Electrostatic Potential
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359413 A thin spherical shell is charged by some source. The potential difference between the two points \({C}\) and \({P}\) (in \({V}\) ) shown in the figure is:
\({\left(\right.}\) Take \({\dfrac{1}{4 \pi \varepsilon_{0}}=9 \times 10^{9} S I}\) units \({)}\)
supporting img

1 \({3 \times 10^{5}}\)
2 \({1 \times 10^{5}}\)
3 \({0.5 \times 10^{5}}\)
4 Zero
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359414 Statement A :
Two adjacent conductors of unequal dimensions, carrying the same positive charge have non-zero potential difference between them.
Statement B :
The potential of a conductor depends upon only the charge given to it.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359415 Assertion :
For practical purposes, the earth is used as a reference at zero potential in electrical circuits.
Reason :
The electrical potential of a sphere of radius \(R\) with charge \(Q\) uniformly distributed on the surface is given by \(\dfrac{Q}{4 \pi \varepsilon_{0} R}\). As \(R\) is very large and \(Q\) is very small (total charge of earth) so the net potential of earth is approximately zero.

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.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359416 The potential of a large liquid drop when eight liquid drops are combined is \(20\;V\). Then the potential of each single drop was

1 \(10\;V\)
2 \(7.5\;V\)
3 \(5\;V\)
4 \(2.5\;V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359417 A hollow conducting sphere is placed in an electric field produced by a point charge placed at \(P\) as shown in figure. Let \({V_A},{V_B},{V_C}\) be the potential at points \(A\),\(B\) and \(C\) respectively. Then
supporting img

1 \({V_B} > {V_C}\)
2 \({V_A} > {V_B}\)
3 \({V_C} > {V_B}\)
4 \({V_A} = {V_C}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359413 A thin spherical shell is charged by some source. The potential difference between the two points \({C}\) and \({P}\) (in \({V}\) ) shown in the figure is:
\({\left(\right.}\) Take \({\dfrac{1}{4 \pi \varepsilon_{0}}=9 \times 10^{9} S I}\) units \({)}\)
supporting img

1 \({3 \times 10^{5}}\)
2 \({1 \times 10^{5}}\)
3 \({0.5 \times 10^{5}}\)
4 Zero
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359414 Statement A :
Two adjacent conductors of unequal dimensions, carrying the same positive charge have non-zero potential difference between them.
Statement B :
The potential of a conductor depends upon only the charge given to it.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359415 Assertion :
For practical purposes, the earth is used as a reference at zero potential in electrical circuits.
Reason :
The electrical potential of a sphere of radius \(R\) with charge \(Q\) uniformly distributed on the surface is given by \(\dfrac{Q}{4 \pi \varepsilon_{0} R}\). As \(R\) is very large and \(Q\) is very small (total charge of earth) so the net potential of earth is approximately zero.

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.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359416 The potential of a large liquid drop when eight liquid drops are combined is \(20\;V\). Then the potential of each single drop was

1 \(10\;V\)
2 \(7.5\;V\)
3 \(5\;V\)
4 \(2.5\;V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359417 A hollow conducting sphere is placed in an electric field produced by a point charge placed at \(P\) as shown in figure. Let \({V_A},{V_B},{V_C}\) be the potential at points \(A\),\(B\) and \(C\) respectively. Then
supporting img

1 \({V_B} > {V_C}\)
2 \({V_A} > {V_B}\)
3 \({V_C} > {V_B}\)
4 \({V_A} = {V_C}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359413 A thin spherical shell is charged by some source. The potential difference between the two points \({C}\) and \({P}\) (in \({V}\) ) shown in the figure is:
\({\left(\right.}\) Take \({\dfrac{1}{4 \pi \varepsilon_{0}}=9 \times 10^{9} S I}\) units \({)}\)
supporting img

1 \({3 \times 10^{5}}\)
2 \({1 \times 10^{5}}\)
3 \({0.5 \times 10^{5}}\)
4 Zero
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359414 Statement A :
Two adjacent conductors of unequal dimensions, carrying the same positive charge have non-zero potential difference between them.
Statement B :
The potential of a conductor depends upon only the charge given to it.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359415 Assertion :
For practical purposes, the earth is used as a reference at zero potential in electrical circuits.
Reason :
The electrical potential of a sphere of radius \(R\) with charge \(Q\) uniformly distributed on the surface is given by \(\dfrac{Q}{4 \pi \varepsilon_{0} R}\). As \(R\) is very large and \(Q\) is very small (total charge of earth) so the net potential of earth is approximately zero.

