Highest q/m ratio is for:

Options

A. `He^(2+)`
B. `H^(+)`
C. `He^(+)`
D. H

Answer

To determine which particle has the highest mass-to-charge (q/m) ratio, we will calculate the q/m ratio for each of the given ions: Helium 2+ (He²⁺), Hydrogen+ (H⁺), Helium+ (He⁺), and Hydrogen (neutral H).

### Step-by-Step Solution:

1. **Calculate the q/m ratio for Helium 2+ (He²⁺)**:
- Mass of He²⁺ = 4 u (atomic mass unit)
- Charge of He²⁺ = +2e (where e is the charge of an electron)
- q/m ratio = Charge / Mass = 2e / 4u = 0.5 e/u

2. **Calculate the q/m ratio for Hydrogen+ (H⁺)**:
- Mass of H⁺ = 1 u
- Charge of H⁺ = +1e
- q/m ratio = Charge / Mass = 1e / 1u = 1 e/u

3. **Calculate the q/m ratio for Helium+ (He⁺)**:
- Mass of He⁺ = 4 u
- Charge of He⁺ = +1e
- q/m ratio = Charge / Mass = 1e / 4u = 0.25 e/u

4. **Calculate the q/m ratio for neutral Hydrogen (H)**:
- Mass of neutral H = 1 u
- Charge of neutral H = 0
- q/m ratio = Charge / Mass = 0 / 1u = 0 e/u

5. **Compare the q/m ratios**:
- He²⁺: 0.5 e/u
- H⁺: 1 e/u
- He⁺: 0.25 e/u
- Neutral H: 0 e/u

6. **Determine the highest q/m ratio**:
- The highest q/m ratio is for H⁺, which is 1 e/u.

### Conclusion:
The particle with the highest q/m ratio is **Hydrogen+ (H⁺)**.

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