Potential Energy
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359457 \({A B C}\) is a right-angled triangle, where \({A B}\) and \({B C}\) are 25 \(cm\) and 60 \(cm\) respectively. A metal sphere of 2 \(cm\) radius charged to a potential of \({9 \times 10^{5}}\) volt is placed at \({B}\). Find the amount of work done in carrying a positive charge of 1 Coulomb from \({C}\) to \({A}\).
supporting img

1 \(38\,kJ\)
2 \(42\,kJ\)
3 \(75\,kJ\)
4 \(52\,kJ\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359458 A particle of mass \(400\,mg\) and charged with \({5 \times 10^{-9} {C}}\) is moving directly towards a fixed positive point charge of magnitude \({10^{-8} {C}}\). When it is at a distance of \(10\,cm\) from the fixed positive point charge it has a velocity of \({50 {~cm} / {s}}\). At what distance from the fixed point charge will the particle come momentarily to rest?

1 \(4.73\,cm\)
2 \(6.23\,cm\)
3 \(9.67\,cm\)
4 \(2.97\,cm\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359459 The ionisation potential of mercury is 10.39 \(V\). How far an electron must travel in an electric field of \(1.5 \times {10^6}V/m\) to gain sufficient energy to ionise mercury?

1 \(\frac{{10.39}}{{2 \times 1.6 \times {{10}^{ - 19}}}}m\)
2 \(\frac{{10.39}}{{1.6 \times {{10}^{ - 19}}}}m\)
3 \(\frac{{10.39}}{{1.5 \times {{10}^6}}}m\)
4 \(10.39 \times 1.6 \times {10^{ - 19}}m\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359460 Two charges each of charge ‘\(Q\)’ are released, with the initial separation ‘\(d\)’. The velocity of each charge of mass ‘\(m\)’ each when the distance between them is ‘2\(d\)’ is

1 \(\frac{Q}{{\sqrt {8\pi {\varepsilon _0}md} }}\)
2 \(\frac{Q}{{\sqrt {4\pi {\varepsilon _0}md} }}\)
3 \(\frac{Q}{{4\sqrt {\pi {\varepsilon _0}md} }}\)
4 \(\frac{Q}{{\sqrt {2\pi {\varepsilon _0}md} }}\)
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359457 \({A B C}\) is a right-angled triangle, where \({A B}\) and \({B C}\) are 25 \(cm\) and 60 \(cm\) respectively. A metal sphere of 2 \(cm\) radius charged to a potential of \({9 \times 10^{5}}\) volt is placed at \({B}\). Find the amount of work done in carrying a positive charge of 1 Coulomb from \({C}\) to \({A}\).
supporting img

1 \(38\,kJ\)
2 \(42\,kJ\)
3 \(75\,kJ\)
4 \(52\,kJ\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359458 A particle of mass \(400\,mg\) and charged with \({5 \times 10^{-9} {C}}\) is moving directly towards a fixed positive point charge of magnitude \({10^{-8} {C}}\). When it is at a distance of \(10\,cm\) from the fixed positive point charge it has a velocity of \({50 {~cm} / {s}}\). At what distance from the fixed point charge will the particle come momentarily to rest?

1 \(4.73\,cm\)
2 \(6.23\,cm\)
3 \(9.67\,cm\)
4 \(2.97\,cm\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359459 The ionisation potential of mercury is 10.39 \(V\). How far an electron must travel in an electric field of \(1.5 \times {10^6}V/m\) to gain sufficient energy to ionise mercury?

1 \(\frac{{10.39}}{{2 \times 1.6 \times {{10}^{ - 19}}}}m\)
2 \(\frac{{10.39}}{{1.6 \times {{10}^{ - 19}}}}m\)
3 \(\frac{{10.39}}{{1.5 \times {{10}^6}}}m\)
4 \(10.39 \times 1.6 \times {10^{ - 19}}m\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359460 Two charges each of charge ‘\(Q\)’ are released, with the initial separation ‘\(d\)’. The velocity of each charge of mass ‘\(m\)’ each when the distance between them is ‘2\(d\)’ is

