Question

What is dimensionless?(a) Force/Acceleration(b) Velocity/Acceleration(c) Volume/Area(d) Energy/Work

Answer 1

Answer:

(d) Energy/Work

Energy/Work is dimensionless.

Explanation:

Work of Energy=force × displacement

[work ]=[force][displacement]

[$MLT^{-2}$][L]=[$ML^{2}$,$T^{-2}$]

When no physical dimension is attributed to a quantity, it is said to be dimensionless. It is also referred to as a quantity of dimension one, a naked, pure, or scalar quantity.

Energy and work have the same dimensions as each other,

[$ML^{2}$,$T^{-2}$]

So. The right answer is D. Energy/Work is dimensionless. A physical amount without physical units is said to be dimensionless. Strain is the proportion of length change to initial length, for instance, and is an example of a dimensionless quantity. The lateral strain to longitudinal strain ratio is known as the Poisson's ratio.