Potential Energy
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359452 Find out energy stored in an imaginary cubical volume of side \({a}\) in front of a infinitely large non-conducting sheet of uniform charge density \({\sigma}\).

1 \({\dfrac{\sigma^{2} a^{3}}{10 \varepsilon_{0}}}\)
2 \({\dfrac{\sigma^{2} a^{3}}{6 \varepsilon_{0}}}\)
3 \({\dfrac{\sigma^{2} a^{3}}{8 \varepsilon_{0}}}\)
4 \({\dfrac{\sigma^{2} a^{3}}{12 \varepsilon_{0}}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359453 Assertion :
An isolated system consists of two particles of equal masses \(m = 10\,gm\) and charges \({q_1} = + 1\,\mu C\) and \({q_2} = - 1\,\mu C\) as shown in figure. The initial separation of both charges is \(l = 1\;m\). Both the charges are given initial velocities \({v_1} = 1\;m{\rm{/}}s\) and \({v_2} = 2\;m{\rm{/}}s\) towards right. Then the maximum separation between the charges is infinity.
supporting img
Reason :
The total energy (Kinetic energy + electrostatic potential energy) of given two particle system is positive and initial velocity of separation is positive.

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

359454 Assertion :
If the accelerating potential of an electron doubled then its velocity becomes 1:4 times.
Reason :
It will move on a circular path will same velocity.

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

359455 Two point charges \(A = + 3\,nC\,{\rm{and}}\,B = + 1nC\) are placed 5 \(cm\) apart in air. The work done to move charge \(B\) towards \(A\) by 1 \(cm\) is

1 \(2.0 \times {10^{ - 7}}J\)
2 \(1.35 \times {10^{ - 7}}J\)
3 \(2.7 \times {10^{ - 7}}J\)
4 \(12.1 \times {10^{ - 7}}J\)
KCET - 2017
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359456 The three point charges, shown in the figure, lie along a straight line. The energy needed to exchange the position of the central positive charge with one of the negative charges is
supporting img

1 \({\dfrac{q^{2}}{8 \pi \varepsilon_{0} a}}\)
2 \({\dfrac{3 q^{2}}{8 \pi \varepsilon_{0} a}}\)
3 \({\dfrac{q^{2}}{4 \pi \varepsilon_{0} a}}\)
4 \({\dfrac{-q^{2}}{8 \pi \varepsilon_{0} a}}\)
NEET DIGITAL LIBRARY
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359452 Find out energy stored in an imaginary cubical volume of side \({a}\) in front of a infinitely large non-conducting sheet of uniform charge density \({\sigma}\).

1 \({\dfrac{\sigma^{2} a^{3}}{10 \varepsilon_{0}}}\)
2 \({\dfrac{\sigma^{2} a^{3}}{6 \varepsilon_{0}}}\)
3 \({\dfrac{\sigma^{2} a^{3}}{8 \varepsilon_{0}}}\)
4 \({\dfrac{\sigma^{2} a^{3}}{12 \varepsilon_{0}}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359453 Assertion :
An isolated system consists of two particles of equal masses \(m = 10\,gm\) and charges \({q_1} = + 1\,\mu C\) and \({q_2} = - 1\,\mu C\) as shown in figure. The initial separation of both charges is \(l = 1\;m\). Both the charges are given initial velocities \({v_1} = 1\;m{\rm{/}}s\) and \({v_2} = 2\;m{\rm{/}}s\) towards right. Then the maximum separation between the charges is infinity.
supporting img
Reason :
The total energy (Kinetic energy + electrostatic potential energy) of given two particle system is positive and initial velocity of separation is positive.

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

359454 Assertion :
If the accelerating potential of an electron doubled then its velocity becomes 1:4 times.
Reason :
It will move on a circular path will same velocity.

