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GUJCET · Physics · Moving Charges and Magnetism
An electron having mass \(9.1 \times 10^{-31} kg\), charge \(1.6 \times 10^{-19} C\) and moving with velocity of \(10^6 ms^{-1}\) enters a region where magnetic field exists. If it describe a circle of radius 0.2 m then intensity of magnetic field must be _________ \(\times 10^{-5} T\).
- A 14.4
- B 5.65
- C 2.84
- D 1.32
Answer & Solution
Correct Answer
(C) 2.84
Step-by-step Solution
Detailed explanation
C
\(\begin{aligned} r & =\frac{m v}{B q} \\ \therefore B & =\frac{m v}{q r} \\ \therefore B & =\frac{9.1 \times 10^{-31} \times 10^6}{1.6 \times 10^{-19} \times 0.2} \\ \therefore B & =2.84 \times 10^{-5} T\end{aligned}\)
\(\begin{aligned} r & =\frac{m v}{B q} \\ \therefore B & =\frac{m v}{q r} \\ \therefore B & =\frac{9.1 \times 10^{-31} \times 10^6}{1.6 \times 10^{-19} \times 0.2} \\ \therefore B & =2.84 \times 10^{-5} T\end{aligned}\)
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