1.

(a) List the factors onwhich the resistanceof a conductorin the shape of the wire depend. (b) Why aremetals good conductors of electricity whereasglass is a bad conductorof electricity ? Give reason . (c ) Why are alloys commonly used in eletricalheating devices ? Give reason.

Answer»

Solution :(a) Factorsonwhich theresistance of a conductor in the SHAPEOF a wire depends.
(i) Theresistanceof a straightconductoris directlyproportionalto its length.
`R prop l`
(ii) The resistanceof a straightconductoris inversely proportionalto its area ofcross-section .
`R prop l/A`
From (i) and (ii)
`R prop l/A`
`:. R = rho'l/A`, ...[`rho` = constantcalledresistivity]
(iii) the resistanceof a conductor also dependsuponthe temperature of the conductorand nature of materialused.
(b)Metalshave free electronswhich helpsthem in the conductionof electricitywhereasglass hasno free electronsthereforeit is aninsulator.
The resistivityof GLASSIS very HIGH `(=10^(10 ) "to" 10^(14) Omega m)` thereforeit is a poorconductorof electricitywhearesthe resistivity of metalsis lower,thereforemetalsare food conductors of electricity.
(c ) Alloys arecommonly used in elctricalheatingdevices because -
the resistivitiesof alloys are muchhigherthan those of the puremetals(fromwhich theyare made),
an alloy does notundergo oxidation(or burn) easilyeven athigh temperature . Thusheatingelementsof electricalheatingappliances such aselectric iron,toaster, etc.are madeof an alloyrather thana pure metal .


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