Question:
Which has the highest $e/m$ ratio?
Which has the highest $e/m$ ratio?
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Which has the highest $e/m$ ratio?
Updated On: Apr 15, 2026
- $He^{2+}$
- $H^{+}$
- $He^{+}$
- $D^{+}$
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Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Concept
$e/m$ ratio represents the charge-to-mass ratio of a particle.
Step 2: Calculation for each
- **$He^{2+}$**: Charge $= +2$, Mass $\approx 4$ amu. Ratio $= 2/4 = 0.5$. - **$H^{+}$**: Charge $= +1$, Mass $\approx 1$ amu. Ratio $= 1/1 = 1.0$. - **$He^{+}$**: Charge $= +1$, Mass $\approx 4$ amu. Ratio $= 1/4 = 0.25$. - **$D^{+}$** (Deuterium): Charge $= +1$, Mass $\approx 2$ amu. Ratio $= 1/2 = 0.5$.
Step 3: Conclusion
The $e/m$ ratio is highest for the proton ($H^+$).
Final Answer: (B)
$e/m$ ratio represents the charge-to-mass ratio of a particle.
Step 2: Calculation for each
- **$He^{2+}$**: Charge $= +2$, Mass $\approx 4$ amu. Ratio $= 2/4 = 0.5$. - **$H^{+}$**: Charge $= +1$, Mass $\approx 1$ amu. Ratio $= 1/1 = 1.0$. - **$He^{+}$**: Charge $= +1$, Mass $\approx 4$ amu. Ratio $= 1/4 = 0.25$. - **$D^{+}$** (Deuterium): Charge $= +1$, Mass $\approx 2$ amu. Ratio $= 1/2 = 0.5$.
Step 3: Conclusion
The $e/m$ ratio is highest for the proton ($H^+$).
Final Answer: (B)
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