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Question: Density of mercury in MKS is 13600 kg \[{{\text{m}}^{{\text{ - 3}}}}\]then in CGS is: A. 1.36 g\[{...

Density of mercury in MKS is 13600 kg m - 3{{\text{m}}^{{\text{ - 3}}}}then in CGS is:
A. 1.36 gm - 3{{\text{m}}^{{\text{ - 3}}}}
B. 13.6kg cm - 3{\text{c}}{{\text{m}}^{{\text{ - 3}}}}
C. 13.6 g cm - 3{\text{c}}{{\text{m}}^{{\text{ - 3}}}}
D. 1.36 kg m - 3{{\text{m}}^{{\text{ - 3}}}}

Explanation

Solution

Hint: The unit MKS system is a physical measuring system that uses the metre, kilogram, and second as base units. The unit centimeter – gram – second (CGS) system is a variant of the metric system based on the centimeter as length unit, the gram as mass unit, and the second as time unit.

Complete step-by-step answer:
We know 1kg = 103{\text{1}}{{\text{0}}^3}grams.
So, (1m)3=(102cm)3{(1m)^3} = {({10^2}cm)^3}
13600 kg m - 3{{\text{m}}^{{\text{ - 3}}}}=?
13600×103106cm3=13.6gcm−3\dfrac{{13600 \times {{10}^3}}}{{{{10}^6}c{m^3}}} = 13.6gc{m^{ - 3}}
Therefore, density of mercury in CGS is 13.6gcm−313.6gc{m^{ - 3}}
Hence, option C is the right answer.

Note: Mercury is a chemical element with an atomic number 80 and a symbol Hg. It is commonly referred to as quicksilver, and was previously called hydrargyrum. A heavy, silvery d-block element, mercury is the only metallic element that is liquid under standard temperature and pressure conditions; the only other element that is liquid under these conditions is the halogen bromine, although metals such as cesium, gallium, and rubidium merge just above room temperature. Mercury occurs in deposits worldwide mostly as cinnabar (mercuric sulfide). The vermilion of the red pigment is obtained by grinding natural cinnabar or synthetic mercury sulfide.
Mercury is used in thermometers , barometers, manometers, sphygmomanometers, float valves, mercury switches, mercury relays, fluorescent lamps and other devices, although concerns about the toxicity of the element have led to a largely phased out of mercury thermometers and sphygmomanometers in clinical settings in favor of alternatives such as alcohol or Galinstan-filled glass thermometers and thermometers Likewise, sphygmomanometers of mercury were replaced by mechanical pressure gauges and electronic strain gage sensors.