Question

Magnetic moment of a metal complex is 5.9 B.M Number of unpaired electrons in the complex is____________.
a) 2
b) 3
c) 4
d) 5​

Answer 1

Answer:

d) 5

Explanation:

number of unpaired  electrons

B.M = $\sqrt{n(n+2)}$

n = number of unpaired electrons

wkt B.M = 5.9

therefore

5.9 = $\sqrt{n(n+2)}$

$5.9^{2}$ = $n^{2}$+2n

1$n^{2}$ + 2n - 34.81 = 0

n = - b +- $\sqrt{b^{2}-4ac }$  / 2a

⇒n = -2 +- $\sqrt{4 + 4*1*34.81}$ / 2*1

⇒ n = -2 +- 12 /2

⇒n = -1 +- 6

⇒n = -1-6 & n = -1 +6

n = -7 & n = 5

B.M should be in positive value so answer is 5