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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 :
Option: 1 1:2
Option: 2 10:7
Option: 3 2:1
Option: 4 5:7

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\begin{aligned} &K.E=q V\\ &K.E=\frac{1}{2} m v^{2}=q V\\ &\Rightarrow \quad v=\sqrt{\frac{2 q V}{m}}\\& \text{As Voltage (V) is same for both} \\ & v \propto \sqrt{\frac{q}{m}} \\ &\Rightarrow \frac{v_{H}}{v_{\text {He }}}=\frac{\sqrt{\frac{e}{m}}}{\sqrt{\frac{e}{4 m}}}=\frac{2}{1} \end{aligned}

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