JEE MAIN - Physics (2019 - 12th January Evening Slot - No. 12)
A paramagnetic material has 1028 atoms/m3. Its magnetic susceptibility at temperature 350 K is 2.8 $$ \times $$ 10–4. Its susceptibility at 300 K is :
3.726 $$ \times $$ 10–4
2.672 $$ \times $$ 10–4
3.672 $$ \times $$ 10–4
3.267 $$ \times $$ 10$$-$$4
Explanation
x $$\alpha $$ $${1 \over {{T_C}}}$$
curie law for paramagnetic substane
$${{{x_1}} \over {{x_2}}}$$ = $${{{T_{{C_2}}}} \over {{T_{{C_1}}}}}$$
$${{2.8 \times {{10}^{ - 4}}} \over {{x_2}}} = {{300} \over {350}}$$
x2 = $${{2.8 \times 350 \times {{10}^{ - 4}}} \over {300}}$$
= 3.266 $$ \times $$ 10$$-$$4
curie law for paramagnetic substane
$${{{x_1}} \over {{x_2}}}$$ = $${{{T_{{C_2}}}} \over {{T_{{C_1}}}}}$$
$${{2.8 \times {{10}^{ - 4}}} \over {{x_2}}} = {{300} \over {350}}$$
x2 = $${{2.8 \times 350 \times {{10}^{ - 4}}} \over {300}}$$
= 3.266 $$ \times $$ 10$$-$$4
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