A proton and an α -particles are accelerated through the same potential difference. The ratio of de Broglie wavelength of proton to that of α -particle will be

Question

A proton and an α -particles are accelerated through the same potential difference. The ratio of de Broglie wavelength of proton to that of α -particle will be, 2:1, 1:1, 1:2, 2 2 : 1

MARKS App · Accepted Answer

λ = h 2 × m × K . E . λ p = h 2 m p e V λ α = h 2 m α 2 e V = h 2 ( 4 m p ) 2 e V λ p λ α = 8 = 2 2

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