Magnetism Question 72

Question: At a certain place the horizontal component of the earth’s magnetic field is B0 and the angle of dip is 45o. The total intensity of the field at that place will be

[MP PET 2000; Pb PET 2003]

Options:

A) B0

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

C) 2 B0

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

Show Answer

Answer:

Correct Answer: B

Solution:

$ B _{H}=B\sin \varphi \Rightarrow B=\frac{B _{H}}{\sin \varphi } $
$ \Rightarrow B=\frac{B _{o}}{\sin 45^{o}}=\sqrt{2}B _{0} $