Magnetism Question 58

Question: The angle of dip at a place is 40.6o and the intensity of the vertical component of the earth’s magnetic field $ V=6\times {{10}^{-5}} $ Tesla. The total intensity of the earth’s magnetic field (I) at this place is

[MP PMT 1993]

Options:

A) $ 7\times {{10}^{-5}}tesla $

B) $ 6\times {{10}^{-5}}tesla $

C) $ 5\times {{10}^{-5}}tesla $

D) $ 9.2\times {{10}^{-5}}tesla $

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Answer:

Correct Answer: D

Solution:

From the relation $ B _{V}=I\sin \varphi $

$ I=\frac{V}{\sin \varphi }=\frac{6\times {{10}^{-5}}}{\sin {{40.6}^{o}}}=\frac{6\times {{10}^{-5}}}{0.65}=9.2\times {{10}^{-5}} $ tesla