Solved: PHYSICS Question for NEET

NEET PHYSICSEasy

The unit of reduction factor of the tangent galvanometer is:

Ampere

Gauss

Radian

None of these

Principle: The working of a tangent galvanometer is based on the tangent law of magnetism, which relates the current ( $I$ ) flowing through the coil to the deflection ( $\theta$ ) of the magnetic needle. The relationship is given by the equation: $I = K \tan \theta$ .
Reduction Factor ( $K$ ): The constant $K$ is known as the reduction factor of the galvanometer. It is defined as $K = \frac{2R B_H}{\mu_0 N}$ , where $R$ is the radius, $N$ is the number of turns, and $B_H$ is the horizontal component of the Earth's magnetic field.
Dimensional Analysis: In the equation $I = K \tan \theta$ , the term $\tan \theta$ is a trigonometric ratio and is dimensionless (has no unit). Therefore, for the equation to be dimensionally consistent, the unit of the reduction factor $K$ must be the same as the unit of the electric current $I$ .
Unit: The SI unit of electric current is the Ampere . Consequently, the unit of the reduction factor is also the Ampere.

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