What is the value of ${{58}}{{.34 g}}$ in Kilograms?
A. ${{5}}{{.834 \times 1}}{{{0}}^{{{ - 1}}}}{{ Kg}}$
B. ${{5}}{{.834 \times 1}}{{{0}}^{{{ - 2}}}}{{ Kg}}$
C. ${{5}}{{.834 \times 1}}{{{0}}^{{{ - 3}}}}{{ Kg}}$
D. ${{5}}{{.834 \times 1}}{{{0}}^{{1}}}{{ Kg}}$
Answer
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Hint: System of International unit or SI unit is a set of units given to symbolize a particular physical quantity and according to SI unit mass is measured in terms of ${{Kg}}$
Complete step by step answer:
Unit is amount of physical quantity just as Kilogram, gram
Distance has units as metre, centimetre, kilometre and light years
And time has a unit of minute, hours and seconds
In the given problem mass is in CGS system
${{1 Kg = 1000 g}}$
${{ ? = 58}}{{.34 g}}$
\[\dfrac{{{{1 \times 58}}{{.34 }}}}{{{{1000}}}}{{ = 0}}{{.05834}}\]
${{5}}{{.834 \times 1}}{{{0}}^{{{ - 2}}}}{{ Kg}}$
So, the correct answer is Option B.
Additional information:
According to CGS (Centimetre, gram, second) distance is measured in ${{centimetre}}$, mass is measured in${{grams}}$ and time in ${{seconds}}$. According to SI unit distance is measured in ${{metre}}\left( {{m}} \right)$, mass in ${{Kilogram(Kg)}}$, time in ${{seconds}}\left( {{s}} \right)$, electric current in ${{Ampere}}\left( {{A}} \right)$, temperature in ${{Kelvin}}\left( {{K}} \right)$, amount of substance in ${{mol}}$ and luminous intensity in terms of ${{Candela}}\left( {{C}} \right)$
Note: SI unit is becoming the dominant unit day by day. The SI unit has come into use because of the lack of coordination in various disciples using them and there was no consistency in electromagnetic units and electrostatic units.
Complete step by step answer:
Unit is amount of physical quantity just as Kilogram, gram
Distance has units as metre, centimetre, kilometre and light years
And time has a unit of minute, hours and seconds
In the given problem mass is in CGS system
${{1 Kg = 1000 g}}$
${{ ? = 58}}{{.34 g}}$
\[\dfrac{{{{1 \times 58}}{{.34 }}}}{{{{1000}}}}{{ = 0}}{{.05834}}\]
${{5}}{{.834 \times 1}}{{{0}}^{{{ - 2}}}}{{ Kg}}$
So, the correct answer is Option B.
Additional information:
According to CGS (Centimetre, gram, second) distance is measured in ${{centimetre}}$, mass is measured in${{grams}}$ and time in ${{seconds}}$. According to SI unit distance is measured in ${{metre}}\left( {{m}} \right)$, mass in ${{Kilogram(Kg)}}$, time in ${{seconds}}\left( {{s}} \right)$, electric current in ${{Ampere}}\left( {{A}} \right)$, temperature in ${{Kelvin}}\left( {{K}} \right)$, amount of substance in ${{mol}}$ and luminous intensity in terms of ${{Candela}}\left( {{C}} \right)$
Note: SI unit is becoming the dominant unit day by day. The SI unit has come into use because of the lack of coordination in various disciples using them and there was no consistency in electromagnetic units and electrostatic units.
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