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).

Answer 1

Given v = 2.85 × 10⁸ ms^–1

m_p = 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]