Question

An electron is moving with speed of 1 m/s at distance of 1 m from a large sheet of charge with density σ C/m2 . Find maximum value of σ such that electron hit the sheet after 1 sec. (mass of electron 9 × 10–31 kg, permittivity of free space ε0 = 9 × 10–12 C2 /Nm2)

Options :

  1. 4.05 × 10–22 C/m2

  2. 8.10 × 10–22 C/m2

  3. 4.05 × 1024 C/m2

  4. 2.02 × 10–20 C/m2

Show Answer

Answer :

4.05 × 10–22 C/m2

Solution :

For maximum value of σ, initially, electron must move away from plate.

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