In an electrodynamic ammeter, the mutual inductance between the fixed and moving coil is found to vary as \(500\sin \left( {\theta - \frac{{2\pi }}{9}} \right)\mu H\), where θ denotes the deflection of the moving coil in radian. When a current of 200 mA is flowing through the meter, the deflection is found to be θ = 100°. The spring constant of the meter in μNm/degree is ______ (up to two decimal places)

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