The working of deflection magnetometer is based on

Tangent law

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Curie - weiss law

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Amperes law

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Coloumbs law

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Solution

The correct option is A Tangent law
$Tangent Law$ : If a compass or other magnet is subjected to a magnetic field $B$ that is perpendicular to the horizontal magnetic field of the Earth ( $B_{H}$ ), it will rest at an angle theta to the Earth's magnetic field. The relationship between the two magnetic fields is
$B = B_{H} tan θ$
The working of a deflection magnetometer is placed on this principle .

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