Two resistors of resistance, \(100\) \(\Omega\) and \(200\) \(\Omega\) are connected in parallel in an electrical circuit. The ratio of the thermal energy developed in \(100\) \(\Omega\) resistor to that in \(200\) \(\Omega\) resistor in a given time is:
1. \(4:1\)
2. \(1:2\)
3. \(2:1\)
4. \(1:4\)
Subtopic:  Heating Effects of Current |
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A filament bulb (\(500\) W, \(100\) V) is to be used in a \(230\) V main supply. When a resistance\(R\) is connected in series, the bulb works perfectly and consumes \(500\) W. The value of \(R\) is:

1. \(230\) Ω 2. \(46\) Ω
3. \(26\) Ω 4. \(13\) Ω
Subtopic:  Heating Effects of Current |
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A uniformly increasing current flows through a \(30\) \(\Omega\) resistance, as shown in the graph.
    
The thermal energy generated in the resistance due to Joule heating is:
1. \(240\) J
2. \(480\) J
3. \(160\) J
4. \(320\) J
Subtopic:  Heating Effects of Current |
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