Hydrogen ion and singly ionized helium atom are accelerated, from rest, through the same potential difference. The ratio of final speeds of hydrogen and helium ions is close to :
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a
5 : 7
b
2 : 1
c
10 : 7
d
1 : 2
answer is B.
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Detailed Solution
Gain in Kinetic energy =Loss in potential energy⇒12mv2=qΔV⇒v=2qΔvm⇒v ∝ qm⇒v 1v 2= q1m2q2m1⇒v 1v 2= q 4mqm∴v1v2=21