IAT (IISER) 2025 | Moving Charges and Magnetism Question 1 | Physics

A particle of mass $m$ and charge $q$ moving with a velocity $\vec{v}=v_0(\hat{i}+\hat{j}-\hat{k})$ is placed in a uniform magnetic field $\vec{B}=B_0(\hat{i}+\hat{j}+\hat{k})$. It executes a helical trajectory of radius $r$ and pitch $p$. Which of the following options is correct?

$$ r=\frac{2 \sqrt{2} m v_0}{3 q B_0} \text { and } p=\frac{2 \pi m v_0}{3 q B_0} $$

$$ r=\frac{m v_0}{3 q B_0} \text { and } p=\frac{2 \pi m v_0}{3 q B_0} $$

$$ r=\frac{2 \sqrt{2} m v_0}{3 q B_0} \text { and } p=\frac{4 \sqrt{2} \pi m v_0}{3 q B_0} $$

$$ r=\frac{2 \pi m v_0}{3 q B_0} \text { and } p=\frac{2 \sqrt{2} m v_0}{3 q B_0} $$

IAT (IISER) 2024

MCQ (Single Correct Answer)

-1

A conducting wire carrying a steady current $I$ is shaped as shown in the figure below. All connected graight segments meet at right angles. What is the magnetic moment of the current loop? IAT (IISER) 2024 Physics - Moving Charges and Magnetism Question 2 English

IAT (IISER) 2024 Physics - Moving Charges and Magnetism Question 2 English

$\operatorname{Iab}(\hat{\jmath}-\hat{k})$

$\operatorname{Iab}(\hat{\jmath}+\hat{k})$

$\sqrt{2} \operatorname{I} a b(\hat{\jmath}+\hat{k})$

$\operatorname{Iab}(\hat{\mathrm{k}}-\hat{\jmath})$

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