Q. No.Two resistors of \(200~\Omega\) and \(400~\Omega\) are connected in series with a battery of \(100~\text{V}.\) A bulb rated at \(200~\text{V},100~\text{W}\) is connected across the \(400~\Omega\) resistance. The potential drop across the bulb is: (in \(\text{V}\))
1. \(25\)
2. \(50\)
3. \(66.6\)
4. \(100\)
1. \(25\)
2. \(50\)
3. \(66.6\)
4. \(100\)
Subtopic: Â Heating Effects of Current |
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Refer to the circuit diagram given below. The heat generated across the \(6~\Omega\) resistance in \(100\) second is \(\dfrac{\alpha}{100}~\text{J}.\) The value of \(\alpha\) is: (Nearest integer)
1. \(32\)
2. \(35\)
3. \(39\)
4. \(45\)
1. \(32\)
2. \(35\)
3. \(39\)
4. \(45\)
Subtopic: Â Heating Effects of Current |
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Level 2: 60%+
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A battery with EMF \(E\) and internal resistance \(r\) is connected across a resistance \(R\). The power consumption in \(R\) will be maximum when:
1. \(R = 2r\)
2. \(R=\dfrac{r}{2}\)
3. \(R=\sqrt{2} r\)
4. \(R=r\)
1. \(R = 2r\)
2. \(R=\dfrac{r}{2}\)
3. \(R=\sqrt{2} r\)
4. \(R=r\)
Subtopic: Â Heating Effects of Current |
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An electric power line having total resistance of \(2~\Omega,\) delivers \(1~\text{kW}\) of power of \(250~\text{V}.\) The percentage efficiency of transmission line is:
1. \(96.9\)
2. \(86.5\)
3. \(100\)
4. \(92.5\)
1. \(96.9\)
2. \(86.5\)
3. \(100\)
4. \(92.5\)
Subtopic: Â Heating Effects of Current |
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Level 3: 35%-60%
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There are \(n \) number of identical electric bulbs, each is designed to draw a power \(P\) independently from the mains supply. They are now joined in series across the mains supply. The total power drawn by the combination is:
1. \(P\)
2. \(P/n^2\)
3. \(P/n\)
4. \(nP\)
1. \(P\)
2. \(P/n^2\)
3. \(P/n\)
4. \(nP\)
Subtopic: Â Heating Effects of Current |
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Level 2: 60%+
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A motor operating on \(100 ~\text{V}\) draws a current of \(1 ~\text{A}.\) If the efficiency of the motor is \(91.6\%,\) then the loss of power in units of cal/s is:
1. \(2\)
2. \(6.2\)
3. \(4\)
4. \(8.4\)
1. \(2\)
2. \(6.2\)
3. \(4\)
4. \(8.4\)
Subtopic: Â Heating Effects of Current |
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The battery of a mobile phone is rated as \(4.2~ \text V, 5800 \text{ mAh}.\) How much energy is stored in it when fully charged?
1. \(24.4 ~ \text {kJ}\)
2. \(48.7 ~ \text {kJ}\)
3. \(87.7 ~\text {kJ}\)
4. \(43.8 ~ \text {kJ}\)
1. \(24.4 ~ \text {kJ}\)
2. \(48.7 ~ \text {kJ}\)
3. \(87.7 ~\text {kJ}\)
4. \(43.8 ~ \text {kJ}\)
Subtopic: Â Heating Effects of Current |
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An electric bulb rated \(50\) W \(-200\) V is connected across a \(100\) V supply. The power dissipation of the bulb is –
1. \(12.5\) W
2. \(25\) W
3. \(100\) W
4. \(50\) W
1. \(12.5\) W
2. \(25\) W
3. \(100\) W
4. \(50\) W
Subtopic: Â Heating Effects of Current |
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Level 1: 80%+
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The number of electrons flowing per second in the filament of a \(110\) W bulb operating at \(220\) V is :
(Given \(\mathrm{e}=1.6 \times 10^{-19} \mathrm{C}\))
1. \(1.25 \times 10^{19}\)
2. \(6.25 \times 10^{17}\)
3. \(6.25 \times 10^{18}\)
4. \(31.25 \times 10^{17}\)
(Given \(\mathrm{e}=1.6 \times 10^{-19} \mathrm{C}\))
1. \(1.25 \times 10^{19}\)
2. \(6.25 \times 10^{17}\)
3. \(6.25 \times 10^{18}\)
4. \(31.25 \times 10^{17}\)
Subtopic: Â Heating Effects of Current |
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If the current through an incandescent lamp decreases by \(20\%,\) then the change in its illumination is:
1. \(36\%\)
2. \(64\%\)
3. \(20\%\)
4. \(40\%\)
1. \(36\%\)
2. \(64\%\)
3. \(20\%\)
4. \(40\%\)
Subtopic: Â Heating Effects of Current |
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