JEE Main 2024PhysicsMagnetic Properties of MatterMediumNumerical

JEE Main 2024 — Magnetic Properties of Matter Question with Solution

JEE Main 2024 (30 Jan Shift 1)

Question

A ceiling fan having 3 blades of length 80 cm each is rotating with an angular velocity of 1200 rpm. The magnetic field of earth in that region is 0.5 G and angle of dip is 30°. The emf induced across the blades is Nπ×10-5 V. The value of N is _______.

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Show full solutionCorrect answer: 32
Correct answer
32

Step-by-step explanation

Component of the magnetic field perpendicular to the plane of fan blades, Bv=Bsin30°=0.5×10-4 T×12=14×10-4 T

Angular frequency, ω=2π×f=2π60×1200 rad s-1=40π rad s-1

Therefore, induced EMF

ε=12BVωl2=12×14×10-4×40π×0.82

=32π×10-5 V

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About this question

This is a previous-year question from JEE Main 2024, covering the Magnetic Properties of Matter 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.