Continuous Charge Distribution
PHXII01:ELECTRIC CHARGES AND FIELDS

358045 Electric field due to
Column I
Column II
A
Infinite plane sheet of charge
P
\(0\)
B
Infinite plane sheet of uniform thickness
Q
\(\frac{\sigma }{{2{\varepsilon _0}}}\)
C
Non -conducting charged solid sphere at its surface
R
\(\frac{{R\rho }}{{3{\varepsilon _0}}}\)
D
Conducting charged solid sphere at its centre
S
\(\frac{\sigma }{{{\varepsilon _0}}}\)

1 A-Q, B-S, C-R, D-P
2 A-R, B-Q, C-P, D-S
3 A-P, B-S, C-Q, D-R
4 A-Q, B-P, C-S, D-R
PHXII01:ELECTRIC CHARGES AND FIELDS

358046 A charged conductor produces an electric field of intensity \({10^3}V/m\) just outside its surface in vacuum. Then, it produces the electric field of intensity \(E\) just outside its surface, when it is placed in a medium of dielectric constant 4. The value of \(E\) will be

1 \(400\,V/m\)
2 \(450\,V/m\)
3 \(250\,V/m\)
4 \(150\,V/m\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358047 Assertion :
Electric field inside conductor is zero.
Reason :
If a conductor is given charge then no excess inner charge appears.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII01:ELECTRIC CHARGES AND FIELDS

358048 Two mutually perpendicular long straight conducting rods carrying uniformly distributed charges of linear charge densities \({\lambda_{1}}\) and \({\lambda_{2}}\) are positioned at a distance a from each other. If the force between the rods is found to be \({F_{\text {net }}=\dfrac{\lambda_{1} \lambda_{2}}{n \varepsilon_{0}}}\) find the value of \({n}\).
supporting img

1 2
2 5
3 7
4 1
PHXII01:ELECTRIC CHARGES AND FIELDS

358049 The insulation of air vanishes when the electric field is \(5 \times {10^5}\,V{\rm{/}}m\). The maximum charge that can be given to a sphere of radius \(3\,m\) is approximately

1 \(5\,\mu C\)
2 \(500\,\mu C\)
3 \(10\,\mu C\)
4 \(1\,\mu C\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358045 Electric field due to
Column I
Column II
A
Infinite plane sheet of charge
P
\(0\)
B
Infinite plane sheet of uniform thickness
Q
\(\frac{\sigma }{{2{\varepsilon _0}}}\)
C
Non -conducting charged solid sphere at its surface
R
\(\frac{{R\rho }}{{3{\varepsilon _0}}}\)
D
Conducting charged solid sphere at its centre
S
\(\frac{\sigma }{{{\varepsilon _0}}}\)

1 A-Q, B-S, C-R, D-P
2 A-R, B-Q, C-P, D-S
3 A-P, B-S, C-Q, D-R
4 A-Q, B-P, C-S, D-R
PHXII01:ELECTRIC CHARGES AND FIELDS

358046 A charged conductor produces an electric field of intensity \({10^3}V/m\) just outside its surface in vacuum. Then, it produces the electric field of intensity \(E\) just outside its surface, when it is placed in a medium of dielectric constant 4. The value of \(E\) will be

1 \(400\,V/m\)
2 \(450\,V/m\)
3 \(250\,V/m\)
4 \(150\,V/m\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358047 Assertion :
Electric field inside conductor is zero.
Reason :
If a conductor is given charge then no excess inner charge appears.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII01:ELECTRIC CHARGES AND FIELDS

358048 Two mutually perpendicular long straight conducting rods carrying uniformly distributed charges of linear charge densities \({\lambda_{1}}\) and \({\lambda_{2}}\) are positioned at a distance a from each other. If the force between the rods is found to be \({F_{\text {net }}=\dfrac{\lambda_{1} \lambda_{2}}{n \varepsilon_{0}}}\) find the value of \({n}\).
supporting img

1 2
2 5
3 7
4 1
PHXII01:ELECTRIC CHARGES AND FIELDS

358049 The insulation of air vanishes when the electric field is \(5 \times {10^5}\,V{\rm{/}}m\). The maximum charge that can be given to a sphere of radius \(3\,m\) is approximately

1 \(5\,\mu C\)
2 \(500\,\mu C\)
3 \(10\,\mu C\)
4 \(1\,\mu C\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358045 Electric field due to
Column I
Column II
A
Infinite plane sheet of charge
P
\(0\)
B
Infinite plane sheet of uniform thickness
Q
\(\frac{\sigma }{{2{\varepsilon _0}}}\)
C
Non -conducting charged solid sphere at its surface
R
\(\frac{{R\rho }}{{3{\varepsilon _0}}}\)
D
Conducting charged solid sphere at its centre
S
\(\frac{\sigma }{{{\varepsilon _0}}}\)

1 A-Q, B-S, C-R, D-P
2 A-R, B-Q, C-P, D-S
3 A-P, B-S, C-Q, D-R
4 A-Q, B-P, C-S, D-R
PHXII01:ELECTRIC CHARGES AND FIELDS

358046 A charged conductor produces an electric field of intensity \({10^3}V/m\) just outside its surface in vacuum. Then, it produces the electric field of intensity \(E\) just outside its surface, when it is placed in a medium of dielectric constant 4. The value of \(E\) will be