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

359455 Two point charges \(A = + 3\,nC\,{\rm{and}}\,B = + 1nC\) are placed 5 \(cm\) apart in air. The work done to move charge \(B\) towards \(A\) by 1 \(cm\) is

1 \(2.0 \times {10^{ - 7}}J\)
2 \(1.35 \times {10^{ - 7}}J\)
3 \(2.7 \times {10^{ - 7}}J\)
4 \(12.1 \times {10^{ - 7}}J\)
KCET - 2017
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359456 The three point charges, shown in the figure, lie along a straight line. The energy needed to exchange the position of the central positive charge with one of the negative charges is
supporting img

1 \({\dfrac{q^{2}}{8 \pi \varepsilon_{0} a}}\)
2 \({\dfrac{3 q^{2}}{8 \pi \varepsilon_{0} a}}\)
3 \({\dfrac{q^{2}}{4 \pi \varepsilon_{0} a}}\)
4 \({\dfrac{-q^{2}}{8 \pi \varepsilon_{0} a}}\)
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PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359452 Find out energy stored in an imaginary cubical volume of side \({a}\) in front of a infinitely large non-conducting sheet of uniform charge density \({\sigma}\).

1 \({\dfrac{\sigma^{2} a^{3}}{10 \varepsilon_{0}}}\)
2 \({\dfrac{\sigma^{2} a^{3}}{6 \varepsilon_{0}}}\)
3 \({\dfrac{\sigma^{2} a^{3}}{8 \varepsilon_{0}}}\)
4 \({\dfrac{\sigma^{2} a^{3}}{12 \varepsilon_{0}}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359453 Assertion :
An isolated system consists of two particles of equal masses \(m = 10\,gm\) and charges \({q_1} = + 1\,\mu C\) and \({q_2} = - 1\,\mu C\) as shown in figure. The initial separation of both charges is \(l = 1\;m\). Both the charges are given initial velocities \({v_1} = 1\;m{\rm{/}}s\) and \({v_2} = 2\;m{\rm{/}}s\) towards right. Then the maximum separation between the charges is infinity.
supporting img
Reason :
The total energy (Kinetic energy + electrostatic potential energy) of given two particle system is positive and initial velocity of separation is positive.

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

359454 Assertion :
If the accelerating potential of an electron doubled then its velocity becomes 1:4 times.
Reason :
It will move on a circular path will same velocity.

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

359455 Two point charges \(A = + 3\,nC\,{\rm{and}}\,B = + 1nC\) are placed 5 \(cm\) apart in air. The work done to move charge \(B\) towards \(A\) by 1 \(cm\) is

1 \(2.0 \times {10^{ - 7}}J\)
2 \(1.35 \times {10^{ - 7}}J\)
3 \(2.7 \times {10^{ - 7}}J\)
4 \(12.1 \times {10^{ - 7}}J\)
KCET - 2017
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359456 The three point charges, shown in the figure, lie along a straight line. The energy needed to exchange the position of the central positive charge with one of the negative charges is
supporting img

1 \({\dfrac{q^{2}}{8 \pi \varepsilon_{0} a}}\)
2 \({\dfrac{3 q^{2}}{8 \pi \varepsilon_{0} a}}\)
3 \({\dfrac{q^{2}}{4 \pi \varepsilon_{0} a}}\)
4 \({\dfrac{-q^{2}}{8 \pi \varepsilon_{0} a}}\)
For More Updates join with Us
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359452 Find out energy stored in an imaginary cubical volume of side \({a}\) in front of a infinitely large non-conducting sheet of uniform charge density \({\sigma}\).

1 \({\dfrac{\sigma^{2} a^{3}}{10 \varepsilon_{0}}}\)
2 \({\dfrac{\sigma^{2} a^{3}}{6 \varepsilon_{0}}}\)
3 \({\dfrac{\sigma^{2} a^{3}}{8 \varepsilon_{0}}}\)
4 \({\dfrac{\sigma^{2} a^{3}}{12 \varepsilon_{0}}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359453 Assertion :
An isolated system consists of two particles of equal masses \(m = 10\,gm\) and charges \({q_1} = + 1\,\mu C\) and \({q_2} = - 1\,\mu C\) as shown in figure. The initial separation of both charges is \(l = 1\;m\). Both the charges are given initial velocities \({v_1} = 1\;m{\rm{/}}s\) and \({v_2} = 2\;m{\rm{/}}s\) towards right. Then the maximum separation between the charges is infinity.
supporting img
Reason :
The total energy (Kinetic energy + electrostatic potential energy) of given two particle system is positive and initial velocity of separation is positive.

