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Consider the physical quantities s,t,u and v. These quantities are related by the equation: s=ktuvc (where a, b and care constants) and have dimensions: [s] = MLT-2 [t] = M²L² 4 [u] = M³T [v]=L²T Also, k is a dimensionless constant. For the above equation to be dimensionally compatible, the required value of a is:

Consider the physical quantities s,t,u and v. These quantities are related by the equation: s=ktuvc (where a, b and care constants) and have dimensions: [s] = MLT-2 [t] = M²L² 4 [u] = M³T [v]=L²T Also, k is a dimensionless constant. For the above equation to be dimensionally compatible, the required value of a is:

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the physical quantities s,t,u and y. These quantities are related by the equation: kto uve (where a, b and care constants) and have dimensions: [s] = MLT-2 [t] = M²L² 4 [u] = M³T [v] = L²T Also, k is a dimensionless constant. For the above equation to be dimensionally compatible, the required value of a is: 27
Transcribed Image Text:Consider the physical quantities s,t,u and y. These quantities are related by the equation: kto uve (where a, b and care constants) and have dimensions: [s] = MLT-2 [t] = M²L² 4 [u] = M³T [v] = L²T Also, k is a dimensionless constant. For the above equation to be dimensionally compatible, the required value of a is: 27
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