Which of the following is not a dimensionless quantity

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Plank's constant. Dielectric constant. Solid engle. A dimensionless quantity. Which one of the following is not dimensionless?

Which of the following is not a dimensionless quantity

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In dimensional analysis , a dimensionless quantity or more precisely, a quantity with the dimensions of 1 is a quantity without any physical units and thus a pure number. Such a number is typically defined as a product or ratio of quantities which do have units, in such a way that all the units cancel out. There are infinitely many dimensionless quantities and they are often called numbers. Some of those that are used most often have been given names, as in the following list of examples alphabetical order :. Contents move to sidebar hide. Page Talk.

Which of the following is not a dimensionless quantity

The dimension of any physical quantity expresses its dependence on the base quantities as a product of symbols or powers of symbols representing the base quantities. Figure lists the base quantities and the symbols used for their dimension. For example, a measurement of length is said to have dimension L or L 1 , a measurement of mass has dimension M or M 1 , and a measurement of time has dimension T or T 1. Like units, dimensions obey the rules of algebra. Thus, area is the product of two lengths and so has dimension L 2 , or length squared. Similarly, volume is the product of three lengths and has dimension L 3 , or length cubed. Physicists often call dimensionless quantities pure numbers. Physicists often use square brackets around the symbol for a physical quantity to represent the dimensions of that quantity.

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The dimension of any physical quantity expresses its dependence on the base quantities as a product of symbols or powers of symbols representing the base quantities.

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