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NEET 2026
Exam
NEET
Year
2026
Subject
Physics
Chapter
Electromagnetic Induction

NEET 2026 · Physics · Electromagnetic Induction

A rectangular wire loop of sides 8 cm and 3 cm with a small cut, is...

A rectangular wire loop of sides 88 cm and 33 cm with a small cut, is moving out of a region of uniform magnetic field of magnitude 0.30.3 T directed normal to the plane of the loop. The emf developed across the cut, if the velocity of the loop is 22 cm s−1^{-1}, in a direction normal to the shorter side of the loop, will be :

Options

  1. A4.8×10−44.8 \times 10^{-4} volt
  2. B1.2×10−41.2 \times 10^{-4} volt
  3. C1.3×10−41.3 \times 10^{-4} volt
  4. D1.8×10−41.8 \times 10^{-4} volt

Correct answer

D. 1.8×10−41.8 \times 10^{-4} volt

Step-by-step solution

Given:
Magnetic field, B=0.3B = 0.3 T
Velocity of the loop, v=2v = 2 cm s−1=2×10−2^{-1} = 2 \times 10^{-2} m s−1^{-1}
Length of the shorter side, l=3l = 3 cm =3×10−2= 3 \times 10^{-2} m

Since the loop is moving in a direction normal to the shorter side, the velocity vector is perpendicular to the shorter side. The motional emf is induced across the side that is perpendicular to the direction of motion.

The induced emf ee is given by the formula:
e=Blve = B l v

Substituting the given values:
e=0.3×(3×10−2)×(2×10−2)e = 0.3 \times (3 \times 10^{-2}) \times (2 \times 10^{-2})
e=1.8×10−4e = 1.8 \times 10^{-4} V

Answer: 1.8×10−41.8 \times 10^{-4} volt
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