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COMEDK · Physics · 22. Electromagnetic Induction

A metallic rod of \(10 \mathrm{~cm}\) is rotated with a frequency 100 revolution per second about an axis perpendicular to its length and passing through its one end in uniform transverse magnetic field of strength \(1 \mathrm{~T}\). The emf developed across its ends is:

  1. A 6.28 V
  2. B 628 V
  3. C 31.4 V
  4. D 3.14 V
Verified Solution

Answer & Solution

Correct Answer

(D) 3.14 V

Step-by-step Solution

Detailed explanation

The induced electromotive force (emf) across the ends of a conducting rod of length \(l\) rotating with angular velocity \(\omega\) in a uniform magnetic field \(B\) perpendicular to the plane of rotation is given by the formula: \(\varepsilon = \dfrac{1}{2} B \omega l^2\) Given…