Question

# Which of the following is dimensionless?

A
Force/acceleration
B
Velocity/acceleration
C
Volume/area
D
Energy/work

Solution

## The correct option is D Energy/workA dimensionless quantity is the one for which no physical dimension is assigned. It is also known as a bare, pure, or scalar quantity or also as a quantity of dimension one. Work and energy both are having the same dimensions as $$[M L^{2} T^{2}]$$. The ratio $$\dfrac{Energy}{Work}$$ will be a dimensionless quantity. The correct option is D.Physics

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