Consider the charge configuration and spherical Gaussian surface as shown in the figure. While calculating the flux of the electric field over the spherical surface, the electric field will be due to:
(1) q2 only
(2) Only the positive charges
(3) All the charges
(4) +q1 and – q1 only
An electric dipole is put in north-south direction in a sphere filled with water. Which statement is correct ?
(1) Electric flux is coming towards sphere
(2) Electric flux is coming out of sphere
(3) Electric flux entering into sphere and leaving the sphere are same
(4) Water does not permit electric flux to enter into sphere
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)