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Charged plates X and Y have a potential difference 1.5 V between them - AQA - A-Level Physics - Question 22 - 2019 - Paper 1

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Charged plates X and Y have a potential difference 1.5 V between them. Which particle gains 3.0 eV of kinetic energy when moving from Y to X? A proton B positron C... show full transcript

Worked Solution & Example Answer:Charged plates X and Y have a potential difference 1.5 V between them - AQA - A-Level Physics - Question 22 - 2019 - Paper 1

Step 1

Identify the Potential Difference

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Answer

The potential difference between plates X and Y is given as 1.5 V. This means that when a particle moves from Y (+1.5 V) to X (0 V), it experiences a change in potential energy.

Step 2

Calculate Potential Energy Change

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Answer

The change in potential energy (ΔPE) when moving from Y to X can be calculated using the formula:

extΔPE=qimesV ext{ΔPE} = q imes V

where q is the charge of the particle and V is the voltage difference. The total energy gained by the particle moving from higher potential (Y) to lower potential (X) will correspond to the kinetic energy gained.

Step 3

Determine the Relevant Particle

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Answer

To find which particle gains 3.0 eV of kinetic energy, we need to look at the charges of the options:

  1. Proton (q = +1 e):
    • Change in energy: 1.5exteV×1=1.5exteV1.5 ext{ eV} × 1 = 1.5 ext{ eV}
  2. Positron (q = +1 e):
    • Change in energy: 1.5exteV×1=1.5exteV1.5 ext{ eV} × 1 = 1.5 ext{ eV}
  3. Electron (q = -1 e):
    • Change in energy: 1.5exteV×(1)=1.5exteV1.5 ext{ eV} × (-1) = -1.5 ext{ eV} (gains energy when moving towards Y)
  4. Alpha Particle (q = +2 e):
    • Change in energy: 1.5exteV×2=3.0exteV1.5 ext{ eV} × 2 = 3.0 ext{ eV}

Among these, the alpha particle gains 3.0 eV when moving from Y to X.

Step 4

Conclusion

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Answer

Thus, the correct answer is: D alpha particle.

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