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A , B , C and D are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation AD =C In(BD) holds true. Then which of the combination is not a meaningful quantity? (i) A ^2-B^2C^2 (ii) (A/B)-C (iii)(C/BD)-AD^2/C (iv)(A-C)/D?
Most Upvoted Answer
A , B , C and D are four different physical quantities having differen...
- **Given Information:**
Given equation: AD = C In(BD)
Dimensions of A, B, C, and D are different and none of them is dimensionless.
- **Analysis:**
We need to determine which combination among the given options is not a meaningful quantity based on the given equation.
- **Calculations:**
(i) A^2 - B^2C^2
Substitute the value of C from the given equation:
A^2 - B^2(C In BD)^2
A^2 - B^2(C^2 ln^2 BD)
This combination is meaningful.
(ii) (A/B) - C
Substitute the value of C from the given equation:
(A/B) - C
(A/B) - AD/B
This combination is meaningful.
(iii) (C/BD) - AD^2/C
Substitute the value of C from the given equation:
(C/BD) - AD^2/C
(C/BD) - A(In BD)^2/C
This combination is meaningful.
(iv) (A-C)/D
Substitute the value of C from the given equation:
(A - AD)/D
A(1-D)/D
This combination is not a meaningful quantity as the dimensions do not cancel out to give a valid physical quantity.
- **Conclusion:**
Among the given combinations, (A-C)/D is not a meaningful physical quantity based on the given equation.
Community Answer
A , B , C and D are four different physical quantities having differen...
I think option 4 is meaningless.
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A , B , C and D are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation AD =C In(BD) holds true. Then which of the combination is not a meaningful quantity? (i) A ^2-B^2C^2 (ii) (A/B)-C (iii)(C/BD)-AD^2/C (iv)(A-C)/D?
Question Description
A , B , C and D are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation AD =C In(BD) holds true. Then which of the combination is not a meaningful quantity? (i) A ^2-B^2C^2 (ii) (A/B)-C (iii)(C/BD)-AD^2/C (iv)(A-C)/D? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A , B , C and D are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation AD =C In(BD) holds true. Then which of the combination is not a meaningful quantity? (i) A ^2-B^2C^2 (ii) (A/B)-C (iii)(C/BD)-AD^2/C (iv)(A-C)/D? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A , B , C and D are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation AD =C In(BD) holds true. Then which of the combination is not a meaningful quantity? (i) A ^2-B^2C^2 (ii) (A/B)-C (iii)(C/BD)-AD^2/C (iv)(A-C)/D?.
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