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Saturday, 31 October

JEE Main 2023 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 11 April 2023, Shift 2, Physics Q58

Question 58 of 90 in this shift, Physics question 28 of 30, Section B.

A metallic cube of side 15 cm15\ \mathrm{cm} moving along y-axis at a uniform velocity of 2 ms−12\ \mathrm{ms^{-1}}. In a region of uniform magnetic field of magnitude 0.5T0.5\mathrm{T} directed along z-axis. In equilibrium the potential difference between the faces of higher and lower potential developed because of the motion through the field will be ____________ mV.

The figure, in words

Cube drawn in X-Y-Z axes with its velocity v⃗\vec{v} pointing along +Y (upwards) and the magnetic field B⃗\vec{B} drawn along the Z-axis.

Official answer

150

NTA final key.

Chapter
Electromagnetic Induction
Topic
Faraday's Law
Idea tested
Linear Motional EMF

Same idea in other shifts

Asked 7× in all
  1. 8 Apr 2023, Shift 2 · Q48An emf of 0.08 V is induced in a metal rod of length 10 cm held normal to a uniform magnetic field of 0.4 T, when moves with a velocity of:EasySingle correct
  2. 10 Apr 2023, Shift 1 · Q58A 1 m long metal rod XYXY completes the circuit as shown in figure. The plane of the circuit is perpendicular to the magnetic field of…MediumNumerical valueHas a figure
  3. 27 Jun 2022, Shift 2 · Q59A metallic rod of length 20 cm is placed in North-South direction and is moved at a constant speed of 20 m/s towards East. The horizontal…MediumNumerical value
  4. 4 Aug 2021, Shift 1 · Q10A metal rod of 10 cm length is moving with a velocity 5 m/s at the centre of a current carrying circular coil of radius 4 cm and 2A…MediumSingle correct
  5. 4 Aug 2021, Shift 1 · Q14The magnetic field in any region is given by B⃗=B0(2+xa)k^\vec{B}=B_0\left(2+\frac{x}{a}\right)\hat{k}. A square loop of edge length ‘l’ is placed…MediumSingle correct
  6. 26 Feb 2021, Shift 2 · Q7An aeroplane, with its wings spread 10 m, is flying at a speed of 180 km/h in a horizontal direction. The total intensity of earth’s field…MediumSingle correct

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.