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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Magnetic Properties of Matter

NTA Abhyas 2020 · Physics · Magnetic Properties of Matter

At a place the true value of angle of dip is 60 ° . If dip circle...

At a place the true value of angle of dip is 60°60 °. If dip circle is rotated by ϕ°ϕ ° from magnetic meridian, the angle of dip is found to be tan⁡−1(2)\tan^{-1} ( 2 ). Then the value of ϕϕ is

Options

  1. A45°45 °
  2. B15°15 °
  3. C60°60 °
  4. D30°30 °

Correct answer

D. 30°30 °

Step-by-step solution

tanδ′=tanδcosxo{tan \delta}^{′} = \dfrac{tan \delta}{cos x^{o}}

tan⁡(tan⁡−1(2))=tan60ocosxo\tan \left(\tan^{-1} \left(2\right)\right) = \dfrac{tan {60}^{o}}{cos x^{o}}

Or, cosx°=32cos x ° = \dfrac{3}{2}

∴x=30°∴ x = 30 °
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