A proton and an electron have the same kinetic energy. If $m_{p}$ = 1849 $m_{e}$ , the ratio $\lambda_{p}$ : $\lambda_{e}$ is:
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Question

A proton and an electron have the same kinetic energy. If m p m_{p} m p ​ = 1849 m e m_{e} m e ​ , the ratio λ p \lambda_{p} λ p ​ : λ e \lambda_{e} λ e ​ is:

G1 Physics · Accepted Answer

For equal kinetic energy, λ = h/√(2mK), so λ ∝ 1/√m. λ(p)/λ(e) = √[m(e)/m(p)] = 1/√1849 = 1/43. Thus λ(p):λ(e) = 1:43.

A proton and an electron have the same kinetic energy. If m p m_{p} m p ​ = 1849 m e m_{e} m e ​ , the ratio λ p \lambda_{p} λ p ​ : λ e \lambda_{e} λ e ​ is:

A proton and an electron have the same kinetic energy. If m p m_{p} m p = 1849 m e m_{e} m e , the ratio λ p \lambda_{p} λ p : λ e \lambda_{e} λ e is: