Continuous Charge Distribution
PHXII01:ELECTRIC CHARGES AND FIELDS

358011 If one penetrates inside a uniformly charged spherical cloud, electric field strength

1 Decreases when we move from surface to centre.
2 Increases when we move from surface to centre.
3 Remains constant
4 None of these
PHXII01:ELECTRIC CHARGES AND FIELDS

358012 A hollow metal sphere of radius \(R\) is uniformly charged.The electric field due to the sphere at a distance \(r\) from the centre

1 Increases as \(r\) increases for \(r < R\) and for \(r > R\)
2 Zero as \(r\) increases for \(r < R\), decreases as \(r\) increases for \(r > R\)
3 Zero as \(r\) increases for \(r < R\) increases as \(r\) increases for \(r > R\)
4 Decreases as \(r\) increases for \(r < R\) and for \(r > R\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358013 As shown in the figure, a point charge \(Q\) is placed at the centre of conducting spherical shell of inner radius \(a\) and outer radius \(b\). The electric field due to charge \(Q\) in three different regions \(I,\) \(II\) and \(III\) is given by
\({\rm{ }}(I:{\rm{ }}r{\rm{ }} < {\rm{ }}a,{\rm{ }}II:{\rm{ }}a{\rm{ }} < {\rm{ }}r{\rm{ }} < {\rm{ }}b,{\rm{ }}III{\rm{ }}:{\rm{ }}r > b\,)\)
supporting img

1 \(E_{I}=0, E_{I I}=0, E_{I I I}=0\)
2 \(E_{I} \neq 0, E_{I I}=0, E_{I I I}=0\)
3 \(E_{I}=0, E_{I I}=0, E_{I I I} \neq 0\)
4 \(E_{I} \neq 0, E_{I I}=0, E_{I I I} \neq 0\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358014 Surface density of charge on a charged conducting sphere of radius \(R\) in terms of electric field intensity \(E\) at a distance \(r\) in free space is (\(r > R,{\varepsilon _0} = \)permittivity of free space)

1 \({\varepsilon _0}E{\left( {\frac{R}{r}} \right)^2}\)
2 \({\varepsilon _0}E\frac{R}{r}\)
3 \({\varepsilon _0}E{\left( {\frac{r}{R}} \right)^2}\)
4 \({\varepsilon _0}E\frac{r}{R}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358011 If one penetrates inside a uniformly charged spherical cloud, electric field strength

1 Decreases when we move from surface to centre.
2 Increases when we move from surface to centre.
3 Remains constant
4 None of these
PHXII01:ELECTRIC CHARGES AND FIELDS

358012 A hollow metal sphere of radius \(R\) is uniformly charged.The electric field due to the sphere at a distance \(r\) from the centre

1 Increases as \(r\) increases for \(r < R\) and for \(r > R\)
2 Zero as \(r\) increases for \(r < R\), decreases as \(r\) increases for \(r > R\)
3 Zero as \(r\) increases for \(r < R\) increases as \(r\) increases for \(r > R\)
4 Decreases as \(r\) increases for \(r < R\) and for \(r > R\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358013 As shown in the figure, a point charge \(Q\) is placed at the centre of conducting spherical shell of inner radius \(a\) and outer radius \(b\). The electric field due to charge \(Q\) in three different regions \(I,\) \(II\) and \(III\) is given by
\({\rm{ }}(I:{\rm{ }}r{\rm{ }} < {\rm{ }}a,{\rm{ }}II:{\rm{ }}a{\rm{ }} < {\rm{ }}r{\rm{ }} < {\rm{ }}b,{\rm{ }}III{\rm{ }}:{\rm{ }}r > b\,)\)
supporting img

1 \(E_{I}=0, E_{I I}=0, E_{I I I}=0\)
2 \(E_{I} \neq 0, E_{I I}=0, E_{I I I}=0\)
3 \(E_{I}=0, E_{I I}=0, E_{I I I} \neq 0\)
4 \(E_{I} \neq 0, E_{I I}=0, E_{I I I} \neq 0\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358014 Surface density of charge on a charged conducting sphere of radius \(R\) in terms of electric field intensity \(E\) at a distance \(r\) in free space is (\(r > R,{\varepsilon _0} = \)permittivity of free space)

1 \({\varepsilon _0}E{\left( {\frac{R}{r}} \right)^2}\)
2 \({\varepsilon _0}E\frac{R}{r}\)
3 \({\varepsilon _0}E{\left( {\frac{r}{R}} \right)^2}\)
4 \({\varepsilon _0}E\frac{r}{R}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358011 If one penetrates inside a uniformly charged spherical cloud, electric field strength

