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JEE Main 202429 JanuaryEvening Shift
Exam
JEE Main
Year
2024
Date
29 January
Shift
Evening Shift
Subject
Physics
Chapter
Electrostatics

JEE Main 2024 · 29 January · Evening Shift · Physics · Electrostatics

An electric field is given by ( 6 ^ i + 5 ^ j + 3 ^ k ) N C ^ - 1 ....

An electric field is given by ( 6\overset{^}{i} + 5\overset{^}{j} + 3\overset{^}{k} ) N{C}^{- 1}. The electric flux through a surface area 30\overset{^}{i}{m}^{2} lying in YZ-plane(in SI unit) is:

Options

  1. A9090
  2. B150150
  3. C180180
  4. D6060

Correct answer

C. 180180

Step-by-step solution

Given:

\overset{\to}{E} = ( 6\overset{^}{i} + 5\overset{^}{j} + 3\overset{^}{k} ) N{C}^{- 1}

\overset{\to}{A} = 30\overset{^}{i}{m}^{2}

ϕ=E→⋅A→ϕ = \overset{\to}{E} \cdot \overset{\to}{A}

⇒ ϕ = ( 6\overset{^}{i} + 5\overset{^}{j} + 3\overset{^}{k} ) \cdot ( 30\overset{^}{i} ) = 180\text{SI unit}

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