In the sonometer experiment , a tuning fork of frequency 256 Hz is in ...

    Text Solution

    |