Home
Class 12
CHEMISTRY
If uncertainty in position and momentum ...

If uncertainty in position and momentum are equal, then uncertainty in velocity is :

A

`(1)/(2m)sqrt((h)/(pi))`

B

`sqrt((h)/(2pi))`

C

`(1)/(m)sqrt((h)/(pi))`

D

`sqrt((h)/(pi))`

Text Solution

Verified by Experts

The correct Answer is:
A
We know `Deltap. Deltax ge (h)/(4pi)`
since `Delta p=Delta x` (given)
`therefore Delta p. Deltap=(h)/(4pi)`
or `mDeltav. mDelta v-=(h)/(4pi)[therefore Deltap=m Delta v]`
or `(Delta v)^(2)=(h)/(4pi m^(2))`
or` Delta v=sqrt((h)/(4pi m^(2)))=(1)/(2m) sqrt((h)/(pi))`
Thus option (a) is the correct option.
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

It is not possible to determine preciselt both the position and momentum (or velocity) of a small moving particle such as electron, proton etc. This is known as Heisenber uncertainty principle. The mathemactical form of this principle is : Delta x.Delta p ge (h)/(4pi) (constant) However this principle is irrevalent in case of bigger particles such as a cup, ball, car etc., that we come across in our daily life. If uncertainty in position and momentum are equal, the v uncertainty in velocity would be

If uncertainties in position and momentum are equal , the uncertainty of velocity is given by :

Werner Heisenberg considered the limits of how precisely we can measure the properties of an electron or other microscopic particle. He determined that there is a fundamental limit to how closely we can measure both position and momentum. The more accurately we measure the momentum of a particle, the less accurately we can determine its position. The converse also true. This is summed up in what we now call the Heisenberg uncertainty principle. The equation si deltax.delta (mv)ge(h)/(4pi) The uncertainty in the position or in the momentum of a marcroscopic object like a baseball is too small to observe. However, the mass of microscopic object such as an electon is small enough for the uncertainty to be relatively large and significant. If the uncertainties in position and momentum are equal, the uncertainty in the velocity is :

Werner Heisenberg considered the limits of how precisely we can measure the properties of an electron or other microscopic particle. He determined that there is a fundamental limit to how closely we can measure both position and momentum. The more accurately we measure the momentum of a particle, the less accurately we can determine its position. The converse is also true. this is summed up in what we now call the Heisenberg uncertainty principal. The equation is Deltax.Delta(mv) ge (h)/(4pi) The uncertainty is the position or in the momentum of a macroscopic object like a baseball is too small to observe. However, the mass of microscopic object such as an electron is small enough for the uncertainty to be relatively large and significant. If the uncertainties in position and momentum are equal, the uncertainty in the velocity is:

If uncertainty in position are velocity are equal the uncertainty in momentum will be

If uncertainties in the measurement of position and momentum are equal, then uncertainty in the measurement of velocity is

A german physicist gae a principle about the uncertainties in simultaneous measurement of position and momentum of small particles. According to that physicist. It is impossible to measure simultaneously the position and momentum of small particle with absolute accuracy or certainty. if an attempt is made to measure any one of these two quantities with higher accuracy, the other becomes less accurate. The produce of the uncertainty in position (Deltax) and uncertainty momentum (Delta p) is always constant and is equal to or greater than h//4pi , where h is Planck's constant i.e. (Deltax ) (Deltap) ge (h)/(4pi) If uncertainty in momentum is twice the uncertainty in position of an electron then uncertainty in velocity is: [bar(h)=(h)/(2pi)]

Calculate the uncertainty in the position of an electron if the uncertainty in its velocity is 5.77xx10^(5) m s^(-1) .

DISHA-STRUCTURE OF ATOM-MCQS
  1. The wavelength associated with a golf ball weighing 200 g and moving a...

    Text Solution

    |

  2. Given that the abundances of isotopes ""^(54)Fe, ""^(56)Fe and ""^(57)...

    Text Solution

    |

  3. Based on the equation : Delta E=-2.0xx10^(-18)J ((1)/(n(2)^(2))-(1)/...

    Text Solution

    |

  4. If uncertainty in position and momentum are equal, then uncertainty in...

    Text Solution

    |

  5. The radius of an atomic nucleus is of the order of :

    Text Solution

    |

  6. In Cu. (At. No. 29)

    Text Solution

    |

  7. The correct order of increasing energy of atomic orbitals is

    Text Solution

    |

  8. What does negative sign in the electronic energy forhydrogen atom conv...

    Text Solution

    |

  9. If the nitrogen atom had electronic configuration 1 s^(7) it would hav...

    Text Solution

    |

  10. If n=6, the correct sequence for filling of electrons will be :

    Text Solution

    |

  11. What is the expression of frequency (v) associated with absorption spe...

    Text Solution

    |

  12. Chlorine exists in two isotopic forms, CI-37 and CI-35 but its atomic ...

    Text Solution

    |

  13. If m and e are the mass and charge of the revolving electron in the or...

    Text Solution

    |

  14. An electron, e(1) is moving in the fifth stationary state, and another...

    Text Solution

    |

  15. The correct set of four quantum numbers for the valenuce electons of r...

    Text Solution

    |

  16. Among species H, Li^(2+), He^(+), Be^(3+) and AI^(3+) Bohr's model was...

    Text Solution

    |

  17. The radius of which of the following orbit is same as that of the firs...

    Text Solution

    |

  18. The average life of an excited state of hydrogen atom is of the order ...

    Text Solution

    |

  19. If the kinetic energy of an electron is increased four time the wavele...

    Text Solution

    |

  20. If the radius of first orbit of H-atom is a(0), then de-Broglie wavele...

    Text Solution

    |