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The density of mercury is 13.6gm/cc . Convert it into S.I. units:
A. 13.6×103kg/m3B. 13.6×102kg/m3C. 13.6×104kg/m3D. 13.6×105kg/m3

Answer
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Hint: In order to convert the given units in S.I. unit, we have to convert it in kg/m3 , so we will use some basic conversion as 1 kg=1000 g and 1 m=100 cm, by using it we will get the required answer.

Formula Used- 1kg=1000g,1m=100cm

Complete step-by-step solution -

Dimensions of Density are ML3
We know that 1kg=1000g and 1m=100cm
So simultaneously we have:
1kg=1000g1g=103kg
And also we have:
1m=100cm1cm=102m
Given that the density of mercury is 13.6gm/cc so, let us convert it to standard unit kg/m3 by the use of conversion terms shown above.
So, density of mercury:
=13.6gm/cc=13.6×1g1cm3=13.6×1g(1cm)3=13.6×103kg(102m)3=13.6×103kg106m3=13.6×103kgm3=13.6×103kgm3=13.6×103kg/m3
Hence, the density of mercury in S.I. unit is 13.6×103kg/m3 .
So, the correct answer is option A.

Note- Density is a measurement comparing the volume of matter an object has. An object with a certain volume with more matter has high density. An object of the same volume has a low density, with little matter. Density is determined by dividing an object's mass by its volume. In order to solve such problems students must follow the basic step still there are formulas for direct conversion from one unit to another which can be used as well.