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

The potential energy of a particle of mass `m` is given by
`V(x) = E_0` when `x= lex le 1 `and `xgt 1` repectively.
`lambda_(1) and lambda_(2) ` are the de - Broglie wavelength of the particle, ,if the total energy of particle is `2 E_(0)` find `lambda_(1) // lambda_(2)`

A

2

B

1

C

`sqrt(2)`

D

`(1)/(sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
3

`K.E.=2E_(0)-E_(0) ("for"0lexle1)rArrlambda_(1) = (h)/(sqrt(4mE_(0))rArr (lambda_(1))/(lambda_(2))=sqrt(2).`
Promotional Banner

Topper's Solved these Questions

  • DUAL NATURE OF RADIATION AND MATTER

    NARAYNA|Exercise ASSERTION AND REASON|15 Videos
  • DUAL NATURE OF RADIATION AND MATTER

    NARAYNA|Exercise EXERCISE - 3|35 Videos
  • CURRENT ELECTRICITY

    NARAYNA|Exercise Level 6|43 Videos
  • DUAL NATURE

    NARAYNA|Exercise LEVEL-II (H.W)|17 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 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

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

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 xgt the de-Broglie wavelength is lambda_2 . Total energy of the partical is 2E_0. find (lambda_1)/(lambda_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

Two identical non-re,aticivistic particles move at right angle to each other. Possesing de Broglie wavelength lambda_(1) and lambda_(2) Find the Broglie wavelength of each particle in the frame of their centre of inertia.

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

If lambda_(1) and lambda_(2) denote the wavelength of de-broglie waves for electron in Bohr's first and second orbits in the hydrogen atom, then lambda_(1)//lambda_(2) will be

NARAYNA-DUAL NATURE OF RADIATION AND MATTER-EXERCISE - 4
  1. A source of light is placed above a sphere of radius 10cm. How many ph...

    Text Solution

    |

  2. From the above figure the values of stopping potentials for M(1) and M...

    Text Solution

    |

  3. For certain photosensitive material, a stopping potential of 3.0 V is ...

    Text Solution

    |

  4. Light of wavelength 180 nm ejects photoelectrons from a plate of met...

    Text Solution

    |

  5. Light described at a place by the equation E = (100V//m) xx [sin (5 xx...

    Text Solution

    |

  6. The electric field associated with a light wave is given by E=E(0)sin[...

    Text Solution

    |

  7. An electron of mass m and charge e initially at rest gets accelerated ...

    Text Solution

    |

  8. A praticle of mass M at rest decays into two particle of masses m1 and...

    Text Solution

    |

  9. A photon and an electron have equal energy E . lambda("photon")//lambd...

    Text Solution

    |

  10. When a monochromatic point source of light is at a distance of 0.2 m...

    Text Solution

    |

  11. An X-ray tube is operated at 50 kV and 20 m A. The target material of ...

    Text Solution

    |

  12. The potential energy of a particle of mass m is given by V(x) = E0 w...

    Text Solution

    |

  13. According to Einstein's photoelectric equation , the graph between the...

    Text Solution

    |

  14. Which of the following figure represents the variation of particle mom...

    Text Solution

    |

  15. The de Broglie wave present in fifth Bohr orbit is:

    Text Solution

    |

  16. The graph shown in figure show the variation of photoelectric current ...

    Text Solution

    |

  17. The anode voltage of photocellis kept fixed. The wavelength lambda of ...

    Text Solution

    |

  18. The two lines A and B shown in figure are the graphs of the de Broglie...

    Text Solution

    |

  19. A graph regarding photoelectric effect is shwon between the maximum ki...

    Text Solution

    |

  20. Name the experiment for which the adjacent graph, showing the variatio...

    Text Solution

    |