wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

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

A
zero
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
infinite
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
h2π
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B infinite

According to Heisenberg's uncertainty principle, both position and momentum of an electron cannot be determined simultaneously.

Mathematically,

Δp×Δxh4π
Since the uncertainty in the position of the electron is zero, Δx = 0

Hence, for an electron
Δp×0 h4π
Δp = h4π× 0=
[Since anything divided by zero is infinite]

Therefore, the uncertainty in its momentum, (Δp) should be indeterminate (infinite).


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Heisenberg's Uncertainty Principle
CHEMISTRY
Watch in App
Join BYJU'S Learning Program
CrossIcon