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  • A Particle having charge  mass <img alt="1 \mathrm{~kg}" src="https://entrancecorner.oncodecogs.com/gif.latex?1

A Particle having charge 1 c_1 mass 1 \mathrm{~kg} and Speed 1 \mathrm{~m} / \mathrm{s} enters a uniform magnetic field, having magnetic induction of $I T$, at an angle \theta=30^{\circ} between velocity vector and magnetic induction. The fitch of its helical path is (in m)

Option: 1

\frac{\sqrt{3} \pi}{2}


Option: 2

\sqrt{3} \pi


Option: 3

\frac{\pi}{2}


Option: 4

\pi


Answers (1)

best_answer

Pitch 

\begin{aligned} & =V_{I I} \cdot T \\ & =V_{\cos \theta} \cdot \frac{2 \pi m}{9 B} \\ & =\frac{\sqrt{3} \times 2 \pi}{2} \\ & =\sqrt{3} \mathrm{r} \end{aligned}

 

Posted by

himanshu.meshram

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