A spherical virus has a diameter of

MATHEMATICS · Subjective · CBSE · Mathematics · Power Play · Power Play

Problem

120\,\text{nm}

. The density of the viral material is

1.2\,\text{g}\,\text{cm}^{-3}

. Answer the following: (i) Convert the diameter to metres in scientific notation and hence write the radius in metres in scientific notation. (ii) Calculate the volume of a single virus in

\text{m}^3

and express the result in scientific notation, keeping three significant figures. (iii) Convert the given density to

\text{kg}\,\text{m}^{-3}

in scientific notation. (iv) Using your answers in (ii) and (iii), find the mass of one virus in kilograms, writing the answer in scientific notation with the appropriate significant figures. (v) How many such viruses together would have a total mass of

1\,\text{mg}

? Express the number in scientific notation and state its order of magnitude.

Related theory

Mechanics Foundations
Real Number System
Scientific notation

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