Which of the following is not a dimensionless quantity

Last updated on Mar 31,

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 order to be able to give an answer, we need certain measurable quantities as input - in the present case, the mass of the box and the height of a floor. Then, using our laws of physics, we will be able to produce another measurable quantity as our answer - here the amount of work needed. Of course, you could check this answer, and thus validate our physical model of reality, by measuring the quantity in question. The term we use to express this is, rather unfortunately, to say that physical quantities have a dimension - not to be confused with length, height and width. Anything that has a dimension can be measured, and to do so we use units - though there may be different units in which we measure the same quantity, such as centimeters and inches for length.

Which of the following is not a dimensionless quantity

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.

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A dimensionless quantity also known as a bare quantity , pure quantity as well as quantity of dimension one [1] is a quantity to which no physical dimension is assigned, with a corresponding SI unit of measurement of one or 1 , [2] [3] which is not explicitly shown. Dimensionless quantities are widely used in many fields, such as mathematics , physics , chemistry , engineering , and economics. Dimensionless quantities are distinct from quantities that have associated dimensions, such as time measured in seconds.

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