1 Decreases when we move from surface to centre.
2 Increases when we move from surface to centre.
3 Remains constant
4 None of these
PHXII01:ELECTRIC CHARGES AND FIELDS

358012 A hollow metal sphere of radius \(R\) is uniformly charged.The electric field due to the sphere at a distance \(r\) from the centre

1 Increases as \(r\) increases for \(r < R\) and for \(r > R\)
2 Zero as \(r\) increases for \(r < R\), decreases as \(r\) increases for \(r > R\)
3 Zero as \(r\) increases for \(r < R\) increases as \(r\) increases for \(r > R\)
4 Decreases as \(r\) increases for \(r < R\) and for \(r > R\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358013 As shown in the figure, a point charge \(Q\) is placed at the centre of conducting spherical shell of inner radius \(a\) and outer radius \(b\). The electric field due to charge \(Q\) in three different regions \(I,\) \(II\) and \(III\) is given by
\({\rm{ }}(I:{\rm{ }}r{\rm{ }} < {\rm{ }}a,{\rm{ }}II:{\rm{ }}a{\rm{ }} < {\rm{ }}r{\rm{ }} < {\rm{ }}b,{\rm{ }}III{\rm{ }}:{\rm{ }}r > b\,)\)
supporting img

1 \(E_{I}=0, E_{I I}=0, E_{I I I}=0\)
2 \(E_{I} \neq 0, E_{I I}=0, E_{I I I}=0\)
3 \(E_{I}=0, E_{I I}=0, E_{I I I} \neq 0\)
4 \(E_{I} \neq 0, E_{I I}=0, E_{I I I} \neq 0\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358014 Surface density of charge on a charged conducting sphere of radius \(R\) in terms of electric field intensity \(E\) at a distance \(r\) in free space is (\(r > R,{\varepsilon _0} = \)permittivity of free space)

1 \({\varepsilon _0}E{\left( {\frac{R}{r}} \right)^2}\)
2 \({\varepsilon _0}E\frac{R}{r}\)
3 \({\varepsilon _0}E{\left( {\frac{r}{R}} \right)^2}\)
4 \({\varepsilon _0}E\frac{r}{R}\)
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PHXII01:ELECTRIC CHARGES AND FIELDS

358011 If one penetrates inside a uniformly charged spherical cloud, electric field strength

1 Decreases when we move from surface to centre.
2 Increases when we move from surface to centre.
3 Remains constant
4 None of these
PHXII01:ELECTRIC CHARGES AND FIELDS

358012 A hollow metal sphere of radius \(R\) is uniformly charged.The electric field due to the sphere at a distance \(r\) from the centre

1 Increases as \(r\) increases for \(r < R\) and for \(r > R\)
2 Zero as \(r\) increases for \(r < R\), decreases as \(r\) increases for \(r > R\)
3 Zero as \(r\) increases for \(r < R\) increases as \(r\) increases for \(r > R\)
4 Decreases as \(r\) increases for \(r < R\) and for \(r > R\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358013 As shown in the figure, a point charge \(Q\) is placed at the centre of conducting spherical shell of inner radius \(a\) and outer radius \(b\). The electric field due to charge \(Q\) in three different regions \(I,\) \(II\) and \(III\) is given by
\({\rm{ }}(I:{\rm{ }}r{\rm{ }} < {\rm{ }}a,{\rm{ }}II:{\rm{ }}a{\rm{ }} < {\rm{ }}r{\rm{ }} < {\rm{ }}b,{\rm{ }}III{\rm{ }}:{\rm{ }}r > b\,)\)
supporting img

1 \(E_{I}=0, E_{I I}=0, E_{I I I}=0\)
2 \(E_{I} \neq 0, E_{I I}=0, E_{I I I}=0\)
3 \(E_{I}=0, E_{I I}=0, E_{I I I} \neq 0\)
4 \(E_{I} \neq 0, E_{I I}=0, E_{I I I} \neq 0\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358014 Surface density of charge on a charged conducting sphere of radius \(R\) in terms of electric field intensity \(E\) at a distance \(r\) in free space is (\(r > R,{\varepsilon _0} = \)permittivity of free space)

1 \({\varepsilon _0}E{\left( {\frac{R}{r}} \right)^2}\)
2 \({\varepsilon _0}E\frac{R}{r}\)
3 \({\varepsilon _0}E{\left( {\frac{r}{R}} \right)^2}\)
4 \({\varepsilon _0}E\frac{r}{R}\)