he density of a body is 500 kg m−3. Then its equiv-alent value in CGS system is _____
Question
The density of a body is 500 kg m−3. Then its equivalent value in CGS system is _____
Solution
To find the equivalent value of density in the CGS system, we need to convert the given density from the SI system (kg m^-3) to the CGS system (g cm^-3).
Step 1: Convert the density from kg m^-3 to g cm^-3. Since 1 kg = 1000 g and 1 m = 100 cm, we can convert the density as follows: Density in g cm^-3 = (Density in kg m^-3) * (1000 g / 1 kg) * (1 m / 100 cm)^3
Step 2: Simplify the conversion. Density in g cm^-3 = (Density in kg m^-3) * (1000 g / 1 kg) * (1 / 100^3 cm^3)
Step 3: Calculate the equivalent value. Density in g cm^-3 = (Density in kg m^-3) * (10^6 g / cm^3)
Given that the density of the body is 500 kg m^-3, we can substitute this value into the equation: Density in g cm^-3 = (500 kg m^-3) * (10^6 g / cm^3)
Step 4: Perform the calculation. Density in g cm^-3 = 500 * 10^6 g / cm^3
Therefore, the equivalent value of the density in the CGS system is 500 * 10^6 g cm^-3.
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