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Q. No.In the given circuit all resistances are of value of \(R ~\text{ohm}\) each. The equivalent resistance between \(A \) and \(B\) is:
1. \(\dfrac{5R}{2}\)
2. \(3R\)
3. \(\dfrac{5R}{3}\)
4. \(2R\)
Subtopic: Combination of Resistors |
Level 3: 35%-60%
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The figure shows three circuits \(\mathrm{I, II}\) and \(\mathrm{III}\) which are connected to a \(3~\text{V}\) battery. If the powers dissipated by the configurations \(\mathrm{I, II}\) and \(\mathrm{III}\) are \({P}_1,{P}_2\) and \({P}_3\) respectively, then:
1. \({P}_3>{P}_2>{P}_1 \)
2. \({P}_2>{P}_1>{P}_3 \)
3. \({P}_1>{P}_3>{P}_2\)
4. \({P}_1>{P}_2>{P}_3\)
1. \({P}_3>{P}_2>{P}_1 \)
2. \({P}_2>{P}_1>{P}_3 \)
3. \({P}_1>{P}_3>{P}_2\)
4. \({P}_1>{P}_2>{P}_3\)
Subtopic: Heating Effects of Current |
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Level 2: 60%+
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A uniform wire of length \(l\) and radius \({r}\) has a resistance of \(100~\Omega.\) It is recast into a wire of radius \(\frac{r}{2}.\) The resistance of the new wire will be:
1. \(400~\Omega\)
2. \(100~\Omega\)
3. \(200~\Omega\)
4. \(1600~\Omega\)
1. \(400~\Omega\)
2. \(100~\Omega\)
3. \(200~\Omega\)
4. \(1600~\Omega\)
Subtopic: Derivation of Ohm's Law |
65%
Level 2: 60%+
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In a meter bridge, as shown in the figure. It is given that resistance \(Y = 12.5~ \Omega\) and that balance are obtained at a distance \(39.5 ~\text{cm}\) from the end \(A\) (by Jockey \(J\)). After interchanging the resistances \(X\) and \(Y,\) a new balance point is found at a distance \(l_2\) from the end \(A.\) What are the values of \(X\) and \(l_2?\)
1. \(19.15~\Omega ~\text{and } 39.5 ~\text{cm}\)
2. \(8.16~\Omega ~\text{and } 60.5 ~\text{cm}\)
3. \(8.16~\Omega ~\text{and } 39.5 ~\text{cm}\)
4. \(19.15~\Omega ~\text{and } 60.5 ~\text{cm}\)
1. \(19.15~\Omega ~\text{and } 39.5 ~\text{cm}\)
2. \(8.16~\Omega ~\text{and } 60.5 ~\text{cm}\)
3. \(8.16~\Omega ~\text{and } 39.5 ~\text{cm}\)
4. \(19.15~\Omega ~\text{and } 60.5 ~\text{cm}\)
Subtopic: Meter Bridge |
76%
Level 2: 60%+
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In the circuit shown, when the switch \({S}\) is closed, what will be the value of the current \({i}\)?
| 1. | \(3~\text{A}\) | 2. | \(5~\text{A}\) |
| 3. | \(4~\text{A}\) | 4. | \(2~\text{A}\) |
Subtopic: Kirchoff's Current Law |
80%
Level 1: 80%+
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A \(9~\text{V}\) battery with internal resistance of \(0.5~\Omega\) is connected across an infinite network as shown in the figure. All ammeters \({A}_1,{A}_2,{A}_3\) and voltmeter \({V}\) are ideal.
Choose the correct statement.
Choose the correct statement.
| 1. | Reading of the voltmeter \({V}\) is \(9~\text{V}\) |
| 2. | Reading of the ammeter \({A}_1\) is \(18~\text{A}\) |
| 3. | Reading of the ammeter \({A}_1\) is \(2~\text{A}\) |
| 4. | Reading of the voltmeter \({V}\) is \(7~\text{V}\) |
Subtopic: Combination of Resistors |
55%
Level 3: 35%-60%
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The mobility of electrons in a semiconductor is defined as the ratio of their drift velocity to the applied electric field. If, for an n-type semiconductor, the density of electrons is \(10^{19}~\text{m}^{-3}\) and their mobility is \(1.6~\text{m}^2/\text{(V.s)},\) then the resistivity of the semiconductor (since it is an n-type semiconductor, the contribution of holes is ignored) is close to:
1. \(2~\Omega \text{m}\)
2. \(4~\Omega \text{m}\)
3. \(0.4~\Omega \text{m}\)
4. \(0.2~\Omega \text{m}\)
1. \(2~\Omega \text{m}\)
2. \(4~\Omega \text{m}\)
3. \(0.4~\Omega \text{m}\)
4. \(0.2~\Omega \text{m}\)
Subtopic: Current & Current Density |
70%
Level 2: 60%+
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A potentiometer \({PQ}\) is set up to compare two resistances as shown in the figure. The ammeter A in the circuit reads \(1.0~\text{A}\) when the two-way key \({K}_3\) is open. The balance point is at a length \(l_1~\text{cm}\) from \({P}\) when the two-way key \({K}_3\) is plugged in between \(2\) and \(1,\) while the balance point is at a length \(l_2~\text{cm}\) from \({P}\) when the key \({K}_3\) is plugged in between \(3\) and \(1.\) The ratio of two resistances \(\frac{{R}_1}{{R}_2},\) is found to be:
1. \(\frac{l_1}{l_1+l_2}\)
2. \(\frac{l_2}{l_2-l_1}\)
3. \(\frac{l_1}{l_1-l_2}\)
4. \(\frac{l_1}{l_2-l_1}\)
1. \(\frac{l_1}{l_1+l_2}\)
2. \(\frac{l_2}{l_2-l_1}\)
3. \(\frac{l_1}{l_1-l_2}\)
4. \(\frac{l_1}{l_2-l_1}\)
Subtopic: Meter Bridge |
Level 4: Below 35%
JEE
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The drift speed of electrons when a current of \(1.5~\text{A}\) flows through a copper wire of cross-sectional area \(5~\text{mm}^2\) is \(v.\) If the electron density in copper is \(9\times10^{28}~\text{m}^{-3},\) and the charge of an electron is \(e=1.6\times 10^{-19}~\text{C},\) then the value of the drift speed \(v\) (in mm/s) is close to:
| 1. | \(0.02\) | 2. | \(3\) |
| 3. | \(2\) | 4. | \(0.2\) |
Subtopic: Current & Current Density |
71%
Level 2: 60%+
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If the drift velocity \((v_d)\) of charge carriers in a material varies with the applied electric field \((E)\) according to the relationship, \(v_d\propto \sqrt {{E}},\) which graph best represents the voltage-current \((V\text-I)\) characteristic for a wire made of such material?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Current & Current Density |
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Level 3: 35%-60%
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