1.

A uniform wire when connected directly across a 220 V line produces heat H per second. If wire is divided into n parts and all parts are connected in parallel across a 200 V line, then the heat produced per second will beA. `H_(s)`B. `nH_(s)`C. `n^(2)H_(s)`D. `H_(s)//n^(2)`

Answer» Correct Answer - C
V=200 V
` H=i^(2)Rt " " (because i=V//r)`
`H_(s)=(V^(2))/(nR_(eq))t`
In parallel, equivalent resistance of n parts is
` R_(eq)=(r )/(n)`
where, r is the resistance of each part.
`H=(V^(2))/((r//n))t=(nV^(2))/(t)t`
`therefore " " H=n^(2)H_(s)`


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