(a) A
(b) B
(c) C
(d) D
Choose the correct option
1. (a), (c)
2. (b), (c)
3. (d) only
4. (a), (d)
(a) is increased
(b) is decreased
(c) remains unchanged
(d) remains zero
Choose the correct option
1. (a), (b)
2. (b), (c)
3. (d) only
4. (c), (d)
The figure shows a closed surface which intersects a conducting sphere. If a positive charged is placed at the point P, the flux of the electric field through the closed surface
(a) will remain zero
(b) will become positive
(c) will become negative
(d) will become undefined
Choose the correct option
1. (a), (b)
2. (b), (c)
3. (b) only
4. (a), (d)
Two metal spheres of capacitances C1 and C2 carry some charges. They are put in contact and then separated. The final charges Q1 and Q2 on them will satisfy
1. \(\frac{\mathrm{Q}_{1}}{\mathrm{Q}_{2}}<\frac{\mathrm{C}_{1}}{\mathrm{C}_{2}}\)
2. \(\frac{\mathrm{Q}_{1}}{\mathrm{Q}_{2}}=\frac{\mathrm{C}_{1}}{\mathrm{C}_{2}}\)
3. \(\frac{\mathrm{Q}_{1}}{\mathrm{Q}_{2}}>\frac{\mathrm{C}_{1}}{\mathrm{C}_{2}}\)
4. \(\frac{\mathrm{Q}_{1}}{\mathrm{Q}_{2}}<\frac{\mathrm{C}_{2}}{\mathrm{C}_{1}}\)
An electric dipole is placed at the centre of a sphere. Mark the correct options:
(a) The flux of the electric field through the sphere is zero.
(b) The electric field is zero at every point of the sphere.
(c) The electric field is not zero anywhere on the sphere.
(d) The electric field is zero on a circle on the sphere.
Choose the correct option
1. (a) , (c)
2. (b) , (c)
3. (d) only
4. (a) , (d)
If the flux of the electric field through a closed surface is zero,
(a) the electric field must be zero everywhere on the surface
(b) the electric field may be zero everywhere on the surface
(c) the charge inside the surface must be zero
(d) the charge in the vicinity of the surface must be zero.
Choose the correct option
1. (a) , (b)
2. (b) , (c)
3. (d) only
4. (a) , (d)
A large nonconducting sheet M is given a uniform charge density. Two uncharged small metal rods A and B are placed near the sheet as shown in the figure.
(a) M attracts A
(b) M attracts B
(c) A attracts B
(d) B attracts A
Choose the correct option
1. (a) , (b)
2. (c) , (d)
3. (a) , (d)
4. All of the above
A positive point charge Q is brought near an isolated metal cube.
(a) The cube becomes negatively charged.
(b) The cube becomes positively charged.
(c) The interior becomes positively charged and the surface becomes negatively charged.
(d) The interior remains charge free and the surface gets nonuniform charge distribution.
Choose the correct option
1. (a) , (b)
2. (b) , (c)
3. (d) only
4. (a) , (d)
Given below are four statements:
(a) | Gauss’s law is valid only for symmetrical charge distributions. |
(b) | Gauss’s law is valid only for charges placed in vacuum. |
(c) | The electric field calculated by Gauss’s law is the field due to the charges inside the Gaussian surface. |
(d) | The flux of the electric field through a closed surface due to all the charges is equal to the flux due to the charges enclosed by the surface. |
Choose the correct option:
1. zero
2. \(q/\varepsilon_0~\)
3. \(q/2\varepsilon_0~\)
4. \(2q/\varepsilon_0~\)