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Which of the following species has maxim...

Which of the following species has maximum charge to mass ratio?

A

`D^+`

B

`H^+`

C

`He^+`

D

`He^(2+)`

Text Solution

AI Generated Solution

The correct Answer is:
To find out which species has the maximum charge to mass ratio, we will calculate the charge to mass ratio (e/m) for each of the given species: D⁺, H⁺, He⁺, and He²⁺. ### Step-by-Step Solution: 1. **Identify the Charges and Masses:** - D⁺ (Deuterium): Charge = +1, Mass = 2 (amu) - H⁺ (Hydrogen): Charge = +1, Mass = 1 (amu) - He⁺ (Helium): Charge = +1, Mass = 4 (amu) - He²⁺ (Helium ion with +2 charge): Charge = +2, Mass = 4 (amu) 2. **Calculate Charge to Mass Ratio for Each Species:** - For D⁺: \[ \text{Charge to Mass Ratio} = \frac{Charge}{Mass} = \frac{1}{2} = 0.5 \] - For H⁺: \[ \text{Charge to Mass Ratio} = \frac{Charge}{Mass} = \frac{1}{1} = 1 \] - For He⁺: \[ \text{Charge to Mass Ratio} = \frac{Charge}{Mass} = \frac{1}{4} = 0.25 \] - For He²⁺: \[ \text{Charge to Mass Ratio} = \frac{Charge}{Mass} = \frac{2}{4} = 0.5 \] 3. **Compare the Charge to Mass Ratios:** - D⁺: 0.5 - H⁺: 1 - He⁺: 0.25 - He²⁺: 0.5 4. **Determine the Maximum Charge to Mass Ratio:** - The highest value among the calculated ratios is for H⁺, which is 1. ### Conclusion: The species with the maximum charge to mass ratio is **H⁺**.
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