Medium MCQ +4 / -1 PYQ · JEE Mains 2024

A proton moving with a constant velocity passes through a region of space without any change in its velocity. If $\overrightarrow{\mathrm{E}}$ and $\overrightarrow{\mathrm{B}}$ represent the electric and magnetic fields respectively, then the region of space may have :

(A) $\mathrm{E}=0, \mathrm{~B}=0$

(B) $\mathrm{E}=0, \mathrm{~B} \neq 0$

(C) $\mathrm{E} \neq 0, \mathrm{~B}=0$

(D) $\mathrm{E} \neq 0, \mathrm{~B} \neq 0$

Choose the most appropriate answer from the options given below :

  1. A (A), (B) and (C) only
  2. B (A), (C) and (D) only
  3. C (A), (B) and (D) only Correct answer
  4. D (B), (C) and (D) only

Solution

<p>Net force on particle must be zero i.e. $$\mathrm{q} \overrightarrow{\mathrm{E}}+\mathrm{q} \overrightarrow{\mathrm{V}} \times \overrightarrow{\mathrm{B}}=0$$</p> <p>Possible cases are</p> <p>(i) $\overrightarrow{\mathrm{E}} \& \overrightarrow{\mathrm{B}}=0$</p> <p>(ii) $$\overrightarrow{\mathrm{V}} \times \overrightarrow{\mathrm{B}}=0, \overrightarrow{\mathrm{E}}=0$$</p> <p>(iii) $$q \overrightarrow{\mathrm{E}}=-\mathrm{q} \overrightarrow{\mathrm{V}} \times \overrightarrow{\mathrm{B}}$$</p> <p>$\overrightarrow{\mathrm{E}} \neq 0 \& \overrightarrow{\mathrm{B}} \neq 0$</p>

About this question

Subject: Physics · Chapter: Magnetic Effects of Current · Topic: Biot-Savart Law

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