Uncertainty in position of a particle of 25 g in space is $10^{- 5}m$. Hence, uncertainty in velocity $\left( ms^{- 1} ight)$ is (Planck’s constant $h = 6.6 imes 10^{- 34}Js$)

Question

Uncertainty in position of a particle of 25 g in space is $10^{- 5}m$. Hence, uncertainty in velocity $\left( ms^{- 1} ight)$ is (Planck’s constant $h = 6.6 	imes 10^{- 34}Js$)

Dr. Abubacker · Accepted Answer

(a)
$\mathrm{\Delta}x.\mathrm{\Delta}v \geq \frac{h}{4\pi m}$
$\mathrm{\Delta}x \geq \frac{6.62 	imes 10^{- 34}}{4 	imes 3.14 	imes 25 	imes 10^{- 3} 	imes 10^{- 5}}$
$\ \ \ \ \ \ \ \ \ \ \ \  = 2.10 	imes 10^{- 28}m$

Q. Uncertainty in position of a particle of 25 g in space is $10^{- 5}m$. Hence, uncertainty in velocity $\left( ms^{- 1} \right)$ is (Planck’s constant $h = 6.6 \times 10^{- 34}Js$)

Explanation

Reviewed by Dr. Abubacker

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