JEE Main 2022 · 25 Jun · Shift 1 · Physics Q38

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PhysicsSingle correct+4 / -1Question 38 of 90

In the figure, a very large plane sheet of positive charge is shown. $P_1$ and $P_2$ are two points at distance $l$ and $2l$ from the charge distribution. If $\sigma$ is the surface charge density, then the magnitude of electric fields $E_1$ and $E_2$ at $P_1$ and $P_2$ respectively are :

A large sheet with surface charge density σ (covered in + signs); point P1 at distance l and point P2 at distance 2l from it, with fields E1 and E2 pointing away from the sheet.

E_1=\sigma/\varepsilon_0

E_2=\sigma/2\varepsilon_0

E_1=2\sigma/\varepsilon_0

E_2=\sigma/\varepsilon_0

E_1=E_2=\sigma/2\varepsilon_0

E_1=E_2=\sigma/\varepsilon_0

Answer and worked solution

Official answer: C

Infinite sheet. Its field $\dfrac\sigma{2\varepsilon_0}$ is uniform, independent of distance, so $E_1=E_2=\dfrac\sigma{2\varepsilon_0}$ .

(C)

Topics:Electric flux and Gauss's law

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JEE Main 2022 · 25 Jun · Shift 1, Physics question 38