If $$\oint_s \vec{E} \cdot \overrightarrow{d S}=0$$ over a surface, then:

 1 the electric field inside the surface is necessarily uniform. 2 the number of flux lines entering the surface must be equal to the number of flux lines leaving it. 3 the magnitude of electric field on the surface is constant. 4 all the charges must necessarily be inside the surface.
Subtopic:  Gauss's Law |
78%
From NCERT
NEET - 2023
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According to Gauss law of electrostatics, electric flux through a closed surface depends on:
 1 the area of the surface 2 the quantity of charges enclosed by the surface 3 the shape of the surface 4 the volume enclosed by the surface
Subtopic:  Gauss's Law |
81%
From NCERT
NEET - 2023
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A charge $$Q~\mu\text{C}$$ is placed at the centre of a cube. The flux coming out from any one of its faces will be: (in SI unit)
 1 $$\frac{Q}{\varepsilon_0}\times10^{-6}$$ 2 $$\frac{2Q}{3\varepsilon_0}\times10^{-3}$$ 3 $$\frac{Q}{6\varepsilon_0}\times10^{-3}$$ 4 $$\frac{Q}{6\varepsilon_0}\times10^{-6}$$
Subtopic:  Gauss's Law |
74%
From NCERT
NEET - 2023
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Two parallel infinite line charges with linear charge densities $$+\lambda$$ C/m and $$+\lambda$$ C/m are placed at a distance $${R}.$$ The electric field mid-way between the two line charges is:
1. $$\frac{\lambda}{2 \pi \varepsilon_0 {R}}$$ N/C
2. zero
3. $$\frac{2\lambda}{ \pi \varepsilon_0 {R}}$$ N/C
4. $$\frac{\lambda}{ \pi \varepsilon_0 {R}}$$ N/C

Subtopic:  Gauss's Law |
64%
From NCERT
NEET - 2019
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A sphere encloses an electric dipole with charges $$\pm3\times10^{-6}$$ C. What is the total electric flux through the sphere?
1. $$-3\times10^{-6}$$ N-m2/C
2. zero
3. $$3\times10^{-6}$$ N-m2/C
4. $$6\times10^{-6}$$ N-m2/C

Subtopic:  Gauss's Law |
89%
From NCERT
NEET - 2019
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The electric field in a certain region is acting radially outward and is given by $$E=Ar.$$ A charge contained in a sphere of radius $$a$$ centered at the origin of the field will be given by:
1. $$4 \pi \varepsilon_{{o}} {A}{a}^2$$
2. $$\varepsilon_{{o}} {A} {a}^2$$
3. $$4 \pi \varepsilon_{{o}} {A} {a}^3$$
4. $$\varepsilon_{{o}} {A}{a}^3$$

Subtopic:  Gauss's Law |
67%
From NCERT
NEET - 2015
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What is the flux through a cube of side $$a,$$ if a point charge of $$q$$ is placed at one of its corners?
1. $$\frac{2q}{\varepsilon_0}$$
2. $$\frac{q}{8\varepsilon_0}$$
3. $$\frac{q}{\varepsilon_0}$$
4. $$\frac{q}{2\varepsilon_0}$$

Subtopic:  Gauss's Law |
87%
From NCERT
AIPMT - 2012
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A charge Q is enclosed by a Gaussian spherical surface of radius R. If the radius is doubled, then the outward electric flux will:
1. be reduced to half
2. remain the same
3. be doubled
4. increase four times
Subtopic:  Gauss's Law |
88%
From NCERT
AIPMT - 2011
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The electric field at a distance $$\frac{3R}{2}$$ from the centre of a charged conducting spherical shell of radius $$R$$ is $$E$$. The electric field at a distance $$\frac{R}{2}$$ from the centre of the sphere is:
1. $$E$$
2. $$\frac{E}{2}$$
3. $$\frac{E}{3}$$
4. zero

Subtopic:  Gauss's Law |
84%
From NCERT
AIPMT - 2010
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A hollow cylinder has a charge q coulomb within it (at the geometrical centre). If ϕ is the electric flux in units of Volt-meter associated with the curved surface B, the flux linked with the plane surface A in units of volt-meter will be:

1. $\frac{1}{2}\left(\frac{q}{{\epsilon }_{0}}-\Phi \right)$

2. $\frac{q}{2{\epsilon }_{0}}$

3. $\frac{\Phi }{3}$

4. $\frac{q}{{\epsilon }_{0}}-\Phi$

Subtopic:  Gauss's Law |
74%
From NCERT
AIPMT - 2007
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