Magnetism Question 67

Question: At a certain place, the horizontal component $ B _{0} $ and the vertical component $ V _{0} $ of the earth’s magnetic field are equal in magnitude. The total intensity at the place will be

[MP PMT 1999, 2003]

Options:

A) $ B _{0} $

B) $ B _{0}^{2} $

C) $ 2B _{0} $

D) $ \sqrt{2}B _{0} $

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Answer:

Correct Answer: D

Solution:

$ B _{0}=V _{0} $ also total intensity $ B=\sqrt{B _{0}^{2}+V _{0}^{2}} $
$ \Rightarrow B=\sqrt{2}B _{0} $