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Question

Physics Question on Magnetism and matter

The range of magnetic susceptibility and relative magnetic permeability for diamagnetic substances are

A

1χ>0-1 \ge \chi > 0, 0μr<10 \le \mu_{r} < 1

B

1χ>0-1 \le \chi > 0, 0μr<10 \ge \mu_{r} < 1

C

1χ>1-1 \ge \chi > 1, 0μr<10 \le \mu_{r} < 1

D

1χ>0,0μr<1-1 \le \chi > 0, 0 \le \mu_{r} < 1

Answer

1χ>0,0μr<1-1 \le \chi > 0, 0 \le \mu_{r} < 1

Explanation

Solution

Theory states that susceptibility of diamagnetic substances as, 1X0-1 \leq X \leq 0 Relation between XX and μr\mu_{ r } Xm=μr1\Rightarrow X _{ m }=\mu_{ r }-1 μr=1+Xm\Rightarrow \mu_{ r }=1+ X _{ m } 1X0,\Rightarrow-1 \leq X \leq 0, add one. 01+X1,0μr1\Rightarrow 0 \leq 1+ X \leq 1,\,\, 0 \leq \mu_{ r } \leq 1