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Saturday, 31 October

JEE Main 2021 · PhysicsMultiple choiceDiagram basedMediumApplication

JEE Main 27 August 2021, Shift 2, Physics Q16

Question 16 of 90 in this shift, Physics question 16 of 30, Section A.

A constant magnetic field of 1 T is applied in the x>0x>0 region. A metallic circular ring of radius 1 m is moving with a constant velocity of 1 m/s along the xx-axis. At t=0t=0 s, the centre O of the ring is at x=−1x=-1 m. What will be the value of the induced emf in the ring at t=1t=1 s ? (Assume the velocity of the ring does not change.)

The figure, in words

A circle with its centre O marked by a dot, lying partly outside a hatched rectangular region whose left edge is the line x=0; a horizontal arrow labelled v points to the right (towards +x) from the ring; below the figure the label x=0 and an arrow labelled x pointing right.
  1. (1)0 V0\ \mathrm{V}
  2. (2)1 V1\ \mathrm{V}
  3. (3)2 V2\ \mathrm{V}Official answer
  4. (4)2π V2\pi\ \mathrm{V}

Official answer

Option 3

NTA final key.

Chapter
Electromagnetic Induction
Topic
Faraday's Law
Idea tested
Motional EMF in Arbitrary Shapes

Same topic in other shifts

All Faraday's Law questions
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  2. 5 Apr 2026, Shift 2 · Q36A metal rod of length LL rotates about one end at origin with a uniform angular velocity ω\omega. The magnetic field radially falls off…HardSingle correct
  3. 5 Apr 2026, Shift 2 · Q50A circular loop of radius 20 cm and resistance 2 Ω\Omega is placed in a time varying magnetic field B⃗=(2t2+2t+3) T\vec{B}=(2t^2+2t+3)\ \mathrm{T}. At…EasyNumerical value
  4. 6 Apr 2026, Shift 2 · Q39A square loop of side 2 cm is placed in a time varying magnetic field with magnitude as B=0.4sin⁡(300t)B=0.4\sin(300t) Tesla. The normal to the plane…MediumSingle correct
  5. 4 Apr 2024, Shift 2 · Q53A rod of length 60 cmcm rotates with a uniform angular velocity 20 rad s−1s^{-1} about its perpendicular bisector, in a uniform magnetic…MediumNumerical value
  6. 8 Apr 2024, Shift 1 · Q60A square loop PQRS having 10 turns, area 3.6×10−3 m23.6\times10^{-3}\ \mathrm{m^2} and resistance 100 Ω100\ \Omega is slowly and uniformly being…MediumNumerical valueHas a figure

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. This question needs a figure we do not reproduce; it is described in words above. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.