Practice Vector Analysis - CSIR-UGC NET Offered by Unacademy

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Vector Analysis

Quick practice

Question 1 of 3

For a magnetic system, the free energy vary with magnetization m given as $F=\frac{1}{2} a m^{2}-\frac{1}{4} b m^{4}+\frac{1}{6} m^{6}$ where a and b are constant. At a fixed value of a, the value of b above which minimum of free energy will be at non-zero value of magnetization is:

A

$\sqrt{\frac{8 a}{3}}$

B

$\sqrt{\frac{16 a}{3}}$

C

$\sqrt{\frac{16}{3 a}}$

D

$\sqrt{\frac{4 a}{3}}$