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JEE Main 2020 (3 Sep, Shift 2) · Quantum Numbers, X-rays & Other Questions

Quantum Numbers, X-rays & Other Questions question from JEE Main 2020 (3 Sep, Shift 2)

Q7JEE Main 2020 · 3 SEP · SHIFT 2Medium

Quantum Numbers, X-rays & Other Questions

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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Answer: (a)

$qV = \frac{1}{2}mv^2 \Rightarrow v = \sqrt{\frac{2qV}{m}}$
Both ions have charge $e$ ; $m_{He} \approx 4m_H$
$\frac{v_H}{v_{He}} = \sqrt{\frac{m_{He}}{m_H}} = \sqrt{4} = 2$
So the answer is (a) 2 : 1.

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