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NEET 2005
Exam
NEET
Year
2005
Subject
Physics
Chapter
Magnetic Effects of Current

NEET 2005 · Physics · Magnetic Effects of Current

A coil in the shape of an equilateral triangle of side l is...

A coil in the shape of an equilateral triangle of side ll is suspended between the pole of a permanent magnet such that BB is in plane of the coil. If due to current ii in the triangle a torque τ\tau acts on it, the side ll of the triangle is:

Options

  1. A23(τBi)\frac{2}{\sqrt{3}}\left(\frac{\tau}{B i}\right)
  2. B2(τ3Bi)1/22\left(\frac{\tau}{\sqrt{3} B i}\right)^{1 / 2}
  3. C23(τBi)1/2\frac{2}{\sqrt{3}}\left(\frac{\tau}{B i}\right)^{1 / 2}
  4. D13τBi\frac{1}{\sqrt{3}} \frac{\tau}{B i}

Correct answer

B. 2(τ3Bi)1/22\left(\frac{\tau}{\sqrt{3} B i}\right)^{1 / 2}

Step-by-step solution

Since I=MB=(IA)B=I34l2BI=M B=(I A) B=I \frac{\sqrt{3}}{4} l^2 B \Rightarrow \quad l=2(I3BI)1/2\left(\frac{I}{\sqrt{3} B I}\right)^{1 / 2}
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