Question:

A solid metal cube of edge length 2 cm is moving in a positive y-direction at a constant speed of 6 m/s. There is a uniform magnetic field of 0.1 T in the positive z-direction. The potential difference between the two faces of the cube perpendicular to the x-axis, is -

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Motional emf across the cube along x: \(V = Bvl\), since \(\vec v\times\vec B\) points along x.
Updated On: Nov 5, 2026
  • 2 mV
  • 12 mV
  • 6 mV
  • 1 mV
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The Correct Option is B

Solution and Explanation

\(\vec v = 6\hat j\) m/s and \(\vec B = 0.1\hat k\) T give \(\vec v\times\vec B = 0.6\,\hat i\) V/m, along the x-axis.
So a potential difference appears between the two faces perpendicular to x, separated by \(l = 2\) cm \(= 0.02\) m.
\(V = Bvl = 0.1\times6\times0.02 = 1.2\times10^{-2}\) V \(= 12\) mV.
Answer: (2) 12 mV
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