A moving coil galvanometer has 100 turns and each turn has an area of 2.0 ~cm². The magnetic field produced by the magnet is 0.01 ~T and the deflection in the coil is 0.05 radian when a current of 10 ~mA is passed through it. The torsional constant of the suspension wire is x × 10⁻⁵ ~N-m / rad. The value of x is _ _ _ _.

Magnetic Effects of Current and Magnetism: JEE Main 2024 Physics question

JEE Main 2024 · 1 Feb, Evening shift · Q72

JEE Main 20241 Feb, Evening shiftPhysicsHardMagnetic Effects of Current and Magnetism165× since 2002

A moving coil galvanometer has 100 turns and each turn has an area of

2.0 \mathrm{~cm}^2

. The magnetic field produced by the magnet is

0.01 \mathrm{~T}

and the deflection in the coil is 0.05 radian when a current of

10 \mathrm{~mA}

is passed through it. The torsional constant of the suspension wire is

x \times 10^{-5} \mathrm{~N}-\mathrm{m} / \mathrm{rad}

. The value of

x

is _______ .

Your answerType your answer. Integers and decimals are accepted.

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