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TS EAMCET · Physics · Magnetic Effects of Current

Velocity and acceleration vectors of charged particle moving perpendicular to the direction of a magnetic field at a given instant of time are \(\overrightarrow{\mathbf{v}}=2 \hat{\mathbf{i}}+c \hat{\mathbf{j}}\) and \(\overrightarrow{\mathbf{a}}=3 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}\) respectively. Then the value of \(c\) is

  1. A \(3\)
  2. B \(1.5\)
  3. C \(-1.5\)
  4. D \(-3\)
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Answer & Solution

Correct Answer

(C) \(-1.5\)

Step-by-step Solution

Detailed explanation

When a charged particle moves perpendicular to the magnetic field, it follows a circular path. On the circular path its velocity and acceleration will be at right angle to each other. Given,…
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