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Electric Charges and Fields

Multiple Choice Questions

11.

A conducting sphere of radius R = 20 cm is given by a charge Q = 16μC. What is E at centre?

• 3.6×106 N/C

• 1.8×10N/C

• Zero

• 0.9×106 N/C

12.

Two charged spheres separated by a distance d exert some force (F) on each other. If they are immersed in a liquid of dielectric constant 4, then what is the force exerted, if all other conditions are same ?

• 2F

• 4F

• $\frac{\mathrm{F}}{2}$

• $\frac{\mathrm{F}}{4}$

13.

In a discharge tube ionization of enclosed gas is produced due to collisions between

• positive ions and neutral atoms/molecules

• negative electrons and neutral atoms/molecules

• photons and neutral atoms/molecules

• photons and neutral atoms/molecules

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14.

A charge q is located at the centre of a cube. The electric flux through any face is

• $\frac{\mathrm{\pi q}}{6\left(4{\mathrm{\pi \epsilon }}_{0}\right)}$

• $\frac{\mathrm{q}}{6\left(4{\mathrm{\pi \epsilon }}_{0}\right)}$

• $\frac{2\mathrm{\pi q}}{6\left(4{\mathrm{\pi \epsilon }}_{0}\right)}$

15.

Number of extra electrons in a body of charge -80$\mathrm{\mu }$C, is

• 80 × 1015

• 80 × 10−15

• 5 × 1014

• 1.28 × 10−17

16.

The figure shows three points A, B and C in a region of a uniform electric field $\stackrel{\to }{\mathrm{E}}$. The line AB is perpendicular and BC is parallel to the field lines. Then which of the following holds good?

• VA = VB = VC

• VA = VB > VC

• VA = VB < VC

• VA > VB = VC

17.

Two spheres of radii R1 and R2 respectively are charged and joined by a wire. The ratio of the electric field of spheres is :

• $\frac{{\mathrm{R}}_{2}^{2}}{{\mathrm{R}}_{1}^{2}}$

• $\frac{{\mathrm{R}}_{1}^{2}}{{\mathrm{R}}_{2}^{2}}$

• $\frac{{\mathrm{R}}_{2}}{{\mathrm{R}}_{1}}$

• $\frac{{\mathrm{R}}_{1}}{{\mathrm{R}}_{2}}$

18.

If an insulated non-conducting sphere of radius R has charge density ρ. The electric field at a distance r from the centre of sphere (r > R) will be

19.

Two parallel large thin metal sheets have equal surface charge densities ( σ = 26.4 × 10-12 C/m2 ) of opposite signs. The electric field between these sheets is

• 1.5 N/C

• 1.5 × 10-10 N/C

• 3 N/C

• 3 × 10-10 N/C

20.

The spatial distribution of the electric field due to two charges (A, B) is shown in figure. Which one of the following statements is correct?

• A is +ve and +B is -ve and

• A is $-$ve and B is +ve;

• both are +ve but A > B

• both are $-$ve but A > B