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? The dimensionless quantity is.

Which of the following is not a dimensionless quantity

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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. Dimensionless units are dimensionless values that serve as units of measurement for expressing other quantities, such as radians rad or steradians sr for plane angles and solid angles , respectively. Quantities having dimension one, dimensionless quantities , regularly occur in sciences, and are formally treated within the field of dimensional analysis. In the nineteenth century, French mathematician Joseph Fourier and Scottish physicist James Clerk Maxwell led significant developments in the modern concepts of dimension and unit. Later work by British physicists Osborne Reynolds and Lord Rayleigh contributed to the understanding of dimensionless numbers in physics. Numerous dimensionless numbers, mostly ratios, were coined in the early s, particularly in the areas of fluid mechanics and heat transfer. Measuring ratios in the derived unit dB decibel finds widespread use nowadays. There have been periodic proposals to "patch" the SI system to reduce confusion regarding physical dimensions.

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.

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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.

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