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>>Moving Charges and Magnetism
>>Motion of Charged Particle Combined in Magnetic Field and Electric Fields
>> $An electron is moving in a circular path$

Question

An electron is moving in a circular path under the influence of a transverse magnetic field of $3 \cdot 57 \times 1 0^{- 2} T$ . If the value of e/m is $1 \cdot 76 \times 1 0^{11}$ C/kgg. the frequency of revolution of the electron is.

A

$6 \cdot 28$ MHz

B

1 GHZ

C

100 MHz

D

$62 \cdot 8$ MHz

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Updated on : 2022-09-05

Solution

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Correct option is B)

Given : $\frac{q}{m} = 1.76 \times 1 0^{11}$ $C / k g$ $B = 3.57 \times 1 0^{- 2}$ $T$

Frequency of revolution $ν = \frac{B q}{2 π m}$

$∴$ $ν = \frac{3 . 5 7 \times 1 0 ^{- 2} \times 1 . 7 6 \times 1 0 ^{11}}{2 π} = 1 \times 1 0^{9}$ Hz $= 1$ GHz

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