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ExamsJEE MainPhysics

An electron gun has a potential difference of 3000 V between its filament and plate. What speed will an electron acquire as it leaves the gun?

  1. 3 × 10⁸ m/s
  2. 3.18 × 10⁷ m/s
  3. 3.52 × 10⁷ m/s
  4. 3.26 × 10⁷ m/s

Correct answer: 3.26 × 10⁷ m/s

Solution

v = sqrt(2eV/m) = sqrt(2 * 1.6e-19 * 3000 / 9.11e-31) = 3.25 x 10^7 m/s, which matches 3.26 x 10^7 m/s.

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