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For paramagnetic material magnesium, the susceptibility at 300 K is 1.20 × 10-5 at what temperature will the susceptibility increases to 2.4× 10-5  

For paramagnetic material magnesium, the susceptibility at 300 K is 1.20 × 10-5 at what temperature will the susceptibility increases to 2.4× 10-5   Correct Answer 150 K

Correct option- 4

Concept:

Paramagnetic substances:

  • ​The substances that develop feeble magnetization in the direction of the magnetizing field.
  • They are feebly attracted by magnets and tend to move from weaker to stronger parts of a magnetic field.
  • Magnetic susceptibility of paramagnetic substances is small and positive i.e. 0 < χ.
  • Example: Aluminum, Manganese, chromium, platinum, etc.
  • According to Curie’s Law, If the object is heated, the magnetization is viewed to be inversely proportional to the temperature.
  • For a fixed value of the field, the variation of magnetic susceptibility (χ) with temperature is given as

             

        where C is  Curie constant and T is temperature.

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  • The law was discovered by the French physicist, Pierre Curie.

 

​​Calculation:

According to Curie law, we have

 

 

................(i)

Given:

 

 and 

 

On substituting the given values in equation (i), we get

 

 

Hence, the required temperature of the given sample 150 K.

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