Question

Determine ratio of de broglie wavelength of $α- particle$ and proton of same kinetic energy is

Answer 1

The Correct Answer is : $1:2$
$λ=\frac{h}{\sqrt2mE_k}$
$\frac{λ_α}{λ_p}=\sqrt{\frac{m_p}{m_α}}$
$=\sqrt{\frac{1}{4}}=\frac{1}{2}$