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WBJEE · Physics · Magnetic Effects of Current

An electron revolves around the nucleus in a circular path with angular momentum \(\overrightarrow{\mathrm{L}} . \mathrm{A}\) uniform magnetic field \(\overrightarrow{\mathrm{B}}\) is applied perpendicular to the plane of its orbit. If the electron experiences a torque \(\overrightarrow{\mathrm{T}}\), then

  1. A \(\overrightarrow{\mathrm{T}} \| \overrightarrow{\mathrm{L}}\)
  2. B \(\overrightarrow{\mathrm{T}}\) is anti-parallel to \(\overrightarrow{\mathrm{L}}\)
  3. C \(\overrightarrow{\mathrm{T}} \cdot \overrightarrow{\mathrm{L}}=0\)
  4. D Angle between \(\vec{T}\) and \(\vec{L}\) is \(45^{\circ}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\overrightarrow{\mathrm{T}} \cdot \overrightarrow{\mathrm{L}}=0\)

Step-by-step Solution

Detailed explanation

\(\vec{\tau}=0 \Rightarrow \vec{\tau} \cdot \vec{L}=0\)
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