Two small spheres each having the charge \(+Q\) are suspended by insulating threads of length \(L\) from a hook. If this arrangement is taken in space where there is no gravitational effect, then the angle between the two suspensions and the tension in each will be:
1.
2.
3.
4.
Two charges \(+2\) C and \(+6\) C are repelling each other with a force of \(12\) N. If each charge is given \(-2\) C of charge, then the value of the force will be:
1. | \(4\) N (attractive) | 2. | \(4\) N (repulsive) |
3. | \(8\) N (repulsive) | 4. | zero |
1. | \(7.20\) N | 2. | \(11.25~\text{N}\) |
3. | \(22.50\) N | 4. | \(45.00\) N |
Two spherical conductors \(B\) and \(C\) having equal radii and carrying equal charges in them repel each other with a force \(F\) when kept apart at some distance. A third spherical conductor having same radius as that of \(B\) but uncharged is brought in contact with \(B\), then brought in contact with \(C\) and finally removed away from both. The new force of repulsion between \(B\) and \(C\) is:
1. \(\frac{F}{4}\)
2. \(3\frac{F}{4}\)
3. \(\frac{F}{8}\)
4. \(3\frac{F}{8}\)
1. | \(9000\) N | 2. | \(12000\) N |
3. | \(24000\) N | 4. | \(36000\) N |
Three identical positive point charges, as shown are placed at the vertices of an isosceles right-angled triangle. Which of the numbered vectors coincides in direction with the electric field at the mid-point \(M\) of the hypotenuse?
1. \(1\)
2. \(2\)
3. \(3\)
4. \(4\)
An electron enters an electric field with its velocity in the direction of the electric lines of force. Then:
1. | the path of the electron will be a circle. | 2. | the path of the electron will be a parabola. |
3. | the velocity of the electron will decrease. | 4. | the velocity of the electron will increase. |
A charged ball \(B\) hangs from a silk thread \(S,\) which makes an angle \(\theta\) with a large charged conducting sheet \(P,\) as shown in the figure. The surface charge density \(\sigma\) of the sheet is proportional to:
1. \(\sin\theta\)
2. \(\tan\theta\)
3. \(\cos\theta\)
4. \(\cot\theta\)
1. | execute simple harmonic motion about the origin. |
2. | move to the origin and remain at rest. |
3. | move to infinity. |
4. | execute oscillatory but not simple harmonic motion. |