If the uncertainty in the position of a moving electron is equal to its de Broglie wavelength, then its velocity will be completely uncertain. Explain.

Explanation

Here, we are given that `Delta x = lamda`
By de-Brogile equation, `lamda = (h)/(p) or p = (h)/(lamda) = (h)/(Delta x) or Delta x = (h)/(p)`
By uncertainty principle,
`Deltax. Delta p ge (h)/(4pi) :. (h)/(p). Delta p. ge (h)/(4pi) or (Deltap)/(p) ge (1)/(4pi) or (m Deltav)/(mv) ge (1)/(4pi) or (Delta v)/(v) ge (1)/(4pi) or Delta v ge (v)/(4pi)`
Thus, uncertainty in velocity is so large that its velocity is uncertain