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BITSAT 2021
Exam
BITSAT
Year
2021
Subject
Physics
Chapter
Electromagnetic Induction

BITSAT 2021 · Physics · Electromagnetic Induction

A metal disc of radius 100 cm is rotated at a constant angular...

A metal disc of radius 100cm100 \mathrm{ cm} is rotated at a constant angular speed of 60rad/s60 \mathrm{rad} / \mathrm{s} in a plane at right angles to an external field of magnetic induction 0.05Wb/\mathrmm20.05 \mathrm{ Wb} / \mathrmm^{2}. The emf induced between the centre and a point on the rim will be

Options

  1. A3V3 \mathrm{ V}
  2. B1.5V1.5 \mathrm{ V}
  3. C6V6 \mathrm{ V}
  4. D9V9 \mathrm{ V}

Correct answer

B. 1.5V1.5 \mathrm{ V}

Step-by-step solution

Induced emf produced between the centre and a point on the disc is given by e=12ωBR2ω=60rad/s,B=0.05Wb/m2 and R=100cm=1m We get e=12×60×0.05×(1)2=1.5V\begin{array}{l} e=\frac{1}{2} \omega \mathrm{BR}^{2} \\ \omega=60 \mathrm{rad} / \mathrm{s}, \mathrm{B}=0.05 \mathrm{ Wb} / \mathrm{m}^{2} \\ \text{ and } \mathrm{R}=100 \mathrm{ cm}=1 \mathrm{ m} \\ \text{ We get } e=\frac{1}{2} \times 60 \times 0.05 \times(1)^{2}=1.5 \mathrm{ V} \end{array}
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