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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)/(3)Am^(-1)`

B

`(2)/(3)Am^(-1)`

C

`6 Am^(-1)`

D

`2.4 Am^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
As curie law explains, we can deduce a formula for the relation between magnetic field induction, tempreature and magnetisation.
`i.e.,`
`I("magnetisation")oo(B("magnetic field induction"))/(t("tempreture in kelvin"))`
`rArr (I_(2))/(I_(1))=(B_(2))/(B_(1))xx(t_(1))/(t_(2))`
Let us suppose, here `I_(1)=8 Am^(_1)B_(1)=0.6T, t_(1)=4K`
`B_(2)=0.2T,t_(2)=16K`
`rArr (0.2)/(0.6)xx(4)/(16)=(I_(2))/(8)`
`rArr`
`I_(2)=8xx(1)/(12)=(2)/(3)Am^(-1)`
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Knowledge Check

  • A paramagnetic sample shows a net magnetization of 8 Am^(-1) when placed in an external magnetic field of 0.6 T at a temperature of 4 K When the same sample is placed in an external magnetic field of 0.2 T at a temperature of 16 K, the magnetization will be

    A
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    C
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    D
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  • A paramagnetic sample shows a net magnetisation of 0.8A-m^(-1) when plced in an external mgnetic field of 0.8T at a temperature of 5K. Whent the same sample is placed in an external magnetic field of 0.4T at temperature of 20K, the magnetisation will be

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