Home
Class 12
PHYSICS
The potential energy of a partical varie...

The potential energy of a partical varies as .
`U(x) = E_0 ` for ` 0 le x le 1`
`= 0` for `x gt 1 `
for `0 le x le 1` de- Broglie wavelength is `lambda_1` and for `xgt1` the de-Broglie wavelength is `lambda_2`. Total energy of the partical is `2E_0`. find `(lambda_1)/(lambda_2).`

A

`sqrt3`

B

`sqrt7`

C

`sqrt2`

D

`sqrt5`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 83

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos
  • NTA JEE MOCK TEST 85

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos

Similar Questions

Explore conceptually related problems

The potential energy of particle of mass m varies as U(x)={(E_(0)"for"0lexle1),(0" for " gt 1):} The de Broglie wavelength of the particle in the range 0lexle1 " is " lamda_(1) and that in the range xgt1" is "lamda_(2) . If the total of the particle is 2E_(0)," find "lamda_(1)//lamda_(2) .

The de Broglie wavelength (lambda) of a particle is related to its kinetic energy E as

The potential energy of a particle of mass m is given by U(x){{:(E_(0),,,0lexlt1),(0,,,xgt1):} lambda_(1) and lambda_(2) are the de-Broglie wavelength of the particle, when 0le x le1 and x gt 1 respectively. If the total energy of particle is 2E_(0) , then the ratio (lambda_(1))/(lambda_(2)) will be

Kinetic energy of the particle is E and it's De-Broglie wavelength is lambda . On increasing it's KE by delta E , it's new De-Broglie wavelength becomes lambda/2 . Then delta E is

An electron in a hydrogen like atom makes transition from a state in which itd de Broglie wavelength is lambda_(1) to a state where its de Broglie wavelength is lambda_(2) then wavelength of photon ( lambda ) generated will be :

If the de-Broglie wavelength is lambda_(0) for protons accelerated through 100 V, then the de-Broglie wavelength for alpha particles accelerated through the same voltage will be

A particle moving with kinetic energy E has de Broglie wavelength lambda .If energy Delta E is added to its energy the wavelength become (lambda)/(2) value of Delta E is

A particle of charge q mass m and energy E has de-Broglie wave length lambda .For a particle of charge 2q mass 2m and energy 2E the de-Broglie wavelength is

NTA MOCK TESTS-NTA JEE MOCK TEST 84-PHYSICS
  1. A 2 m long wire of resistance 4 Omega and diameter 0.64 mm is coated w...

    Text Solution

    |

  2. An elastic ball is dropped on a long inclined plane. If bounces, hits ...

    Text Solution

    |

  3. A hanging block of mass m' prevents the smaller block of mass m from s...

    Text Solution

    |

  4. There is a stream of neutrons with a kinetic energy of 0.0327 eV. If t...

    Text Solution

    |

  5. The spring block system lies on a smooth horizontal surface. The free ...

    Text Solution

    |

  6. The potential energy of a partical varies as . U(x) = E0 for 0 le x...

    Text Solution

    |

  7. A glass capillary tube is of the shape of a truncated cone with an ape...

    Text Solution

    |

  8. A ray of light is incident on a surface of glass slab at an angle 45^@...

    Text Solution

    |

  9. A uniform rod of mass M is hinged at its upper end. A particle of mass...

    Text Solution

    |

  10. The circuit has two oppositely connected ideal diodes in parallel. Wha...

    Text Solution

    |

  11. An ideal gas is expanded such that PT^(2)=a constant. The coefficient ...

    Text Solution

    |

  12. If velocity, force and time are taken to be fundamental quantities fin...

    Text Solution

    |

  13. In a biprism experiment with sodium light,bands of width 0.0195cm are ...

    Text Solution

    |

  14. A source of sound S emitting waves of frequency 100 Hz and an observer...

    Text Solution

    |

  15. A 0.5kg block slides from the point A on a horizontal track with an in...

    Text Solution

    |

  16. Kalpha wavelength emitted by an atom of atomic number Z=11 is lambda. ...

    Text Solution

    |

  17. A galvanometer of resistance 30Omega is connected to a battery of emf ...

    Text Solution

    |

  18. Two tangent galvanometers A and B have coils of radii 8cm and 16cm res...

    Text Solution

    |

  19. During an adiabatic process, the pressure of a gas is found to be prop...

    Text Solution

    |

  20. The resultant force (inmuN) on the current loop PQRS due to a long cur...

    Text Solution

    |