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

0.032 nm

0.40 nm

2.5 nm

14.0 nm

Solution

0.40 nm

straight lambda space equals space straight h over mv space equals space fraction numerator 6.63 space straight x space 10 to the power of negative 34 end exponent over denominator 1.67 space straight x space 10 to the power of negative 27 end exponent space straight x space 10 cubed end fraction space identical to 0.40 space nm

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