A Levels Physics (9702)•9702/11/M/J/21

Explanation
Electric field from proton's acceleration Steps:
- The force due to the electric field is F = qE, where q = 1.6 × 10^{-19} C is the proton charge.
- This force causes acceleration, so F = ma, where m = 1.6 × 10^{-27} kg is the proton mass (approximate) and a = 2.0 × 10^9 m/s².
- Set equal: qE = ma.
- Solve: E = ma / q = (1.6 × 10^{-27} × 2.0 × 10^9) / 1.6 × 10^{-19} = 20 V/m. Why D is correct:
- It matches E = ma/q using standard proton properties and the given acceleration. Why the others are wrong:
- A underestimates by factor of ~18 (ignores full mass or acceleration scale).
- B underestimates by factor of ~4 (partial miscalculation of ma).
- C underestimates by factor of 2 (halves the force term). Final answer: D
Topic: Uniform electric fields
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