1 \(400\,V/m\)
2 \(450\,V/m\)
3 \(250\,V/m\)
4 \(150\,V/m\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358047 Assertion :
Electric field inside conductor is zero.
Reason :
If a conductor is given charge then no excess inner charge appears.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII01:ELECTRIC CHARGES AND FIELDS

358048 Two mutually perpendicular long straight conducting rods carrying uniformly distributed charges of linear charge densities \({\lambda_{1}}\) and \({\lambda_{2}}\) are positioned at a distance a from each other. If the force between the rods is found to be \({F_{\text {net }}=\dfrac{\lambda_{1} \lambda_{2}}{n \varepsilon_{0}}}\) find the value of \({n}\).
supporting img

1 2
2 5
3 7
4 1
PHXII01:ELECTRIC CHARGES AND FIELDS

358049 The insulation of air vanishes when the electric field is \(5 \times {10^5}\,V{\rm{/}}m\). The maximum charge that can be given to a sphere of radius \(3\,m\) is approximately

1 \(5\,\mu C\)
2 \(500\,\mu C\)
3 \(10\,\mu C\)
4 \(1\,\mu C\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358045 Electric field due to
Column I
Column II
A
Infinite plane sheet of charge
P
\(0\)
B
Infinite plane sheet of uniform thickness
Q
\(\frac{\sigma }{{2{\varepsilon _0}}}\)
C
Non -conducting charged solid sphere at its surface
R
\(\frac{{R\rho }}{{3{\varepsilon _0}}}\)
D
Conducting charged solid sphere at its centre
S
\(\frac{\sigma }{{{\varepsilon _0}}}\)

1 A-Q, B-S, C-R, D-P
2 A-R, B-Q, C-P, D-S
3 A-P, B-S, C-Q, D-R
4 A-Q, B-P, C-S, D-R
PHXII01:ELECTRIC CHARGES AND FIELDS

358046 A charged conductor produces an electric field of intensity \({10^3}V/m\) just outside its surface in vacuum. Then, it produces the electric field of intensity \(E\) just outside its surface, when it is placed in a medium of dielectric constant 4. The value of \(E\) will be

1 \(400\,V/m\)
2 \(450\,V/m\)
3 \(250\,V/m\)
4 \(150\,V/m\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358047 Assertion :
Electric field inside conductor is zero.
Reason :
If a conductor is given charge then no excess inner charge appears.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII01:ELECTRIC CHARGES AND FIELDS

358048 Two mutually perpendicular long straight conducting rods carrying uniformly distributed charges of linear charge densities \({\lambda_{1}}\) and \({\lambda_{2}}\) are positioned at a distance a from each other. If the force between the rods is found to be \({F_{\text {net }}=\dfrac{\lambda_{1} \lambda_{2}}{n \varepsilon_{0}}}\) find the value of \({n}\).
supporting img

1 2
2 5
3 7
4 1
PHXII01:ELECTRIC CHARGES AND FIELDS

358049 The insulation of air vanishes when the electric field is \(5 \times {10^5}\,V{\rm{/}}m\). The maximum charge that can be given to a sphere of radius \(3\,m\) is approximately

1 \(5\,\mu C\)
2 \(500\,\mu C\)
3 \(10\,\mu C\)
4 \(1\,\mu C\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358045 Electric field due to
Column I
Column II
A
Infinite plane sheet of charge
P
\(0\)
B
Infinite plane sheet of uniform thickness
Q
\(\frac{\sigma }{{2{\varepsilon _0}}}\)
C
Non -conducting charged solid sphere at its surface
R
\(\frac{{R\rho }}{{3{\varepsilon _0}}}\)
D
Conducting charged solid sphere at its centre
S
\(\frac{\sigma }{{{\varepsilon _0}}}\)

1 A-Q, B-S, C-R, D-P
2 A-R, B-Q, C-P, D-S
3 A-P, B-S, C-Q, D-R
4 A-Q, B-P, C-S, D-R
PHXII01:ELECTRIC CHARGES AND FIELDS

358046 A charged conductor produces an electric field of intensity \({10^3}V/m\) just outside its surface in vacuum. Then, it produces the electric field of intensity \(E\) just outside its surface, when it is placed in a medium of dielectric constant 4. The value of \(E\) will be

1 \(400\,V/m\)
2 \(450\,V/m\)
3 \(250\,V/m\)
4 \(150\,V/m\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358047 Assertion :
Electric field inside conductor is zero.
Reason :
If a conductor is given charge then no excess inner charge appears.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII01:ELECTRIC CHARGES AND FIELDS

358048 Two mutually perpendicular long straight conducting rods carrying uniformly distributed charges of linear charge densities \({\lambda_{1}}\) and \({\lambda_{2}}\) are positioned at a distance a from each other. If the force between the rods is found to be \({F_{\text {net }}=\dfrac{\lambda_{1} \lambda_{2}}{n \varepsilon_{0}}}\) find the value of \({n}\).
supporting img

1 2
2 5
3 7
4 1
PHXII01:ELECTRIC CHARGES AND FIELDS

358049 The insulation of air vanishes when the electric field is \(5 \times {10^5}\,V{\rm{/}}m\). The maximum charge that can be given to a sphere of radius \(3\,m\) is approximately

1 \(5\,\mu C\)
2 \(500\,\mu C\)
3 \(10\,\mu C\)
4 \(1\,\mu C\)