JEE Main 2013PhysicsElectromagnetic InductionMediumMCQ

JEE Main 2013 — Electromagnetic Induction Question with Solution

JEE Main 2013 (07 Apr)

Question

A metallic rod of length l is tied to a string of length 2l and made to rotate with angular speed ω on a horizontal table with one end of the string fixed. If there is a vertical magnetic field B in the region, the e.m.f. induced across the ends of the rod is:

 

Choose an option

Show full solutionCorrect option: B
Correct answer
B5Bωl22

Step-by-step explanation



e=∫2l3lBVdx

e = ∫ 2 ℓ 3 ℓ B(ωx)dx
e=ωB∫2l3lxdx

e=ωBx222l3l

e=ωB23l2-2l22l3l

e=52ωBl2

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About this question

This is a previous-year question from JEE Main 2013, covering the Electromagnetic Induction chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.