NCERT Class XI Chemistry Structure of Atom Solutions
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Question : 61
Total: 67
If the position of the electron is measured within an accuracy of ± 0.002 nm, calculate the uncertainty in the momentum of the electron. Suppose the momentum of the electron is
, is there any problem in defining this value.
Solution:
According to uncertainty principle, Δx Δp =
where, Δx = ± 0.002 nm = ± 0.002 ×10 – 9 m , Δp = ? ∴ Δp =
=
= 2.63 × 10 − 23 k g m ∕ s e c
Actual momentum =
.
=
= 1.05 × 10 − 24 k g m ∕ s
This value cannot be defined as the actual magnitude of the momentum is smaller than the uncertainty in momentum, which is impossible.
where, Δx = ± 0.002 nm = ± 0.002 ×
Actual momentum =
This value cannot be defined as the actual magnitude of the momentum is smaller than the uncertainty in momentum, which is impossible.
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