Question

If uncertainty in position and velocity are equal, then uncertainty in momentum will be

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

$\Delta x.\Delta p=\frac{h}{4\pi }or\Delta x\Delta v=\frac{h}{4\pi m},\Delta x=\Delta v,then\Delta v^2=\frac{h}{4\pi m}.\Delta v=(\frac{h}{4\pi m}{)}^{\frac{1}{2}}=\frac{1}{2}(\frac{mh}{\pi })$