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NEET PHYSICSEasy

The density of wood is 0.5 g/cc in the CGS system of units. The corresponding value in MKS units is:

A

500

B

5

C

0.5

D

5000

Step-by-Step Solution

To convert the density from the CGS system (g/cm3g/cm^3 or g/ccg/cc) to the MKS (SI) system (kg/m3kg/m^3), we use the standard conversion factors for mass and length.

  1. Conversion Factors: Mass: 1 g=103 kg1 \text{ g} = 10^{-3} \text{ kg}. Volume: 1 cm=102 m1 \text{ cm} = 10^{-2} \text{ m}, so 1 cm3=(102 m)3=106 m31 \text{ cm}^3 = (10^{-2} \text{ m})^3 = 10^{-6} \text{ m}^3.

  2. Derived Conversion for Density: 1gcm3=103 kg106 m3=103kgm3=1000kgm31 \frac{\text{g}}{\text{cm}^3} = \frac{10^{-3} \text{ kg}}{10^{-6} \text{ m}^3} = 10^3 \frac{\text{kg}}{\text{m}^3} = 1000 \frac{\text{kg}}{\text{m}^3} This direct conversion is listed in the NCERT Appendices .

  3. Calculation: Given density =0.5 g/cc= 0.5 \text{ g/cc}. 0.5×1000=500 kg/m30.5 \times 1000 = 500 \text{ kg/m}^3

Thus, the numerical value in MKS units is 500.

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