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A physical quantity x depends on quantities y and z as follows: x= Ay+BtanCz , where A,B and C are constants. which of the following do not have the same dimensions.
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A physical quantity x depends on quantities y and z as follows: x= Ay+...
Analysis:
- The given expression for x has terms involving y and z with coefficients A, B, and C.
- To determine which quantities do not have the same dimensions, we need to analyze the dimensions of each term in the expression.
Dimensions of Terms:
- The dimension of x is the same as the dimension of Ay + BtanCz.
- The dimension of Ay is the same as the dimension of A multiplied by the dimension of y.
- The dimension of BtanCz is the same as the dimension of B multiplied by the dimension of tanCz.
Breaking it down:
- The dimension of A is [x]/[y].
- The dimension of B is [x]/[tanCz].
- The dimension of tanCz is dimensionless.
- The dimension of y is [y].
- The dimension of z is [z].
Conclusion:
- From the analysis, it can be concluded that the quantities y and z do not have the same dimensions.
- The dimensions of y and z are independent of each other, as y has a dimension [y] and z has a dimension [z].
- Therefore, y and z do not have the same dimensions in the given expression for x.
Community Answer
A physical quantity x depends on quantities y and z as follows: x= Ay+...
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A physical quantity x depends on quantities y and z as follows: x= Ay+BtanCz , where A,B and C are constants. which of the following do not have the same dimensions.
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A physical quantity x depends on quantities y and z as follows: x= Ay+BtanCz , where A,B and C are constants. which of the following do not have the same dimensions. for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A physical quantity x depends on quantities y and z as follows: x= Ay+BtanCz , where A,B and C are constants. which of the following do not have the same dimensions. covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A physical quantity x depends on quantities y and z as follows: x= Ay+BtanCz , where A,B and C are constants. which of the following do not have the same dimensions..
A physical quantity x depends on quantities y and z as follows: x= Ay+BtanCz , where A,B and C are constants. which of the following do not have the same dimensions. for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A physical quantity x depends on quantities y and z as follows: x= Ay+BtanCz , where A,B and C are constants. which of the following do not have the same dimensions. covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A physical quantity x depends on quantities y and z as follows: x= Ay+BtanCz , where A,B and C are constants. which of the following do not have the same dimensions..
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