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Two wire have length 'l1' and 'l2' carr...

Two wire have length '`l_1' and 'l_2`' carries equal current Two circular loop made by these wires, then ratio of their magnetic moment is 3 : 2 respectively then length ratio of wires respectively:

A

`9:4`

B

`4:9`

C

`sqrt3:sqrt2`

D

`sqrt2:sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
C
`M_1/M_2 = (IA_1)/(IA_2) implies M_1/M_2 = (r_1/r_1)^2`
`l_1 =2pir_1, r_1 = l_1/(2pi) , r_2 =l_2/(2pi) implies r prop l`
`M_1/M_2 =(l_1/l_2)^2, l_1/l_2 = sqrt(M_1/M_2)=sqrt(3/2)`
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