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JEE Main 20238 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
8 April
Shift
Morning Shift
Subject
Physics
Chapter
Electrostatics

JEE Main 2023 · 8 April · Morning Shift · Physics · Electrostatics

An electric dipole of dipole moment is 6 . 0 × 10 ^ - 6 Cm placed...

An electric dipole of dipole moment is 6.0×10−6Cm6 . 0 \times {10}^{- 6}Cm placed in a uniform electric field of 1.5×103NC−11 . 5 \times {10}^{3}N{C}^{- 1} in such a way that dipole moment is along electric field. The work done in rotating dipole by 180°180 °in this field will be_______mJmJ.

Correct answer

0

Step-by-step solution

The work done for rotating a dipole is given by the change in the potential energy. The potential energy is given by

U=−p→⋅E→U = - \overset{\to}{p} \cdot \overset{\to}{E}

W=∆U=Uf−UiW = ∆ U = {U}_{f} - {U}_{i}

So, the work done is

W=−pEcos180°−(−pEcos0°)=2pE=2×6×10−6×1.5×103=18mJW = - pEcos180 ° - ( - pEcos0 ° ) = 2pE = 2 \times 6 \times {10}^{- 6} \times 1 . 5 \times {10}^{3} = 18mJ

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