Question

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

• A. $-1 \ge \chi > 0$, $0 \le \mu_{r} < 1$
• B. $-1 \le \chi > 0$, $0 \ge \mu_{r} < 1$
• C. $-1 \ge \chi > 1$, $0 \le \mu_{r} < 1$
• D. $-1 \leq X<0,0 \leq \mu_{ r }<1$

Answer 1

Answer: (D)

Theory states that susceptibility of diamagnetic substances as, $-1 \leq X \leq 0$
Relation between $X$ and $\mu_{ r }$
$\Rightarrow X _{ m }=\mu_{ r }-1 $
$\Rightarrow \mu_{ r }=1+ X _{ m } $
$\Rightarrow -1 \leq X \leq 0,$ add one.
$\Rightarrow 0 \leq 1+ X \leq 1,\,\, 0 \leq \mu_{ r } \leq 1$