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>>Towards Quantum Mechanical Model of Atom
>> $A microscope using suitable photons is e$

Question

A microscope using suitable photons is employed to locate an electron in an atom within the distance of $0.1^{o} A$ .

What is the Uncertainty involved in the measurement of its velocity?

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$Δ x . Δ p \geq \frac{h}{4 π}$ , $Δ p = m Δ v$ ,

$Δ v = \frac{Δ p}{m}$

$∴ Δ v \geq \frac{h}{4 π m Δ x}$

$\Rightarrow Δ v \geq \frac{6 . 6 2 6 \times 1 0 ^{- 34}}{4 \times 3 . 1 4 \times 9 . 1 1 \times 1 0 ^{- 31} \times 0 . 1 \times 1 0 ^{- 10}}$

$\Rightarrow Δ v \geq 5.79 \times 1 0^{6} m / s$

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