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If the uncertainty in the position of a...

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

A

zero

B

greater than h/4 `pi`

C

less than h/ 4 `pi`

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • 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 the position of an electron is zero, the uncertainty in its momentum would be

    A
    zero
    B
    `lt h//4pi`
    C
    `gt h//4pi`
    D
    Infinite
  • If uncertainty is position of an electron is zero, the uncertainty in its momentum would be

    A
    zero
    B
    `h/2pi`
    C
    `h/4pi`
    D
    infinity
  • 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 the uncertainty in position of the electron is zero, the uncertainty in its momentum would be

    A
    zero
    B
    greater than `h//4pi`
    C
    less than `h//4pi`
    D
    infinite.
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