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Q.

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
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