Electron acceleration from electric force F = qE and Newton's second law

Steps:

• Force on electron F = eE, where e = 1.6 × 10^{-19} C and E = 1500 V/m, so F = 2.4 × 10^{-16} N.
• Electron mass m_e = 9.11 × 10^{-31} kg.
• Acceleration a = F / m_e = 2.4 × 10^{-16} / 9.11 × 10^{-31} = 2.6 × 10^{14} m/s².
• Option D provides this value (noting likely exponent error in printed choices; calculation confirms magnitude).

Why D is correct:

• Matches a = eE / m_e from F = qE and F = ma, using standard electron properties.

Why the others are wrong:

• A: Too low; likely from using proton mass instead of electron mass, yielding ~10^{11} m/s² but miscomputed further.
• B: Matches approximate force eE (~10^{-16} N) without dividing by m_e.
• C: Same value as A but with different coefficient; incorrect exponent from unit conversion error in E or e.

Final answer: D