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Question

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=10−3 kg1 \text{ g} = 10^{-3} \text{ kg}. Volume: 1 cm=10−2 m1 \text{ cm} = 10^{-2} \text{ m}, so 1 cm3=(10−2 m)3=10−6 m31 \text{ cm}^3 = (10^{-2} \text{ m})^3 = 10^{-6} \text{ m}^3.

  2. Derived Conversion for Density: 1gcm3=10−3 kg10−6 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.

Exam Context & Concepts Covered

This question aligns with the NEET PHYSICS syllabus, specifically targeting concepts from UNITS AND MEASUREMENTS. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

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