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The magnetic susceptibility of a paramag...

The magnetic susceptibility of a paramagnetic substance at `-73^(@)` is `0.0050`. Calculate magnetic susceptibility at `-173^(@)`C.

A

`0.010`

B

`0.0025`

C

`0.0020`

D

`0.0030`

Text Solution

Verified by Experts

The correct Answer is:
A

According to Curie.s law, `chi_(m) = (mu_(0) C)/( T) , mu_(0) C` is constant
`therefore chi_(m) prop (1)/(T)`.
`therefore (chi_(m_(2) ) )/( chi_(m_(1) ) )= (T_1)/( T_2)`
`therefore (chi_(m_2) ) /( 0.005) = (273 - 73)/( 273-173) = (200)/( 100)`
`therefore chi_(m_2) = 2 xx 0.005 therefore chi_(m_2) = 0.010`
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