An electron is moving under the influence of the electric field of a uniformly charged infinite plane sheet S having surface charge density +σ. The electron at t=0 is at a distance of 1 ~m from S and has a speed of 1 ~m / s. The maximum value of σ if the electron strikes S at t=1 ~s is α[(m ε₀)/e] C/(m²), the value of α is _ _ _ _ _ _.

Electrostatics: JEE Main 2024 Physics question

JEE Main 2024 · 29 Jan, Morning shift · Q67

JEE Main 202429 Jan, Morning shiftPhysicsHardElectrostatics167× since 2002

An electron is moving under the influence of the electric field of a uniformly charged infinite plane sheet

\mathrm{S}

having surface charge density

+\sigma

. The electron at

t=0

is at a distance of

1 \mathrm{~m}

from

S

and has a speed of

1 \mathrm{~m} / \mathrm{s}

. The maximum value of

\sigma

if the electron strikes

S

t=1 \mathrm{~s}

\alpha\left[\frac{m \epsilon_0}{e}\right] \frac{C}{m^2}

, the value of

\alpha

is ___________.

Your answerType your answer. Integers and decimals are accepted.

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