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Question
Protons can be accelerated in particle accelerators. Calculate the wavelength (in Å) of such accelerated proton moving at 2.85 × 108 ms−1 (the mass of proton is 1.673 × 10−27 Kg).
Solution
Given v = 2.85 × 108 ms–1
mp = 1.673 × 10–27 Kg
λ = `"h"/"mv"`
= `(6.626 xx 10^-34 "kgm"^2 "s"^-1)/(1.673 xx 10^-27 "kg" xx 2.85 xx 10^8 "ms"^-1)`
λ = 1.389 × 10–15
λ = 1.389 × 10–15 Å ......[∵ 1 Å = 10–10 m]
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