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.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359416 The potential of a large liquid drop when eight liquid drops are combined is \(20\;V\). Then the potential of each single drop was

1 \(10\;V\)
2 \(7.5\;V\)
3 \(5\;V\)
4 \(2.5\;V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359417 A hollow conducting sphere is placed in an electric field produced by a point charge placed at \(P\) as shown in figure. Let \({V_A},{V_B},{V_C}\) be the potential at points \(A\),\(B\) and \(C\) respectively. Then
supporting img

1 \({V_B} > {V_C}\)
2 \({V_A} > {V_B}\)
3 \({V_C} > {V_B}\)
4 \({V_A} = {V_C}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359413 A thin spherical shell is charged by some source. The potential difference between the two points \({C}\) and \({P}\) (in \({V}\) ) shown in the figure is:
\({\left(\right.}\) Take \({\dfrac{1}{4 \pi \varepsilon_{0}}=9 \times 10^{9} S I}\) units \({)}\)
supporting img

1 \({3 \times 10^{5}}\)
2 \({1 \times 10^{5}}\)
3 \({0.5 \times 10^{5}}\)
4 Zero
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359414 Statement A :
Two adjacent conductors of unequal dimensions, carrying the same positive charge have non-zero potential difference between them.
Statement B :
The potential of a conductor depends upon only the charge given to it.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359415 Assertion :
For practical purposes, the earth is used as a reference at zero potential in electrical circuits.
Reason :
The electrical potential of a sphere of radius \(R\) with charge \(Q\) uniformly distributed on the surface is given by \(\dfrac{Q}{4 \pi \varepsilon_{0} R}\). As \(R\) is very large and \(Q\) is very small (total charge of earth) so the net potential of earth is approximately zero.

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.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359416 The potential of a large liquid drop when eight liquid drops are combined is \(20\;V\). Then the potential of each single drop was

1 \(10\;V\)
2 \(7.5\;V\)
3 \(5\;V\)
4 \(2.5\;V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359417 A hollow conducting sphere is placed in an electric field produced by a point charge placed at \(P\) as shown in figure. Let \({V_A},{V_B},{V_C}\) be the potential at points \(A\),\(B\) and \(C\) respectively. Then
supporting img

1 \({V_B} > {V_C}\)
2 \({V_A} > {V_B}\)
3 \({V_C} > {V_B}\)
4 \({V_A} = {V_C}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359413 A thin spherical shell is charged by some source. The potential difference between the two points \({C}\) and \({P}\) (in \({V}\) ) shown in the figure is:
\({\left(\right.}\) Take \({\dfrac{1}{4 \pi \varepsilon_{0}}=9 \times 10^{9} S I}\) units \({)}\)
supporting img

1 \({3 \times 10^{5}}\)
2 \({1 \times 10^{5}}\)
3 \({0.5 \times 10^{5}}\)
4 Zero
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359414 Statement A :
Two adjacent conductors of unequal dimensions, carrying the same positive charge have non-zero potential difference between them.
Statement B :
The potential of a conductor depends upon only the charge given to it.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct.
4 Both Statements are incorrect.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359415 Assertion :
For practical purposes, the earth is used as a reference at zero potential in electrical circuits.
Reason :
The electrical potential of a sphere of radius \(R\) with charge \(Q\) uniformly distributed on the surface is given by \(\dfrac{Q}{4 \pi \varepsilon_{0} R}\). As \(R\) is very large and \(Q\) is very small (total charge of earth) so the net potential of earth is approximately zero.

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.
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359416 The potential of a large liquid drop when eight liquid drops are combined is \(20\;V\). Then the potential of each single drop was

1 \(10\;V\)
2 \(7.5\;V\)
3 \(5\;V\)
4 \(2.5\;V\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359417 A hollow conducting sphere is placed in an electric field produced by a point charge placed at \(P\) as shown in figure. Let \({V_A},{V_B},{V_C}\) be the potential at points \(A\),\(B\) and \(C\) respectively. Then
supporting img

1 \({V_B} > {V_C}\)
2 \({V_A} > {V_B}\)
3 \({V_C} > {V_B}\)
4 \({V_A} = {V_C}\)