Home
Class 12
PHYSICS
The equation y=4cos ((2pix)/50) sin (200...

The equation `y=4cos ((2pix)/50) sin (200 pi t)` represents a stationary wave, where `x` and `y` are in cm and `t` in s.
Then a node occurs at a distance of origin

A

12.5 cm

B

50 cm

C

20 cm

D

`100//2pi cm`

Text Solution

Verified by Experts

The correct Answer is:
A
From the given equation of stationary wave, we have
`(2pi)/50=(2pi)/(lamda)`
`:.lamda=50`
The node occurs at.
`(lamda)/4=50/4\12.5cm`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 11

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 1 (PHYSICS )|50 Videos

  • PRACTICE SET 13

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER I OBJECTIVE TYPE|50 Videos

Similar Questions

Explore conceptually related problems

The equation y=4cos ((2pix)/(50))sin(100pit) represents a stationary wave, where x and y are in cm, and 't' is in s. Then a node occurs at a distance of origin

The equation y=5sin((pix)/(25))cos(450t) represents the stationary wave in a vibrating sonometer wire, where x,y are in cm and t in sec. The distances of 2nd and 3rd nodes from one end are (in cm).

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

The equation y = 0.15 sin 5x cos 300t represents a stationary wave. The wavelength of this stationary wave will be -

The equation of a wave id represented as Y=2sin(Πx - 200Πf) where x and y are in cm and t is in second. The wave velocity is

y=6sin""(pix)/(6)cos8pit represents a stationary wave. The frequency of the stationary wave in cycles/s is

The vibrations of a string of length 60 cm fixed at both ends are represented by the equation y=4sin((pix)/15) cos (96 pi t) , where x and y are in cm and t in seconds. (a)What is the maximum displacement of a point at x = 5cm ? (b)Where are the nodes located along the string? (c)What is the velocity of the particle at x=7.5cm and t=0.25s? (d)Write down the equations of the component waves whose superposition gives the above wave.

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

The equation y=4sin pi( 200t-(x/25)) represents a transverse wave that travels in a stretched wire where x, y are in cm and t in second.Its wavelength and velocity are

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 12-Paper 1 (Physics & Chemistry)
  1. How many minimum number of coplanar vector having different magnitudes...

    Text Solution

    |

  2. A uniform disc of radius R lies in xy-plane with its centre at origin....

    Text Solution

    |

  3. The equation y=4cos ((2pix)/50) sin (200 pi t) represents a stationary...

    Text Solution

    |

  4. The Young's double slit experiment the wavelength of light lamda=4xx10...

    Text Solution

    |

  5. A neutron is confined to a nucleus of size 2xx10^(-14)m. The minimum m...

    Text Solution

    |

  6. An electron makes transition inside a hydrogen atom. The orbital angul...

    Text Solution

    |

  7. A carnot engine has an efficiency of 20%. The energy is supplied to th...

    Text Solution

    |

  8. In a p-type semiconductor the acceptor level is situated 60 m eV above...

    Text Solution

    |

  9. A transistor is used in common emitter configuration. Given its alpha=...

    Text Solution

    |

  10. In Young's double slit experiment, slit separation is 0.6 mm and the s...

    Text Solution

    |

  11. A parallel plate condenser has a unifrom electric field E (V//m) in th...

    Text Solution

    |

  12. The magnetic needle of a tangent galvanometer is deflected at an angle...

    Text Solution

    |

  13. A toroidal solenoid with an air core has an average radius of 15 cm , ...

    Text Solution

    |

  14. Two potons of energy 2.5eV each are incident on a metal plate whose wo...

    Text Solution

    |

  15. A particle P is moving in a circle of radius r with a uniform speed u....

    Text Solution

    |

  16. A simple pendulum has a time period T. The pendulum is completely imme...

    Text Solution

    |

  17. A particle is moving eastwards with a velocity 5ms^(-1), changes its d...

    Text Solution

    |

  18. A body is moving in a vertical circle of raius 2r such that, the strin...

    Text Solution

    |

  19. If there are six loops for 1m length in transverse mode of Melde's exp...

    Text Solution

    |

  20. A student unable to answer a question on Newton's laws of motion attem...

    Text Solution

    |