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Question:

Calculate the wavelength (in nanometer) associated with a proton moving at 1.0 × 10³ ms⁻¹. (Mass of proton = 1.67 × 10⁻²⁷ kg and h = 6.63 × 10⁻³⁴ Js)

0.40nm

0.032nm

2.5nm

14.0nm

Solution:

Wavelength of a moving particle is calculated using De Broglie equation:
λ = h/mv = 6.63 × 10⁻³⁴ / (1.67 × 10⁻²⁷ × 1 × 10³) = 0.40 × 10⁻¹⁰ m = 0.40nm