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Gauss Law Quiz for Students
Two insulated spheres with radii 20 cm and 30 cm, each carrying the same charge q, are connected by a copper wire and then separated. What happens to their charges?
a) Both spheres retain the same charge q
b) Both spheres have charge 2q
c) The smaller sphere (20 cm) will carry more charge
d) The larger sphere (30 cm) will carry more charge
Option d - The larger sphere (30 cm) will carry more charge
Gauss's theorem is valid for a point charge located:
a) Inside a closed surface
b) Outside a closed surface
c) On the surface
d) Anywhere
Option a - Inside a closed surface
Which law relates the electric flux through a closed surface to the charge enclosed by it?
a) Gauss's law
b) Coulomb's law
c) Newton's law
d) All of these
Option a - Gauss's law
A point charge is enclosed within a spherical surface of radius 10 cm producing a flux of 25 Vm. What will be the flux through a concentric sphere of radius 20 cm?
a) 50 Vm
b) 25 Vm
c) 20 Vm
d) 100 Vm
Option b - 25 Vm
A cubical Gaussian surface encloses a charge of 30 C at its center. What is the flux through one face of the cube?
a) 30 C
b) 60 C
c) 180 C
d) 5 C
Option d - 5 C
Gauss's law is particularly useful for:
a) Calculating electric force
b) Cases where Coulomb’s law is not applicable
c) Finding electric potential for symmetric charge distributions
d) Determining Electric Field due to symmetric charge distributions
Option d - Determining Electric Field due to symmetric charge distributions
The Solid angle subtended at a point inside a sphere by its entire surface is:
a) π
b) π/2
c) 2π
d) 4π
Option d - 4π
The Electric Field intensity near a charged conductor is:
a) Directly proportional to the surface charge density
b) Directly proportional to the square of surface charge density
c) Inversely proportional to surface charge density
d) Inversely proportional to the square of surface charge density
Option a - Directly proportional to the surface charge density
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