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If the uncertainties in the measuremen...

If the uncertainties in the measurement of position and momentum of an electron are equal, calculate the uncertainty in measuring the velocity.

A

`sqrt h/(pi)`

B

`h/(2pi)`

C

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

D

None fo these

Text Solution

Verified by Experts

The correct Answer is:
C
Given `Delta p = Delta x ` alos `Delta x. Delta p = h/(4pi)`
`Delta p 1/2 sqrt h/(pi)`
pr m. `Delta u = 1/2 sqrt h/(pi)`
pr `Delta u = 1/(2 m) sqrt h/(pi)`.
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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 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:

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 :

P BAHADUR-ATOMIC STRUCTURE-Exercise 3A
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  5. If the shortest wavelength of H-atom in Lyman series is x, then longes...

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  9. How many electron in an atom with atomic number 105 can have (n + l)...

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  12. Which sub-shell has maximum energy (poly-elecronic system ) :

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  13. When greater number of excited hydrogen atoms reach the ground state :

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  17. The ratio of kinetic energy and potential energy of an electrron in an...

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  18. The angular momentum of elerctro of H-atom is proprtional to :

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  19. The total number of electron is 1. g CH4 are :

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  20. The probability of finding elercrtron at a distance r form the nucleus...

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