1.

Two wires `A` and `B` made of same material and having their lengths in the ratio `6:1`a re connected in series The potential difference ascross the wire `3V` and `2V` respectively. If `r_A` and `r_B` are the radii of `A` and `B` respectively, then `r_B/r_A` isA. `1/4`B. `1/2`C. 1D. 2

Answer» Correct Answer - B
`V=iR`
`:. VpropR` (as i= constant)
`:. V_A/V_B=((rhoI_A)/(pir_A^2))((pir_B^2)/(rhol_B))`
or `r_B/r_A=sqrt(V_A/V_BxxI_B/l_A)`
`=sqrt(3/2xx1/6)=1/2`


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