Class 12 Exam > Class 12 Questions > Which of the following statement (s) is/are c...
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Which of the following statement (s) is/are correct?
- a)If the electric field due to a point charge varies as r -2.5 instead of r -2, then the Gauss's law will still be valid
- b)The Gauss's law can be used to calculate the field distribution around an electric dipole
- c)If the electric field between two point charges is zero somewhere, then the sign of the two charges is the same
- d)The work done by the external force in moving a unit positive charge from point A at potential VA to point B at potential VB is (VB - VA)
Correct answer is option 'C,D'. Can you explain this answer?
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Understanding the Statements
Let's analyze each statement to determine its validity.
Statement A: Electric Field Variation
- If the electric field due to a point charge varies as \( r^{-2.5} \) instead of \( r^{-2} \), Gauss's law will not hold in its standard form.
- Gauss's law states that the electric flux through a closed surface is proportional to the charge enclosed. This holds true for fields that vary as \( r^{-2} \) (like point charges), but not for different dependency. Therefore, this statement is incorrect.
Statement B: Electric Field of a Dipole
- Gauss's law can be applied to symmetrical charge distributions. However, for an electric dipole, which has non-uniform field lines, it is not straightforward to use Gauss's law to find the electric field due to the dipole. Thus, this statement is also incorrect.
Statement C: Zero Electric Field
- If the electric field between two point charges is zero somewhere, it indicates that the magnitudes of the electric fields due to each charge are equal but opposite. This can only occur if the charges are of opposite signs (e.g., + and -). Thus, this statement is correct.
Statement D: Work Done by External Force
- The work done by an external force in moving a unit positive charge from point A at potential \( V_A \) to point B at potential \( V_B \) is given by \( W = V_B - V_A \). This is a fundamental concept in electrostatics, making this statement correct.
Conclusion
The correct statements are C and D, as they align with the principles of electrostatics and electric fields.
Let's analyze each statement to determine its validity.
Statement A: Electric Field Variation
- If the electric field due to a point charge varies as \( r^{-2.5} \) instead of \( r^{-2} \), Gauss's law will not hold in its standard form.
- Gauss's law states that the electric flux through a closed surface is proportional to the charge enclosed. This holds true for fields that vary as \( r^{-2} \) (like point charges), but not for different dependency. Therefore, this statement is incorrect.
Statement B: Electric Field of a Dipole
- Gauss's law can be applied to symmetrical charge distributions. However, for an electric dipole, which has non-uniform field lines, it is not straightforward to use Gauss's law to find the electric field due to the dipole. Thus, this statement is also incorrect.
Statement C: Zero Electric Field
- If the electric field between two point charges is zero somewhere, it indicates that the magnitudes of the electric fields due to each charge are equal but opposite. This can only occur if the charges are of opposite signs (e.g., + and -). Thus, this statement is correct.
Statement D: Work Done by External Force
- The work done by an external force in moving a unit positive charge from point A at potential \( V_A \) to point B at potential \( V_B \) is given by \( W = V_B - V_A \). This is a fundamental concept in electrostatics, making this statement correct.
Conclusion
The correct statements are C and D, as they align with the principles of electrostatics and electric fields.
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Which of the following statement (s) is/are correct?a)If the electric field due to a point charge varies as r -2.5 instead of r -2, then the Gauss's law will still be validb)The Gauss's law can be used to calculate the field distribution around an electric dipolec)If the electric field between two point charges is zero somewhere, then the sign of the two charges is the samed)The work done by the external force in moving a unit positive charge from point A at potential VA to point B at potential VB is (VB - VA)Correct answer is option 'C,D'. Can you explain this answer?
