A filament bulb \((500~\text{W},100~\text{V})\) is to be used in a \(230~\text{V}\) main supply. When a resistance\(R\) is connected in series, the bulb works perfectly and consumes \(500~\text{W}.\) The value of \(R\) is:

1. \(230~\Omega\) 2. \(46~\Omega\) 
3. \(26~\Omega\)  4. \(13~\Omega\) 
Subtopic:  Heating Effects of Current |
 67%
Level 2: 60%+
NEET - 2016
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The charge flowing through a resistance \(R\) varies with time \(t\) as \(Q=at-bt^2,\) where \(a\) and \(b\) are positive constants. The total heat produced in \(R\) is:
1. \(\dfrac{a^3R}{3b}\) 2. \(\dfrac{a^3R}{2b}\)
3. \(\dfrac{a^3R}{b}\) 4. \(\dfrac{a^3R}{6b}\)
Subtopic:  Heating Effects of Current |
 56%
Level 3: 35%-60%
NEET - 2016
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