Question

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

• A. $zero$
• B. $<h/44$
• C. $>h/4\pi$
• D. $infinite$

Answer 1

The correct option is D $infinite$

According to Heisenberg's Uncertainty Principle, it is impossible to measure position $x$ and momentum $p$ simultaneously.
Use $\Delta x\Delta p⩾h/4\pi$
as $\Delta x\to 0,\Delta p\to \infty$
Here, neither uncertainty can be zero and if the position is zero the uncertainty in momentum becomes infinite.
So, option D is correct.