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

359454 Assertion :
If the accelerating potential of an electron doubled then its velocity becomes 1:4 times.
Reason :
It will move on a circular path will same velocity.

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

359455 Two point charges \(A = + 3\,nC\,{\rm{and}}\,B = + 1nC\) are placed 5 \(cm\) apart in air. The work done to move charge \(B\) towards \(A\) by 1 \(cm\) is

1 \(2.0 \times {10^{ - 7}}J\)
2 \(1.35 \times {10^{ - 7}}J\)
3 \(2.7 \times {10^{ - 7}}J\)
4 \(12.1 \times {10^{ - 7}}J\)
KCET - 2017
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359456 The three point charges, shown in the figure, lie along a straight line. The energy needed to exchange the position of the central positive charge with one of the negative charges is
supporting img

1 \({\dfrac{q^{2}}{8 \pi \varepsilon_{0} a}}\)
2 \({\dfrac{3 q^{2}}{8 \pi \varepsilon_{0} a}}\)
3 \({\dfrac{q^{2}}{4 \pi \varepsilon_{0} a}}\)
4 \({\dfrac{-q^{2}}{8 \pi \varepsilon_{0} a}}\)
NEET DIGITAL LIBRARY
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359452 Find out energy stored in an imaginary cubical volume of side \({a}\) in front of a infinitely large non-conducting sheet of uniform charge density \({\sigma}\).

1 \({\dfrac{\sigma^{2} a^{3}}{10 \varepsilon_{0}}}\)
2 \({\dfrac{\sigma^{2} a^{3}}{6 \varepsilon_{0}}}\)
3 \({\dfrac{\sigma^{2} a^{3}}{8 \varepsilon_{0}}}\)
4 \({\dfrac{\sigma^{2} a^{3}}{12 \varepsilon_{0}}}\)
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359453 Assertion :
An isolated system consists of two particles of equal masses \(m = 10\,gm\) and charges \({q_1} = + 1\,\mu C\) and \({q_2} = - 1\,\mu C\) as shown in figure. The initial separation of both charges is \(l = 1\;m\). Both the charges are given initial velocities \({v_1} = 1\;m{\rm{/}}s\) and \({v_2} = 2\;m{\rm{/}}s\) towards right. Then the maximum separation between the charges is infinity.
supporting img
Reason :
The total energy (Kinetic energy + electrostatic potential energy) of given two particle system is positive and initial velocity of separation is positive.

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

359454 Assertion :
If the accelerating potential of an electron doubled then its velocity becomes 1:4 times.
Reason :
It will move on a circular path will same velocity.

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

359455 Two point charges \(A = + 3\,nC\,{\rm{and}}\,B = + 1nC\) are placed 5 \(cm\) apart in air. The work done to move charge \(B\) towards \(A\) by 1 \(cm\) is

1 \(2.0 \times {10^{ - 7}}J\)
2 \(1.35 \times {10^{ - 7}}J\)
3 \(2.7 \times {10^{ - 7}}J\)
4 \(12.1 \times {10^{ - 7}}J\)
KCET - 2017
PHXII02:ELECTROSTATIC POTENTIAL AND CAPACITANCE

359456 The three point charges, shown in the figure, lie along a straight line. The energy needed to exchange the position of the central positive charge with one of the negative charges is
supporting img

1 \({\dfrac{q^{2}}{8 \pi \varepsilon_{0} a}}\)
2 \({\dfrac{3 q^{2}}{8 \pi \varepsilon_{0} a}}\)
3 \({\dfrac{q^{2}}{4 \pi \varepsilon_{0} a}}\)
4 \({\dfrac{-q^{2}}{8 \pi \varepsilon_{0} a}}\)