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Characteristics of Bohr's Atomic Model

Double ionise...

Question

Double ionised helium atom and hydrogen ions are accelerated from rest , through the same potential difference . The ratio of final velocity of helium and hydrogen is
Correct option is 1:2^-1/2

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Solution

mv² = eV, or, V = (2eV/m)^1/2

the mass of helium ion is four times that of hydrogen ion.

Further, the charge on helium ion is twice that of hydrogen ion.

v_He/v_H = sqrt 2

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