Final answer:
The potential difference needed to accelerate an electron from rest to a speed of 1.1×10⁶ m/s is approximately 290 mV.
Step-by-step explanation:
To calculate the potential difference needed to accelerate an electron from rest to a speed of 1.1×10⁶ m/s, we can use the formula:
V = (1/2)mv²/q
where V is the potential difference, m is the mass of the electron, v is its final velocity, and q is its charge.
Plugging in the values, we get:
V = (1/2)(9.11 × 10⁻³¹ kg)(1.1 × 10⁶ m/s) / (-1.60 × 10⁻¹⁹ C)
Solving this equation, we find that the potential difference needed is approximately 290 mV.