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A paramagnetic sample shows a net magnet...

A paramagnetic sample shows a net magnetisation of `8Am^-1` when placed in an external magnetic field of `0*6T` at a temperature of `4K`. When the same sample is placed in an external magnetic field of `0*2T` at a temperature of `16K`, the magnetisation will be

A

`32/3Am^-1`

B

`2/3Am^-1`

C

`6Am^-1`

D

`2*4Am^-1`

Text Solution

Verified by Experts

The correct Answer is:
B
Here, `I_1=8Am^-1`, `B_1=0*6T`, `t_1=4K`, `I_2=?`, `B_2=0*2T`, `t_2=16K`
According to Curie law, `Iprop(B("magnetic field induction"))/(t("tempin kelvin"))`
`:. I_2/I_1=B_2/B_1xxt_1/t_2=0.2/0*6xx4/16=1/12` or `I_2=I_1xx1/12=8/12=2/3Am^-1`
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