Easy MCQ +4 / -1 PYQ · JEE Mains 2022

An electron with energy 0.1 keV moves at right angle to the earth's magnetic field of 1 $\times$ 10$-$4 Wbm$-$2. The frequency of revolution of the electron will be :

(Take mass of electron = 9.0 $\times$ 10$-$31 kg)

  1. A $1.6 \times 10^{5} \mathrm{~Hz}$
  2. B $5.6 \times 10^{5} \mathrm{~Hz}$
  3. C $2.8 \times 10^{6} \mathrm{~Hz}$ Correct answer
  4. D $1.8 \times 10^{6} \mathrm{~Hz}$

Solution

<p>$T = {{2\pi m} \over {Bq}}$</p> <p>$\Rightarrow$ Frequency $f = {{Bq} \over {2\pi m}}$</p> <p>$$ = {{{{10}^{ - 4}} \times 1.6 \times {{10}^{ - 19}}} \over {2\pi \times 9 \times {{10}^{ - 31}}}}$$</p> <p>$\simeq 2.8 \times {10^6}$ Hz</p>

About this question

Subject: Physics · Chapter: Magnetism · Topic: Bar Magnet and Magnetic Field

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