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AIIMS 2002
Exam
AIIMS
Year
2002
Subject
Physics
Chapter
Magnetic Properties of Matter

AIIMS 2002 · Physics · Magnetic Properties of Matter

The magnetic needle of a tangent galvanometer is deflected at an...

The magnetic needle of a tangent galvanometer is deflected at an angle 30∘30^{\circ} due to a magnet. The horizontal component of earth's magnetic field 0.34×10−4 T0.34 \times 10^{-4} \mathrm{~T} is along the plane of the coil. The magnetic intensity is

Options

  1. A1.96×10−4 T1.96 \times 10^{-4} \mathrm{~T}
  2. B1.96×104 T1.96 \times 10^4 \mathrm{~T}
  3. C1.96×10−5 T1.96 \times 10^{-5} \mathrm{~T}
  4. D1.96×105 T1.96 \times 10^5 \mathrm{~T}.

Correct answer

C. 1.96×10−5 T1.96 \times 10^{-5} \mathrm{~T}

Step-by-step solution

Angle through which magnet is deflected (θ)=30∘andhorizontalmagneticfield(BH)=0.34×10−4 T(\theta)=30^{\circ} and horizontal magnetic field \left(B_H\right)=0.34 \times 10^{-4} \mathrm{~T}. Magnetic intensity =BHtan⁡θ=0.34×10−4×tan⁡30∘=(0.34×10−4)×0.577=1.96×10−5 T=B_H \tan \theta=0.34 \times 10^{-4} \times \tan 30^{\circ} =\left(0.34 \times 10^{-4}\right) \times 0.577=1.96 \times 10^{-5} \mathrm{~T}.
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