A paramagnetic material shows a net magnetization of text8 A m text-1 when placed in an external magnetic field of intensity text0 text.6 T at a temperature of text4 textK . When the same material is placed in an external magnetic field of intensity text0 text.2 T at a temperature of text16 K , the magnetization will be

Question

A paramagnetic material shows a net magnetization of text8 A m text-1 when placed in an external magnetic field of intensity text0 text.6 T at a temperature of text4 textK . When the same material is placed in an external magnetic field of intensity text0 text.2 T at a temperature of text16 K , the magnetization will be (A) (32/3)Am- 1 (B) (2/3) A m- 1 (C) 6Am- 1 (D) 2.4Am- 1

Tardigrade Admin · Accepted Answer

According to Curie's law, Magnetization, I propto (Magnetic Induction (. B .)/A b s o l u t e t e m p e r a t u r e (. T .)) ⇒ (I2/I1)=(B2 T1/B1 T2) ⇒ (I2/8)=(0 . 2 × 4/0 . 6 × 16) ⇒ I2=(2/3)Am- 1

Q. A paramagnetic material shows a net magnetization of $8 A m^{-1}$ when placed in an external magnetic field of intensity $0 .6 T$ at a temperature of $4 K$ . When the same material is placed in an external magnetic field of intensity $0 .2 T$ at a temperature of $16 K$ , the magnetization will be

$\frac{32}{3} A m^{- 1}$

$\frac{2}{3} A m^{- 1}$

$6 A m^{- 1}$

$2.4 A m^{- 1}$

Q. A paramagnetic material shows a net magnetization of 8 A m-1 when placed in an external magnetic field of intensity 0.6 T at a temperature of 4K . When the same material is placed in an external magnetic field of intensity 0.2 T at a temperature of 16 K , the magnetization will be

332​Am−1

32​Am−1

6Am−1

2.4Am−1

According to Curie's law, Magnetization, I∝Absolutetemperature(T)MagneticInduction(B)​ ⇒I1​I2​​=B1​T2​B2​T1​​ ⇒8I2​​=0.6×160.2×4​ ⇒I2​=32​Am−1

$\frac{32}{3} A m^{- 1}$

$\frac{2}{3} A m^{- 1}$

$6 A m^{- 1}$

$2.4 A m^{- 1}$