Question
Download Solution PDFWhich of the following is not an application of dimensional analysis?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- Dimensional analysis: The study of relationships between physical quantities with the help of their dimensions and units of measurements is called dimensional analysis.
- Advantages of dimensional analysis:
- Consistency of a dimensional equation.
- Derivation of the relation between physical quantities in physical phenomena.
- To change units from one system to another.
- Limitations of dimensional analysis:
- By this method, the value of a dimensionless constant cannot be calculated.
- By this method, the equation containing trigonometrical, exponential, and logarithmic terms cannot be analysed.
- In a physical quantity depends on more than three factors, and then relation among them cannot be established.
EXPLANATION:
- In dimensional analysis, the advantages are:
- Conversion of units from one system to another. So option 1 is correct.
- Checking the dimensional balance of the equation. So option 2 is correct.
- Relation among the various physical quantities. So option 3 is correct.
- In dimensional analysis limitation is
- The value of a dimensionless constant cannot be calculated. So option 4 is a limitation, not an advantage. So option 4 is correct.
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