﻿ Two spherical conductors A and B of radii 1 mm and 2 mm are separated by a distance of 5 cm and are uniformly charged. If the spheres are connected by a conducting wire then in equilibrium condition, the ratio of the magnitude of the electric fields at the surface of spheres A and B is | Electric Charges and Fields

## Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

## Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

## Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

# 11.Two spherical conductors A and B of radii 1 mm and 2 mm are separated by a distance of 5 cm and are uniformly charged. If the spheres are connected by a conducting wire then in equilibrium condition, the ratio of the magnitude of the electric fields at the surface of spheres A and B is 1 : 4 4 : 1 1:2 1:2

D.

1:2

484 Views

12.

Which of the following units denotes the dimensions ML2 /Q2, where Q denotes the electric charge?

• Weber (Wb)

• Henry (H)

• Wb/m2

• Wb/m2

182 Views

13.

A charged ball B hangs from a silk thread S which makes an angle θ with a large charged conducting sheet P, as shown in the figure. The surface charge density σ of the sheet is proportional to

• cos θ

• cot θ

• sin θ

• sin θ

367 Views

14.

Two point charges + 8q and – 2q are located at x = 0 and x = L respectively. The location of a point on the x axis at which the net electric field due to these two point charges is zero is

• 2L

• L/4

• 8L

• 8L

173 Views

15.

Two thin wires rings each having a radius R are placed at a distance d apart with their axes coinciding. The charges on the two rings are +q and –q. The potential difference between the centres of the two rings is

• zero

• zero

174 Views

16.

A charged particle q is shot towards another charged particle Q which is fixed, with a speed v it approaches Q upto a closest distance r and then returns. If q were given a speed 2v, the closest distances of approach would be

• r

• 2r

• r/2

• r/2

341 Views

17.

Four charges equal to −Q are placed at the four corners of a square and a charge q is at its centre. If the system is in equilibrium the value of q is

413 Views

18.

From a uniform circular disc of radius R and mass 9M, a small disc of radius R/3 is removed as shown in the figure. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through centre of disc is:

• $\frac{37}{9}M{R}^{2}$

• 4MR2

• $\frac{40}{9}M{R}^{2}$

• 10 MR2

19.

A charge Q placed at the centre of a metallic spherical shell with inner and outer radii R1 and R2 respectively. The normal component of the electric field at any point on the Gaussian surface with radius between R1 and R2 will be

• Zero

• $\frac{\mathrm{Q}}{4{{\mathrm{\pi R}}_{1}}^{2}}$

• $\frac{\mathrm{Q}}{4{{\mathrm{\pi R}}_{2}}^{2}}$

20.

A sphere of radius R has a uniform volume charge density ρ. The magnitude of electric field at a distance r from the centre of the sphere, where r > R, is

• $\frac{\mathrm{\rho }}{4{\mathrm{\pi \epsilon }}_{0}{\mathrm{r}}^{2}}$

• $\frac{{\mathrm{\rho R}}^{2}}{{\mathrm{\epsilon }}_{0}{\mathrm{r}}^{2}}$

• $\frac{{\mathrm{\rho R}}^{3}}{{\mathrm{\epsilon }}_{0}{\mathrm{r}}^{2}}$

• $\frac{{\mathrm{\rho R}}^{3}}{3{\mathrm{\epsilon }}_{0}{\mathrm{r}}^{2}}$