Home
Class 12
PHYSICS
The potential energy of a particle of ma...

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

A

2

B

1

C

`sqrt2`

D

`1/sqrt2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 4

    KVPY PREVIOUS YEAR|Exercise EXERCISE|15 Videos

  • MOCK TEST 6

    KVPY PREVIOUS YEAR|Exercise EXERCISE|22 Videos

Similar Questions

Explore conceptually related problems

The potential energy of a particle of mass m is given by V(x) = lambda_(1) and lambda_(2) are the de - Brogle wavelength of the particle, when = lex le 1 and xgt 1 repectively ,if the total energy of particle is 2 E_(0) find lambda_(1) // lambda_(2)

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) .

If lambda_(1) and lambda_(2) are the wavelength of the first members of the Lyman and Paschen series, respectively , then lambda_(1) lambda_(2) is

If lambda_(1)= and lambda_(2) are the wavelengths of the first members of Lyman and Paschen series respectively, then lambda_(1): lambda_(2) , is

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

lambda_(e),lambda_(p) and lambda_(alpha) are the de-Broglie wavelength of electron, proton and alpha particle. If all the accelerated by same potential, then

Velocity of particle = 4 v_e , if (lambda_p)/(lambda_e) = 2/1 . Find m_p/m_e ?

The potential energy of a particle of mass m is given by U = (1)/(2) kx^(2) for x lt 0 and U=0 for x ge 0 . If total mechanical energy of the particle is E . Then its speed at x = sqrt((2E)/(k)) is

The potential energy of a particle of mass m is given by U=(1)/(2)kx^(2) for x lt 0 and U = 0 for x ge 0 . If total mechanical energy of the particle is E. Then its speed at x = sqrt((2E)/(k)) is

KVPY PREVIOUS YEAR-MOCK TEST 5-EXERCISE
  1. One quarter sector is cut from a uniform circular disc of radius R. Th...

    Text Solution

    |

  2. A gaseous mixture enclosed in a vessel consists of one gram mole of a ...

    Text Solution

    |

  3. v31

    Text Solution

    |

  4. A parallel plate capacitor C with plates of unit area and separation d...

    Text Solution

    |

  5. A vessel of volume V is evacuated by means of a piston air pump. One ...

    Text Solution

    |

  6. A conducting loop is being pulled with speed v from region I of magnet...

    Text Solution

    |

  7. The current transfer ratio beta of a transistor is 50. The input resis...

    Text Solution

    |

  8. A metre long narrow bore held horizontally (and close at one end) cont...

    Text Solution

    |

  9. A thin uniformring of radius R carrying uniform charge Q and mass M ro...

    Text Solution

    |

  10. The reflecting surface is represented by the equation 2x =y^2 as shown...

    Text Solution

    |

  11. The potential energy of a particle of mass m is given by U(x){{:(E(0),...

    Text Solution

    |

  12. A cylinder rolls up an inclined plane, reaches some height, and then r...

    Text Solution

    |

  13. The escape velocity of a body on the Earth’s surface isve. A body is t...

    Text Solution

    |

  14. A 10 kW drilling machine is used to drill a bore in a small aluminium ...

    Text Solution

    |

  15. A strip of wood of length l is placed on a smooth horizontal surface. ...

    Text Solution

    |

  16. A wind - powered generator convets and energy into electrical energy ...

    Text Solution

    |

  17. An object with uniform density ρ is attached to a spring that is known...

    Text Solution

    |

  18. A tiny spherical oil drop carrying a net charge q is balanced in still...

    Text Solution

    |

  19. The flow of blood in a large artery of an anaeshetized dog is diverted...

    Text Solution

    |