﻿ The electric field in a region is given by E = 4 i∧ + 3 j∧V/m. The net flux passing through a square area of side 4 m parallel to y-z plane is | Electric Charges and Fields

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# Electric Charges and Fields

#### Multiple Choice Questions

71.

If the electric fluxes entering and leaving an enclosed surface respectively are  Φ1 and Φ2, the electric charge inside the surface will be

• 2 − Φ1) ε0

• 1 + Φ2) / ε0

• 2 − Φ1) / ε0

• 1 + Φ2) / ε0

72.

Shown below is a distribution of charges. The flux of electric field due to these charges through the surface is

• $\frac{3\mathrm{q}}{{\mathrm{\epsilon }}_{0}}$

• zero

• $\frac{2\mathrm{q}}{{\mathrm{\epsilon }}_{0}}$

• $\frac{\mathrm{q}}{{\mathrm{\epsilon }}_{0}}$

73.

Two point charges + q and + 4q are located at x = O and x = L respectively. The location of a point on the x-axis at which the net electric field due to these two points charges is zero, is

• L / 3

• 2 L

• 4 L

• 8 L

74.

If electric flux entering and leaving an enclosed surface is ${\mathrm{\varphi }}_{1}$ and ${\mathrm{\varphi }}_{2}$ respectively, the electric charge inside the enclosed surface will be

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# 75.The electric field in a region is given by E = V/m. The net flux passing through a square area of side 4 m parallel to y-z plane is32 V-m 16 V-m 12 V-m 64 V-m

D.

64 V-m

A square area of side 4 m parallel to y-z plane in vector form can be written as

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76.

Two concentric conducting spherical shells A and B having radii rA and rB (rB > rA) are charged to QA and -QB  . The electric field along a line passing through the centre is

77.

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

• $\frac{\mathrm{F}}{2}$

• $\frac{\mathrm{F}}{4}$

78.

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

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

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

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

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79.

An electron enters uniform electric field maintained by parallel plates and of value E Vm-1 with a velocity v ms-1 , the plates are separated by a distance d metre, then acceleration of the electron in the field is

• $\frac{\mathrm{Ee}}{\mathrm{m}}$

• $\frac{-\mathrm{Ee}}{\mathrm{m}}$

• $\frac{\mathrm{Ed}}{\mathrm{m}}$

• $\mathrm{Ee}\frac{\mathrm{d}}{\mathrm{m}}$

80.

The electrostatic field due to a charged conductor just outside the conductor is

• zero and parallel to the surface at every point inside the conductor

• zero and is normal to the surface at every point inside the conductor

• parallel to the surface at every point and zero inside the conductor

• normal to the surface at every point and zero inside the conductor

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