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If the uncertainty in the position of a...

If the uncertainty in the position of an electron is zero the uncertainty in its momentum be

A

`lt (h)/(4pi)`

B

`gt(h)/(4pi)`

C

Zero

D

infinity

Text Solution

Verified by Experts

The correct Answer is:
D
`Delta x xx Delta p ge h..4pi`
If `Delta x = 0 ` then `Delta p` will be unifinite
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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 the uncertainty in position of the electron is zero, the uncertainty in its momentum would be

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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 :

What will be the uncertainty in velocity of an electron when the uncertainty in its position is 1000 Å?

CENGAGE CHEMISTRY ENGLISH-ATOMIC STRUCTURE-Concept Applicationexercise(4.2)
  1. The uncertainty in the position of a buller weight 20 g is +- 10^(-4) ...

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  2. Using Bohr's model , calculate the wavelength of the radiation emitt...

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  3. What is the maximum number of emission lines when the excited electron...

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  4. Calculate the radius of bohr's third orbit in hydrogen atom.

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  5. The energy associatied with the first orbit in the hydrogen atom is -...

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  6. What transition in the hydrogen spectrum would have the same wavelengt...

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  7. Calculate the energy required for the process He^(+)(g) to He^(2+) ...

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  8. Explain why the uncertainty principle goes insignificant when applied ...

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  9. What is the minimum product of the uncertainty in position and the ...

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  10. Why can't we evercome the uncertainty predicted by hesisenherg prin...

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  11. A single electron orbit around a stationary nucleus of charge + Ze whe...

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  12. Calculate the energy emitted when electrons of 1.0 g of hydrogen unde...

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  13. An electron in the third energy level of an excited He^(o+) ion retur...

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  14. The ratio of energy of photon of lambda = 2000 Å to that of lambda = 4...

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  15. Bohr's model can explain

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  16. The wave number of the first Balmer line Li^(2+) ion is 136800 cm^(-1...

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  17. If the uncertainty in the position of an electron is zero the uncerta...

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  18. If travelling at same speeds, whichof the following mater waves have t...

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  19. Which of the following postutates does not belong to Bohr's model o...

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  20. The Lyman series of the hydrogen spectrum can be represented by the e...

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