1 \(\frac{Q}{{\sqrt {8\pi {\varepsilon _0}md} }}\)
2 \(\frac{Q}{{\sqrt {4\pi {\varepsilon _0}md} }}\)
3 \(\frac{Q}{{4\sqrt {\pi {\varepsilon _0}md} }}\)
4 \(\frac{Q}{{\sqrt {2\pi {\varepsilon _0}md} }}\)
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359457 \({A B C}\) is a right-angled triangle, where \({A B}\) and \({B C}\) are 25 \(cm\) and 60 \(cm\) respectively. A metal sphere of 2 \(cm\) radius charged to a potential of \({9 \times 10^{5}}\) volt is placed at \({B}\). Find the amount of work done in carrying a positive charge of 1 Coulomb from \({C}\) to \({A}\).
supporting img

1 \(38\,kJ\)
2 \(42\,kJ\)
3 \(75\,kJ\)
4 \(52\,kJ\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359458 A particle of mass \(400\,mg\) and charged with \({5 \times 10^{-9} {C}}\) is moving directly towards a fixed positive point charge of magnitude \({10^{-8} {C}}\). When it is at a distance of \(10\,cm\) from the fixed positive point charge it has a velocity of \({50 {~cm} / {s}}\). At what distance from the fixed point charge will the particle come momentarily to rest?

1 \(4.73\,cm\)
2 \(6.23\,cm\)
3 \(9.67\,cm\)
4 \(2.97\,cm\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359459 The ionisation potential of mercury is 10.39 \(V\). How far an electron must travel in an electric field of \(1.5 \times {10^6}V/m\) to gain sufficient energy to ionise mercury?

1 \(\frac{{10.39}}{{2 \times 1.6 \times {{10}^{ - 19}}}}m\)
2 \(\frac{{10.39}}{{1.6 \times {{10}^{ - 19}}}}m\)
3 \(\frac{{10.39}}{{1.5 \times {{10}^6}}}m\)
4 \(10.39 \times 1.6 \times {10^{ - 19}}m\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359460 Two charges each of charge ‘\(Q\)’ are released, with the initial separation ‘\(d\)’. The velocity of each charge of mass ‘\(m\)’ each when the distance between them is ‘2\(d\)’ is

1 \(\frac{Q}{{\sqrt {8\pi {\varepsilon _0}md} }}\)
2 \(\frac{Q}{{\sqrt {4\pi {\varepsilon _0}md} }}\)
3 \(\frac{Q}{{4\sqrt {\pi {\varepsilon _0}md} }}\)
4 \(\frac{Q}{{\sqrt {2\pi {\varepsilon _0}md} }}\)
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359457 \({A B C}\) is a right-angled triangle, where \({A B}\) and \({B C}\) are 25 \(cm\) and 60 \(cm\) respectively. A metal sphere of 2 \(cm\) radius charged to a potential of \({9 \times 10^{5}}\) volt is placed at \({B}\). Find the amount of work done in carrying a positive charge of 1 Coulomb from \({C}\) to \({A}\).
supporting img

1 \(38\,kJ\)
2 \(42\,kJ\)
3 \(75\,kJ\)
4 \(52\,kJ\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359458 A particle of mass \(400\,mg\) and charged with \({5 \times 10^{-9} {C}}\) is moving directly towards a fixed positive point charge of magnitude \({10^{-8} {C}}\). When it is at a distance of \(10\,cm\) from the fixed positive point charge it has a velocity of \({50 {~cm} / {s}}\). At what distance from the fixed point charge will the particle come momentarily to rest?

1 \(4.73\,cm\)
2 \(6.23\,cm\)
3 \(9.67\,cm\)
4 \(2.97\,cm\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359459 The ionisation potential of mercury is 10.39 \(V\). How far an electron must travel in an electric field of \(1.5 \times {10^6}V/m\) to gain sufficient energy to ionise mercury?

1 \(\frac{{10.39}}{{2 \times 1.6 \times {{10}^{ - 19}}}}m\)
2 \(\frac{{10.39}}{{1.6 \times {{10}^{ - 19}}}}m\)
3 \(\frac{{10.39}}{{1.5 \times {{10}^6}}}m\)
4 \(10.39 \times 1.6 \times {10^{ - 19}}m\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359460 Two charges each of charge ‘\(Q\)’ are released, with the initial separation ‘\(d\)’. The velocity of each charge of mass ‘\(m\)’ each when the distance between them is ‘2\(d\)’ is

1 \(\frac{Q}{{\sqrt {8\pi {\varepsilon _0}md} }}\)
2 \(\frac{Q}{{\sqrt {4\pi {\varepsilon _0}md} }}\)
3 \(\frac{Q}{{4\sqrt {\pi {\varepsilon _0}md} }}\)
4 \(\frac{Q}{{\sqrt {2\pi {\varepsilon _0}md} }}\)
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