Uncertainty in the position of an electron $\left( mass = 9.1 imes 10^{- 31}kg ight)$ moving with a velocity 300 $ms^{- 1}$, accurate upon 0.001% will be $\left( h = 6.63 imes 10^{- 34}\ Js ight)$

Question

Uncertainty in the position of an electron $\left( mass = 9.1 	imes 10^{- 31}kg ight)$ moving with a velocity 300 $ms^{- 1}$, accurate upon 0.001% will be $\left( h = 6.63 	imes 10^{- 34}\ Js ight)$

Dr. Abubacker · Accepted Answer

(c)
$\mathrm{\Delta}x.\mathrm{\Delta}v \geq \frac{h}{4\pi m}$
$\mathrm{\Delta}x = \frac{6.63 	imes 10^{- 34}}{4 	imes 3.14 	imes 9.1 	imes 10^{- 31} 	imes 300 	imes 0.001 	imes 10^{- 2}}$
$\ \ \ \ \ \  = 0.01933$
$\ \ \ \ \ \  = 1.93 	imes 10^{- 2}$

Q. Uncertainty in the position of an electron $\left( mass = 9.1 \times 10^{- 31}kg \right)$ moving with a velocity 300 $ms^{- 1}$, accurate upon 0.001% will be $\left( h = 6.63 \times 10^{- 34}\ Js \right)$

Explanation

Reviewed by Dr. Abubacker

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