Q. No.Identical resistances, of value \(R\), each, are connected along the edges of a tetrahedron. If the equivalent resistance of this combination is measured between two vertices, it will be:
| 1. | \(\dfrac{R}{2}\) | 2. | \(\dfrac{R}{4}\) |
| 3. | \(\dfrac{R}{6}\) | 4. | \(2R\) |
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
The current \(I_1\) through the \(8~\Omega\) resistance in the figure given below will be:
| 1. | \(1~\text{A}\) | 2. | \(\dfrac{7}{6} ~\text{A}\) |
| 3. | \(\dfrac{5}{6} ~\text{A}\) | 4. | \(\dfrac{1}{2}~\text{A}\) |
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
A straight wire of resistance \(R\) is shaped into the form of an equilateral triangle and its ends joined. The resistance of this triangle between the two vertices is:
| 1. | \(\dfrac{R}{3}\) | 2. | \(\dfrac{R}{9}\) |
| 3. | \(\dfrac{2R}{9}\) | 4. | \(\dfrac{2R}{3}\) |
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
The resistivity of a wire changes gradually, linearly along the length — from \(\rho_0\) to \(2\rho_0\). The total length of the wire is \(l\), while its cross-section is \(A\). The total resistance of the wire is:
| 1. | \(\dfrac{\rho_0 l}{A} \ln 2\) | 2. | \(\dfrac{\rho_0 l}{2A} \ln 2\) |
| 3. | \(\dfrac{3 \rho_{0} l}{A}\) | 4. | \(\dfrac{3}{2} {\dfrac{\rho_0l}{A}}\) |
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
The thermal energy generated in the resistance due to Joule heating is:
1. \(240\) J
2. \(480\) J
3. \(160\) J
4. \(320\) J
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
1. \(|E-E_1|<|E-E_2|\)
2. \(|E+E_1|<|E+E_2|\)
3. \(|E-E_1|>|E-E_2|\)
4. \(|E+E_1|>|E+E_2|\)
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
Several resistances \(R_1, R_2, .........R_n\) are connected in parallel. The equivalent resistance of the combination is \(R\).
| Assertion (A): | The fractional error in \(R\) is most affected by that of the smallest resistance in the combination, other things being equal. |
| Reason (R): | In parallel, the conductances add. The contribution to the overall error in the conductance is largest for the largest conductance or the smallest resistance. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
| 1. | \(100~\Omega\) | 2. | \(50~\Omega\) |
| 3. | \(200~\Omega\) | 4. | \(400~\Omega\) |
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
| 1. | \(\dfrac31\) | 2. | \(\dfrac21\) |
| 3. | \(\dfrac11\) | 4. | \(\dfrac53\) |
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
If the tapping point \(C\) is moved so that the length \(BC\) is reduced to half its initial value, then the voltage across the \(15~\Omega\) resistor,
| 1. | increases by \(1\) V |
| 2. | decreases by \(1\) V |
| 3. | increases by \(3\) V |
| 4. | decreases by \(3\) V |
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
© 2025 GoodEd Technologies Pvt. Ltd.