Home
Class 12
CHEMISTRY
If uncertainty in position is twice the ...

If uncertainty in position is twice the uncertainty in momentum then uncertainty in velocity is

A

`[(1/m) {sqrt(h/pi}]`

B

`[(1/m) {sqrt(h/8pi}]`

C

`[(1/m) {sqrt(h/4pi}]`

D

`[(1/m) {sqrt(8 pi/ h}]`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TEST 6

    AAKASH INSTITUTE ENGLISH|Exercise EXAMPLE|348 Videos

  • TEST 9

    AAKASH INSTITUTE ENGLISH|Exercise EXAMPLE|89 Videos

Similar Questions

Explore conceptually related problems

What is the minimum product of the uncertainty in position and the uncertainty in momentum of a moving electron ?

if uncertainty in momentum is twice the uncertainty in position of an electron, then uncertainty in velocity of electron is [ħ=l/(2pi)]

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

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 :

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

It is not possible to determine precisely both the position and momentum (or velocity) of a small moving particle such as electron, proton etc. This is known as Heisenberg uncertainty principle. The mathematical form of this principle is : Delta x.Delta p ge (h)/(4pi) (constant) However this principle is irrelevant 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 uncertainty in position and momentum are equal then uncertainty in velocity is.

Uncertainty in position of a particle of 25g in space is 10^(8)m Hence uncertainty in velocity (ms^(-1)) is (Planck's constant h=6.6xx10^(-34)Js )

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 uncertainty in velocity and position is same, then the uncertainty in momentum will be :

Aphoton of energy 4.5 eV strikes on a metal surface of work function 3.0 eV. If uncertainty in position is (25)/(4pi)Å, find the uncertainty in measurment of deBroglie wavelength (inÅ ).

AAKASH INSTITUTE ENGLISH-TEST 7-Exercise
  1. Volume occupied by 1 mole water (density = 1 g cm^-3 ) is

    Text Solution

    |

  2. Maximum number of orbitals in a subshell of a atom is determined by

    Text Solution

    |

  3. If uncertainty in position is twice the uncertainty in momentum then u...

    Text Solution

    |

  4. Which of the following ions is largest in size?

    Text Solution

    |

  5. Electron deficient species among the following is

    Text Solution

    |

  6. A certain gas takes four times as long as to out as to effuse helium. ...

    Text Solution

    |

  7. Four moles of an ideal gas expanded spontaneously in vacuum. The work ...

    Text Solution

    |

  8. If at 77°C, enthalpy of fusion of a compound is 140 kJ/mol then the en...

    Text Solution

    |

  9. (Kp/Kc) for the given equilibrium is [PCl5 (g) hArrPCl3(g) + Cl2 (g)]

    Text Solution

    |

  10. Which of the following equimolar aqueous solution of hydroxides will h...

    Text Solution

    |

  11. Compound which cannot act as a reducing agent is

    Text Solution

    |

  12. The volume of oxygen gas liberated at NTP from 30 mL of 20 (V H2O2), s...

    Text Solution

    |

  13. Among given ions, maximum mobility in aqueous solution is of

    Text Solution

    |

  14. Which of the following is a neutral oxide?

    Text Solution

    |

  15. Which amongst the following is the most stable carbocation?

    Text Solution

    |

  16. In case of bromination to benzene in the presence of FeBr3, the electr...

    Text Solution

    |

  17. The gas leaked from a storage tank of the Union Carbide plant in Bhopa...

    Text Solution

    |

  18. (3.011 x 10^23) molecules of sugar are present in 200 mL of its soluti...

    Text Solution

    |

  19. The orbital angular momentum of an electron which is present in p orbi...

    Text Solution

    |

  20. What is the maximum number of orbital(s) that can be associated with t...

    Text Solution

    |