Question Description
Which of the following statement (s) is/are correct?a)If the electric field due to a point charge varies as r -2.5 instead of r -2, then the Gauss's law will still be validb)The Gauss's law can be used to calculate the field distribution around an electric dipolec)If the electric field between two point charges is zero somewhere, then the sign of the two charges is the samed)The work done by the external force in moving a unit positive charge from point A at potential VA to point B at potential VB is (VB - VA)Correct answer is option 'C,D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Which of the following statement (s) is/are correct?a)If the electric field due to a point charge varies as r -2.5 instead of r -2, then the Gauss's law will still be validb)The Gauss's law can be used to calculate the field distribution around an electric dipolec)If the electric field between two point charges is zero somewhere, then the sign of the two charges is the samed)The work done by the external force in moving a unit positive charge from point A at potential VA to point B at potential VB is (VB - VA)Correct answer is option 'C,D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statement (s) is/are correct?a)If the electric field due to a point charge varies as r -2.5 instead of r -2, then the Gauss's law will still be validb)The Gauss's law can be used to calculate the field distribution around an electric dipolec)If the electric field between two point charges is zero somewhere, then the sign of the two charges is the samed)The work done by the external force in moving a unit positive charge from point A at potential VA to point B at potential VB is (VB - VA)Correct answer is option 'C,D'. Can you explain this answer?.
Which of the following statement (s) is/are correct?a)If the electric field due to a point charge varies as r -2.5 instead of r -2, then the Gauss's law will still be validb)The Gauss's law can be used to calculate the field distribution around an electric dipolec)If the electric field between two point charges is zero somewhere, then the sign of the two charges is the samed)The work done by the external force in moving a unit positive charge from point A at potential VA to point B at potential VB is (VB - VA)Correct answer is option 'C,D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Which of the following statement (s) is/are correct?a)If the electric field due to a point charge varies as r -2.5 instead of r -2, then the Gauss's law will still be validb)The Gauss's law can be used to calculate the field distribution around an electric dipolec)If the electric field between two point charges is zero somewhere, then the sign of the two charges is the samed)The work done by the external force in moving a unit positive charge from point A at potential VA to point B at potential VB is (VB - VA)Correct answer is option 'C,D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statement (s) is/are correct?a)If the electric field due to a point charge varies as r -2.5 instead of r -2, then the Gauss's law will still be validb)The Gauss's law can be used to calculate the field distribution around an electric dipolec)If the electric field between two point charges is zero somewhere, then the sign of the two charges is the samed)The work done by the external force in moving a unit positive charge from point A at potential VA to point B at potential VB is (VB - VA)Correct answer is option 'C,D'. Can you explain this answer?.
Solutions for Which of the following statement (s) is/are correct?a)If the electric field due to a point charge varies as r -2.5 instead of r -2, then the Gauss's law will still be validb)The Gauss's law can be used to calculate the field distribution around an electric dipolec)If the electric field between two point charges is zero somewhere, then the sign of the two charges is the samed)The work done by the external force in moving a unit positive charge from point A at potential VA to point B at potential VB is (VB - VA)Correct answer is option 'C,D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
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Which of the following statement (s) is/are correct?a)If the electric field due to a point charge varies as r -2.5 instead of r -2, then the Gauss's law will still be validb)The Gauss's law can be used to calculate the field distribution around an electric dipolec)If the electric field between two point charges is zero somewhere, then the sign of the two charges is the samed)The work done by the external force in moving a unit positive charge from point A at potential VA to point B at potential VB is (VB - VA)Correct answer is option 'C,D'. Can you explain this answer?, a detailed solution for Which of the following statement (s) is/are correct?a)If the electric field due to a point charge varies as r -2.5 instead of r -2, then the Gauss's law will still be validb)The Gauss's law can be used to calculate the field distribution around an electric dipolec)If the electric field between two point charges is zero somewhere, then the sign of the two charges is the samed)The work done by the external force in moving a unit positive charge from point A at potential VA to point B at potential VB is (VB - VA)Correct answer is option 'C,D'. Can you explain this answer? has been provided alongside types of Which of the following statement (s) is/are correct?a)If the electric field due to a point charge varies as r -2.5 instead of r -2, then the Gauss's law will still be validb)The Gauss's law can be used to calculate the field distribution around an electric dipolec)If the electric field between two point charges is zero somewhere, then the sign of the two charges is the samed)The work done by the external force in moving a unit positive charge from point A at potential VA to point B at potential VB is (VB - VA)Correct answer is option 'C,D'. Can you explain this answer? theory, EduRev gives you an
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