An electron enters a region with a uniform electric field of 10³ N/C at an angle of 45° to the field. The component of acceleration parallel to the field is:
Correct answer: C. 1.24 × 10¹⁴ m/s²
- A. 8.8 × 10¹³ m/s²
- B. 1.76 × 10¹⁴ m/s²
- C. 1.24 × 10¹⁴ m/s²
- D. Zero
Explanation
Acceleration is a = qE cosθ/m. For an electron (q = 1.6 × 10⁻¹⁹ C, m = 9.1 × 10⁻³¹ kg), E = 10³ N/C, θ = 45°, a = (1.6 × 10⁻¹⁹)(10³) (√2/2)/(9.1 × 10⁻³¹) ≈ 1.24 × 10¹⁴ m/s².
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