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JEE Mains · Physics · STD 12 - 4. Moving charges and magnetism

A charge particle is moving in a uniform magnetic field \((2 \hat{i}+3 \hat{j}) T\). If it has an acceleration of \((\alpha \hat{i}-4 \hat{j}) m / s ^{2}\), then the value of \(\alpha\) will be.

  1. A \(3\)
  2. B \(6\)
  3. C \(12\)
  4. D \(2\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(6\)

Step-by-step Solution

Detailed explanation

As \(\overrightarrow{ F }= q (\overrightarrow{ v } \times \overrightarrow{ B })\) \(\overrightarrow{ a }=\frac{ q }{ m }(\overrightarrow{ v } \times \overrightarrow{ B })\) So, \(\overrightarrow{ a }\,and\,\overrightarrow{ B }\) are \(\perp\) to each other Hence,…
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