A proton and an alpha particle are accelerated to the same potential. Their de-broglie wavelengths are in the ratio of
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As alpha particles contain 2 proton and 2 neutrons it's mass number is 4
And by the relation of de broglie wavelength we know that mass is directly proportional so the ratio will be 1:4 for proton:alpha paricle ratio
Hope you get the answer
For the formula of de broglie wavelength refer your school book
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