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A metal rod is subjected to cycles of ma...

A metal rod is subjected to cycles of magnetisation at the rate of 42 Hz. Denstiy of the metal is ` 6 xx 10^(3)` kg `m^(-3)` and its specific heat capacity is `0.1 xx 10^(-3)` cal `kg^(-1)""^(@)C^(-1)` . If the area of of its B-H loop corresponds to energy density of `10^(-2) Jm^(-3)`, then the rise in its temperature in one minute is

A

`5^(@)`C

B

`10^(@)`C

C

`15^(@)`C

D

`20^(@)`C

Text Solution

Verified by Experts

The correct Answer is:
B
Energy of area of B-H loop
`Delta`Q = ms (`Delta theta` )
`rArr " " 1-^(-2) xx 42 xx 60 = 6 xx 10^(3) xx 0.1 xx 10^(-3) xx 4.2 xx Delta theta`
`rArr " " Delta theta = (10^(-2) xx 42 xx 60)/(6 xx 10^(3) xx 0.1 xx 10^(-3) xx 4.2) `
`rArr " " Delta theta = 10^(@)` C
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