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Question: The uncertainty in position for an electron is \(\frac{\lambda}{4\pi}\) where l is the de Broglie wa...

The uncertainty in position for an electron is λ4π\frac{\lambda}{4\pi} where l is the de Broglie wavelength. The uncertainty in velocity will be–

A

V2\frac{V}{2}

B

V

C

3V

D

V4\frac{V}{4}

Answer

V

Explanation

Solution

Dx × DP ≥ h4π\frac{h}{4\pi}

Ž λ4π\frac{\lambda}{4\pi} × m × Dv ≥ h4π\frac{h}{4\pi}

Ž hmv\frac{h}{mv}× m × Dv ≥ h

Ž Dv = v