The electric flux for Gaussian surface A that encloses the charged particles in free space is (given q1 = –14 nC, q2 = 78.85 nC, q3 = – 56 nC)
(1) 103 Nm2 C–1
(2) 103 CN-1 m–2
(3) 6.32 × 103 Nm2 C–1
(4) 6.32 × 103 CN-1 m–2
The electric intensity due to an infinite cylinder of radius R and having charge q per unit length at a distance r(r > R) from its axis is
(1) Directly proportional to r2
(2) Directly proportional to r3
(3) Inversely proportional to r
(4) Inversely proportional to r2
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. |
An electrostatic line of force in the xy plane is given by equation x2 + y2 = 1. A particle with unit positive charge, initially at rest at the point x = 1, y = 0 in the xy plane will -
1. Not move at all
2. Will move along straight line
3. Will move along the circular line of force
4. The data given in the question is contradictory
A positively charged ball hangs from a silk thread. We put a positive test charge q0 at a point and measure F/q0, then it can be predicted that the electric field strength E
(1) > F/q0
(2) = F/q0
(3) < F/q0
(4) Cannot be estimated
A solid metallic sphere has a charge +3Q. Concentric with this sphere is a conducting spherical shell having charge –Q. The radius of the sphere is a and that of the spherical shell is b (b > a). What is the electric field at a distance R(a < R < b) from the centre
(1)
(2)
(3)
(4)
A point charge \(q\) is placed at a distance \(\frac{a}{2}\) directly above the centre of a square of side \(a\). The electric flux through the square (i.e. one face) is:
1. \(\frac{q}{\varepsilon_0}\)
2. \(\frac{q}{\pi\varepsilon_0}\)
3. \(\frac{q}{4\varepsilon_0}\)
4. \(\frac{q}{6\varepsilon_0}\)
Two infinitely long parallel wires having linear charge densities λ1 and λ2 respectively are placed at a distance of R meters. The force per unit length on either wire will be
(1)
(2)
(3)
(4)
The charge on 500 cc of water due to protons will be:
1. 6.0 × 1027 C
2. 2.67 × 107 C
3. 6 × 1023 C
4. 1.67 × 1023 C
In the given figure two tiny conducting balls of identical mass m and identical charge q hang from non-conducting threads of equal length L. Assume that θ is so small that , then for equilibrium x is equal to
(1)
(2)
(3)
(4)