Calculate the wavelength (in nanometer) associated with a proton moving at 1.0 × 1 0 3 ms − 1 . (Mass of proton = 1.67 × 1 0 − 27 kg and h = 6.63 × 1 0 − 34 Js )

λ = m v h = 1.67 × 1 0 − 27 × 1 × 1 0 3 6.63 × 1 0 − 34 = 3.97 × 1 0 − 10 meter = 0.397 nanometer ≈ 0.40 nm

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ChemistryAtomic StructureHeisensberg's Uncertainty PrincipleMedium2 minPYQ_2021

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Calculate the wavelength (in nanometer) associated with a proton moving at $1.0 \times 1 0^{3} ms^{- 1}$ . (Mass of proton $= 1.67 \times 1 0^{- 27} kg$ and $h = 6.63 \times 1 0^{- 34} Js)$

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Solution:

$λ = \frac{h}{m v} = \frac{6.63 \times 1 0 ^{- 34}}{1.67 \times 1 0 ^{- 27} \times 1 \times 1 0 ^{3}} = 3.97 \times 1 0^{- 10} meter = 0.397 nanometer \approx 0.40 nm$

Stream:BITSATSubject:ChemistryTopic:Atomic StructureSubtopic:Heisensberg's Uncertainty Principle

⏱ 2mℹ️ Source: PYQ_2021

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