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Assertion (A) : The position of electron...

Assertion (A) : The position of electron can be determined with the help of an electronic microscope.
Reason (R) : The product of uncertainty in momentum and the uncertainty in the position of an electron cannot be less than a finite limit.

A

If both assertion and reason are true and the reason is the correct explanation of the assertion.

B

If both assertion and reason are true but reason is not the correct explanation of the assertion.

C

If assertion is true but reason is false.

D

If assertion is false but reason is true.

Text Solution

Verified by Experts

The correct Answer is:
D
The assertion is false but the reason is true. Exact position and exact momentum of an electron can never be determined as according to Heisenberg uncertainty principle even with the help of electron microscope because when `e^(-)` beam of electron microscope strikes the target `e^(-)` of atom, the impact causes the change in velocity of `e^(-)` thus attempt to locate the `e^(-)` changes ultimately, the momentum & position of `e^(-)`.
`Deltax.Deltapgeh/(4pi)~~0.57ergssec//g`.
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Knowledge Check

  • If uncertainty in momentum is twice the uncertainty in position of an electron then uncertainty in velocity is (h=(h)/(2pi)) :

    A
    `(1)/(2m)sqrt(h)`
    B
    `(h)/(4pim)`
    C
    `(1)/(4m)sqrt(h)`
    D
    `(1)/(m)sqrt(h)`

  • In which of the following, the porduct of uncertainty in velocity and uncertainty in position of a microparticle of mass m is less than

    A
    `hxx(3pi)/(m)`
    B
    `(h)/(3pi)xxm`
    C
    `(h)/(4pi)xx(1)/(m)`
    D
    `(h)/(4 pi) xxm`

  • If uncertainty in position of electron is zero then uncertainty its momentum would be

    A
    0
    B
    `h//2pi`
    C
    `h//4pi`
    D
    infinity.