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The electrostatic field due to a point charge depends on the distance r as 1/r2 . Indicate which of the following quantities shows same dependence on r.
- a)Intensity of light from a point source.
- b)Electrostatic potential due to a point charge.
- c)Electrostatic potential at a distance r from the centre of a charged metallic sphere. Given r < radius of the sphere.
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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The electrostatic field due to a point charge depends on the distance ...
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Option (a)
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The electrostatic field due to a point charge depends on the distance ...
Understanding the Dependence on Distance r
In physics, certain quantities exhibit specific dependence on distance. Here, we analyze the relationship for a point charge and compare it with other quantities.
1. Electrostatic Field from a Point Charge
- The electrostatic field (E) due to a point charge is given by the formula: E ∝ 1/r².
- This indicates that as the distance (r) from the charge increases, the electrostatic field strength decreases with the square of the distance.
2. Intensity of Light from a Point Source
- The intensity (I) of light radiating from a point source also follows the same principle: I ∝ 1/r².
- As light travels away from the source, its intensity diminishes following the inverse square law, similar to the electrostatic field.
3. Electrostatic Potential Due to a Point Charge
- The electrostatic potential (V) due to a point charge is given by: V ∝ 1/r.
- Unlike the electric field, the potential decreases linearly with distance, not with the square of the distance.
4. Electrostatic Potential Inside a Charged Metallic Sphere
- For a charged metallic sphere, if we consider the electric potential at a point inside the sphere (r < radius),="" the="" potential="" remains="" constant="" and="" equals="" the="" potential="" at="" the="" />
- There is no dependence on distance r for points inside the sphere.
Conclusion
- Among the options, only the intensity of light from a point source (option A) exhibits the same 1/r² dependence as the electrostatic field due to a point charge.
- The electrostatic potential and the potential inside a charged sphere do not follow this relationship. Thus, option A is indeed the correct answer.
In physics, certain quantities exhibit specific dependence on distance. Here, we analyze the relationship for a point charge and compare it with other quantities.
1. Electrostatic Field from a Point Charge
- The electrostatic field (E) due to a point charge is given by the formula: E ∝ 1/r².
- This indicates that as the distance (r) from the charge increases, the electrostatic field strength decreases with the square of the distance.
2. Intensity of Light from a Point Source
- The intensity (I) of light radiating from a point source also follows the same principle: I ∝ 1/r².
- As light travels away from the source, its intensity diminishes following the inverse square law, similar to the electrostatic field.
3. Electrostatic Potential Due to a Point Charge
- The electrostatic potential (V) due to a point charge is given by: V ∝ 1/r.
- Unlike the electric field, the potential decreases linearly with distance, not with the square of the distance.
4. Electrostatic Potential Inside a Charged Metallic Sphere
- For a charged metallic sphere, if we consider the electric potential at a point inside the sphere (r < radius),="" the="" potential="" remains="" constant="" and="" equals="" the="" potential="" at="" the="" />
- There is no dependence on distance r for points inside the sphere.
Conclusion
- Among the options, only the intensity of light from a point source (option A) exhibits the same 1/r² dependence as the electrostatic field due to a point charge.
- The electrostatic potential and the potential inside a charged sphere do not follow this relationship. Thus, option A is indeed the correct answer.
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The electrostatic field due to a point charge depends on the distance r as 1/r2. Indicate which of the following quantities shows same dependence on r.a)Intensity of light from a point source.b)Electrostatic potential due to a point charge.c)Electrostatic potential at a distance r from the centre of a charged metallic sphere. Given r < radius of the sphere.d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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The electrostatic field due to a point charge depends on the distance r as 1/r2. Indicate which of the following quantities shows same dependence on r.a)Intensity of light from a point source.b)Electrostatic potential due to a point charge.c)Electrostatic potential at a distance r from the centre of a charged metallic sphere. Given r < radius of the sphere.d)None of theseCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The electrostatic field due to a point charge depends on the distance r as 1/r2. Indicate which of the following quantities shows same dependence on r.a)Intensity of light from a point source.b)Electrostatic potential due to a point charge.c)Electrostatic potential at a distance r from the centre of a charged metallic sphere. Given r < radius of the sphere.d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The electrostatic field due to a point charge depends on the distance r as 1/r2. Indicate which of the following quantities shows same dependence on r.a)Intensity of light from a point source.b)Electrostatic potential due to a point charge.c)Electrostatic potential at a distance r from the centre of a charged metallic sphere. Given r < radius of the sphere.d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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