Q. No.Two identical charged conducting spheres \(A\) and \(B\) have their centres separated by a certain distance. Charge on each sphere is \(q\) and the force of repulsion between them is \(F.\) A third identical uncharged conducting sphere is brought in contact with sphere \(A\) first and then with \(B\) and finally removed from both. New force of repulsion between spheres \( A\) and \(B\) (Radii of \(A\) and \(B\) are negligible compared to the distance of separation so that for calculating force between them they can be considered as point charges) is best given as:
| 1. | \(\dfrac{F}{2}\) | 2. | \(\dfrac{3 F}{8}\) |
| 3. | \(\dfrac{3 F}{5}\) | 4. | \(\dfrac{2 F}{3}\) |
Subtopic: Coulomb's Law |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyTwo identical rectangular plane sheet \(A\) and \(B\) each of surface charge density \(\varepsilon_0~ \text{Cm}^{-2}\) are placed parallel to each other as shown in figure. The electric field at the mid point \(P\) will be:
| 1. | \(2 ~\text{NC}^{-1}\) | 2. | \(1~\text{NC}^{-1}\) |
| 3. | \(0.5~\text{NC}^{-1}\) | 4. | zero |
Subtopic: Electric Field |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyMatch List-I with List-II:
(Here symbols have their usual meaning and \(R\) is the radius of the thin shell)
Choose the correct answer from the options given below:
| List-I (Application of Gauss Law) |
List-II (Value of \(|E|\)) |
||
| A. | The field inside a thin shell | I. | \( \dfrac{\lambda}{2 \pi \varepsilon_0 r} \hat{n} \) |
| B. | The field outside a thin shell | II. | \( \dfrac{q}{4 \pi \varepsilon_0 R^2} \hat{r} \) |
| C. | The field of thin shell at the surface | III. | \( \dfrac{q}{4 \pi \varepsilon_0 r^2} \hat{r}\) |
| D. | The field due to a long charged wire | IV. | zero |
Choose the correct answer from the options given below:
| 1. | A-IV, B-III, C-I, D-II |
| 2. | A-I, B-II, C-III, D-IV |
| 3. | A-IV, B-III, C-II, D-I |
| 4. | A-I, B-III, C-II, D-IV |
Subtopic: Gauss's Law |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyA particle of mass \(m\) and charge \(q\) is placed in a uniform electric field \(E\) at \(t=0~\text s.\) The kinetic energy of the particle after time \(t\) is:
| 1. | \(\dfrac{Eqm}{t}\) | 2. | \(\dfrac{E^2q^2t^2}{2m}\) |
| 3. | \(\dfrac{2E^2t^2}{qm}\) | 4. | \(\dfrac{Eq^2m}{2t^2}\) |
Subtopic: Electric Field |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyA metal cube of a side \(5~\text{cm},\) is charged with \(6~\text{μC.}\) The surface charge density on the cube, is:
| 1. | \(0.125\times10^{-3}~\text{C m}^{-2}\) | 2. | \(0.25\times10^{-3}~\text{C m}^{-2}\) |
| 3. | \(4\times10^{-3}~\text{C m}^{-2}\) | 4. | \(0.4\times10^{-3}~\text{C m}^{-2}\) |
Subtopic: Electric Charge |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyIf \(\oint_s \vec{E} \cdot {d \vec S}=0\) over a surface, then:
| 1. | the electric field inside the surface is necessarily uniform. |
| 2. | the number of flux lines entering the surface must be equal to the number of flux lines leaving it. |
| 3. | the magnitude of electric field on the surface is constant. |
| 4. | all the charges must necessarily be inside the surface. |
Subtopic: Gauss's Law |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyAn electric dipole is placed at an angle of \(30^\circ\) with an electric field of intensity \(2\times 10^5 ~\text{NC}^{-1}\). It experiences a torque equal to \(4~\text{N-m}\). If the dipole length is \(2\) cm, calculate the magnitude of the charge on the dipole.
| 1. | \(2~\text{mC}\) | 2. | \(8~\text{mC}\) |
| 3. | \(6~\text{mC}\) | 4. | \(4~\text{mC}\) |
Subtopic: Electric Dipole |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyAccording to Gauss's law in electrostatics, the electric flux through a closed surface depends on:
| 1. | the area of the surface |
| 2. | the quantity of charges enclosed by the surface |
| 3. | the shape of the surface |
| 4. | the volume enclosed by the surface |
Subtopic: Gauss's Law |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyA charge \(Q~\mu\text{C}\) is placed at the centre of a cube. The flux coming out from any one of its faces will be (in SI units):
| 1. | \(\dfrac{Q}{\varepsilon_0}\times10^{-6}\) | 2. | \(\dfrac{2Q}{3\varepsilon_0}\times10^{-3}\) |
| 3. | \(\dfrac{Q}{6\varepsilon_0}\times10^{-3}\) | 4. | \(\dfrac{Q}{6\varepsilon_0}\times10^{-6} \) |
Subtopic: Gauss's Law |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyTwo point charges \({-q}\) and \({+q}\) are placed at a distance of \({L},\) as shown in the figure.
The magnitude of electric field intensity at a distance \({R}~(R \gg L )\) varies as:
The magnitude of electric field intensity at a distance \({R}~(R \gg L )\) varies as:
| 1. | \(\dfrac{1}{{R}^{6}}\) | 2. | \(\dfrac{1}{{R}^{2}}\) |
| 3. | \(\dfrac{1}{{R}^{3}}\) | 4. | \(\dfrac{1}{{R}^{4}}\) |
Subtopic: Electric Dipole |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology
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