Question

Which of the following is a dimension less quantity?

Answer 1

Answer:

In dimensional analysis, a dimensionless quantity is a quantity to which no physical dimension is assigned,

Explanation:

• Radian, the SI unit of plane angle is dimensionless i.e. angular displacement as theta =s (arc)/r (radius) or theta=omega x time (where omega is angular velocity with SI unit radians per sec)

• Efficiency also dimensionless as efficiency =output/input

• All trigonometric ratios, sine,cosine,tan theta are also dimensionless

• Similarly strain is also dimensionless as strain=change in length or volume/original length or volume.

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