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  • A magnetron in a microwave oven emits electromagnetic waves (em waves) with frequency <img alt="\mathrm{f = 2450 \; MHz}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7Bf%20%3D%20

A magnetron in a microwave oven emits electromagnetic waves (em waves) with frequency \mathrm{f = 2450 \; MHz}. What magnetic field strength is required for electrons to move in circular paths with this frequency?.

Option: 1

0.0456 T


Option: 2

0.0587 T


Option: 3

0.0627 T


Option: 4

0.0887 T


Answers (1)

best_answer

Frequency of the electromagnetic waves given is f = 2450 MHz
The corresponding angular frequency is

\begin{aligned} & \omega=2 \pi \text{f}=2 \times 3.14 \times 2450 \times 106 \\ \\& =15,386 \times 106 \mathrm{~Hz} \\ \\& =1.54 \times 1010 \mathrm{~s}^{-1} \end{aligned}

The magnetic field \mathrm{\mathrm{B}=\mathrm{me} \omega / \mid \mathrm{q}}

Mass of the electron, \mathrm{\mathrm{me}=9.22 \times 10-31 \mathrm{~kg}}

Charge of the electron

\mathrm{\begin{aligned} & \mathrm{q}=-1.60 \times 10-19 \mathrm{C} \Rightarrow|\mathrm{q}|=1.60 \times 10-19 \mathrm{C} \\ & \mathrm{B}=0.0887 \mathrm{~T} \end{aligned}}

Posted by

manish painkra

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