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Q.

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

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a

$B_{0}$

b

$V_{0}$

c

$2 B_{0}$

d

$\sqrt{2} B_{0}$

answer is D.

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Detailed Solution

$B_{0} = V_{0}$ ; Total intensity,

$B = \sqrt{{B_{0}}^{2} + {V_{0}}^{2}} \Rightarrow B = \sqrt{2} B_{0}$

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At a certain place, the horizontal component B0 and the vertical component V0 of the earth's magnetic field are equal in magnitude. The total intensity at the place will be