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Match List-I with List-II :
Choose the correct answer from the options given below :
$$\text{For (A): Magnetic susceptibility }\chi_m\text{ of a material is independent of magnetising field }H\implies Y = \text{constant}\implies \text{(III)}$$
$$\text{For (B): Inside a current-carrying wire }(x < a)\text{, Ampere's Law gives }B = \frac{\mu_0 I x}{2\pi a^2}\implies Y \propto X\implies \text{(I)}$$
$$\text{For (C): Outside a current-carrying wire }(x > a)\text{, Ampere's Law gives }B = \frac{\mu_0 I}{2\pi x}\implies Y \propto \frac{1}{X}\implies \text{(IV)}$$
$$\text{For (D): Inside a finite solenoid, }B\text{ is uniform near the center and drops by half near the edges}\implies \text{(II)}$$
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