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Electric Charge and Field Physics Electric Charge and Field Physics Class 12th

An electron is moving with speed of 1 m/s at distance of 1 m from a large sheet of charge with density sC/m². Find maximum value ofs such that electron hit the sheet after 1 sec.

(mass of electron 9 × 10^–31 kg, permittivity of free space e₀ = 9 × 10^–12C²/Nm²)

Option 1 -

4.05 * 10^–22 C/m²

Option 2 -

8.1 * 10^–22 C/m²

Option 3 -

4.05 * 10²⁴ C/m²

Option 4 -

2.02 * 10^–20 C/m²

5 Views | Posted 4 days ago

Asked by Shiksha User

1 Answer

Answered by

alok kumar singh | Contributor-Level 10

4 days ago

Correct Option - 1

Detailed Solution:

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

ut + $\frac{1}{2}$ at² = s

t = 1u = 1m/s s = –1 m

1 × 1 – $\frac{1}{2}$ a × 1² = – 1

-> a = 4m/s²

$\frac{q E}{m} = 4$

$\frac{q σ}{2 ε_{0} m} = 4$

$σ = \frac{4 \times 2 \times 9 \times 1 0^{- 12} \times 9 \times 1 0^{- 31}}{1.6 \times 1 0^{- 19}}$

$= \frac{8 \times 81}{1.6} \times 1 0^{- 24}$

= 4.05 × 10^–22C/m²

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An electron is moving with speed of 1 m/s at distance of 1 m from a large sheet of charge with density sC/m². Find maximum value ofs such that electron hit the sheet after 1 sec.

(mass of electron 9 × 10^–31 kg, permittivity of free space e₀ = 9 × 10^–12C²/Nm²)

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An electron is moving with speed of 1 m/s at distance of 1 m from a large sheet of charge with density sC/m2. Find maximum value ofs such that electron hit the sheet after 1 sec. (mass of electron 9 × 10–31 kg, permittivity of free space e0 = 9 × 10–12C2/Nm2)

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An electron is moving with speed of 1 m/s at distance of 1 m from a large sheet of charge with density sC/m². Find maximum value ofs such that electron hit the sheet after 1 sec.

(mass of electron 9 × 10^–31 kg, permittivity of free space e₀ = 9 × 10^–12C²/Nm²)