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A physical quantity of the dimensions of length that can be formed out of c, G and e ^ 2 4περ is [c is velocity of light, G is universal constant of gravitation and e is charge]?
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A physical quantity of the dimensions of length that can be formed out...
Formation of a Physical Quantity with Dimensions of Length
- Given Quantities:
- c: velocity of light
- G: universal constant of gravitation
- e: charge
- Dimensional Analysis:
By analyzing the given quantities using dimensional analysis, we can form a physical quantity with dimensions of length.
- Step 1:
Let's start by constructing a quantity with dimensions of length using the given quantities c, G, and e.
We know that the dimensions of velocity (c) are [LT^-1], the dimensions of universal constant of gravitation (G) are [M^-1L^3T^-2], and the dimensions of charge (e) are [AT].
- Step 2:
To form a quantity with dimensions of length, we can combine the given quantities in a way that cancels out all other dimensions except for length.
- Step 3:
One possible combination is:
Length = c^2 / (G * e^2 * 4περ)
This combination results in dimensions of length [L].
- Conclusion:
By appropriately combining the velocity of light (c), universal constant of gravitation (G), and charge (e), we have successfully formed a physical quantity with dimensions of length. This demonstrates the application of dimensional analysis in constructing meaningful quantities in physics.
- Given Quantities:
- c: velocity of light
- G: universal constant of gravitation
- e: charge
- Dimensional Analysis:
By analyzing the given quantities using dimensional analysis, we can form a physical quantity with dimensions of length.
- Step 1:
Let's start by constructing a quantity with dimensions of length using the given quantities c, G, and e.
We know that the dimensions of velocity (c) are [LT^-1], the dimensions of universal constant of gravitation (G) are [M^-1L^3T^-2], and the dimensions of charge (e) are [AT].
- Step 2:
To form a quantity with dimensions of length, we can combine the given quantities in a way that cancels out all other dimensions except for length.
- Step 3:
One possible combination is:
Length = c^2 / (G * e^2 * 4περ)
This combination results in dimensions of length [L].
- Conclusion:
By appropriately combining the velocity of light (c), universal constant of gravitation (G), and charge (e), we have successfully formed a physical quantity with dimensions of length. This demonstrates the application of dimensional analysis in constructing meaningful quantities in physics.
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A physical quantity of the dimensions of length that can be formed out of c, G and e ^ 2 4περ is [c is velocity of light, G is universal constant of gravitation and e is charge]?
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A physical quantity of the dimensions of length that can be formed out of c, G and e ^ 2 4περ is [c is velocity of light, G is universal constant of gravitation and e is charge]? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A physical quantity of the dimensions of length that can be formed out of c, G and e ^ 2 4περ is [c is velocity of light, G is universal constant of gravitation and e is charge]? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A physical quantity of the dimensions of length that can be formed out of c, G and e ^ 2 4περ is [c is velocity of light, G is universal constant of gravitation and e is charge]?.
A physical quantity of the dimensions of length that can be formed out of c, G and e ^ 2 4περ is [c is velocity of light, G is universal constant of gravitation and e is charge]? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A physical quantity of the dimensions of length that can be formed out of c, G and e ^ 2 4περ is [c is velocity of light, G is universal constant of gravitation and e is charge]? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A physical quantity of the dimensions of length that can be formed out of c, G and e ^ 2 4περ is [c is velocity of light, G is universal constant of gravitation and e is charge]?.
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