MHT CET · Physics · Magnetic Effects of Current
A charged particle is moving in a uniform magnetic field in a circular path of radius ' \(R\) '. When the kinetic energy of the particle is increased to three times, then the new radius will be
- A \(\frac{\mathrm{R}}{3}\)
- B \(\frac{\mathrm{R}}{\sqrt{3}}\)
- C \(\sqrt{3} \cdot \mathrm{R}\)
- D \(3 \cdot \mathrm{R}\)
Answer & Solution
Correct Answer
(C) \(\sqrt{3} \cdot \mathrm{R}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \quad \text { Radius, } r=\frac{\sqrt{2 m K}}{q B} \Rightarrow r \propto \sqrt{K} \\ & \therefore \quad \\ & \quad \frac{R}{R_2}=\sqrt{\frac{K}{3 K}} \\ & \\ & \Rightarrow R_2=\sqrt{3} R\end{aligned}\)
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