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  • The earth's magnetic field at a certain place has a horizontal component 0.3G and the total strength 0.5G. The angle of dip isOption: 1 <img alt=

The earth's magnetic field at a certain place has a horizontal component 0.3G and the total strength 0.5G. The angle of dip is

Option: 1

\tan ^{-1}\left(\frac{3}{4}\right)


Option: 2

\sin ^{-1}\left(\frac{3}{4}\right)


Option: 3

\tan ^{-1}\left(\frac{4}{3}\right)


Option: 4

\sin ^{-1}\left(\frac{3}{5}\right)


Answers (1)

best_answer

Total strength of magnetic field

\begin{aligned} & B^2=B_H^2+B_V^2 \\ \therefore & B_V=\sqrt{B^2-B_H^2} \\ & \sqrt{(0.5)^2-(0.3)^2}=0.4 \\ \tan \phi & =\frac{B_V}{B_H}=\frac{0.4}{0.3}=\frac{4}{3} \\ \therefore & \phi=\tan ^{-1}\left(\frac{4}{3}\right) \end{aligned}

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