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JEE Main 202225 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
25 July
Shift
Evening Shift
Subject
Physics
Chapter
Magnetic Properties of Matter

JEE Main 2022 · 25 July · Evening Shift · Physics · Magnetic Properties of Matter

An electron with energy 0 . 1keV moves at right angle to the...

An electron with energy 0.1keV0 . 1keV moves at right angle to the earth's magnetic field of 1×10−4Wbm−21 \times {10}^{- 4}{Wbm}^{- 2}. The frequency of revolution of the electron will be
(Take mass of electron =9.0×10−31kg= 9 . 0 \times {10}^{- 31}kg)

Options

  1. A1.6×105Hz1 . 6 \times {10}^{5}Hz
  2. B5.6×105Hz5 . 6 \times {10}^{5}Hz
  3. C2.8×106Hz2 . 8 \times {10}^{6}Hz
  4. D1.8×106Hz1 . 8 \times {10}^{6}Hz

Correct answer

C. 2.8×106Hz2 . 8 \times {10}^{6}Hz

Step-by-step solution

The frequency of revolution of the electron is f=eB2\pimf = \dfrac{eB}{2\pim}, here, ee is charge of electron, BB is magnetic field and mm is mass of electron.

So, f=1.6×10−19×10−42π×9×10−31=2.8×106Hzf = \dfrac{1 . 6 \times {10}^{- 19} \times {10}^{- 4}}{2\pi \times 9 \times {10}^{- 31}} = 2 . 8 \times {10}^{6}Hz

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