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Density of wood is 0.5 g//c c in the CGS...

Density of wood is `0.5 g//c c` in the CGS system of units. The corresponding value in MKS units is

A

500

B

5

C

0.5

D

5000

Text Solution

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The correct Answer is:
To convert the density of wood from CGS units to MKS units, we need to follow these steps: 1. **Understand the given density in CGS units:** - Density (ρ) in CGS units is given as \(0.5 \, \text{g/cm}^3\). 2. **Convert grams to kilograms:** - \(1 \, \text{g} = 10^{-3} \, \text{kg}\). - Therefore, \(0.5 \, \text{g} = 0.5 \times 10^{-3} \, \text{kg}\). 3. **Convert cubic centimeters to cubic meters:** - \(1 \, \text{cm}^3 = 10^{-6} \, \text{m}^3\). - Therefore, \(1 \, \text{cm}^3 = 10^{-6} \, \text{m}^3\). 4. **Calculate the density in MKS units:** - Density in MKS units (ρ) = \(\frac{0.5 \times 10^{-3} \, \text{kg}}{10^{-6} \, \text{m}^3}\). - Simplifying this, we get: \[ \rho = \frac{0.5 \times 10^{-3}}{10^{-6}} \, \text{kg/m}^3 = 0.5 \times 10^{3} \, \text{kg/m}^3 = 500 \, \text{kg/m}^3 \] So, the corresponding value of the density of wood in MKS units is \(500 \, \text{kg/m}^3\).

To convert the density of wood from CGS units to MKS units, we need to follow these steps: 1. **Understand the given density in CGS units:** - Density (ρ) in CGS units is given as \(0.5 \, \text{g/cm}^3\). 2. **Convert grams to kilograms:** - \(1 \, \text{g} = 10^{-3} \, \text{kg}\). - Therefore, \(0.5 \, \text{g} = 0.5 \times 10^{-3} \, \text{kg}\). ...
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Knowledge Check

  • In CGS system, the unit of force is

    A
    newton
    B
    pascal
    C
    dyne
    D
    metre
  • In MKS system of units epsilon_(0) equals -

    A
    `9xx10^(9) N-m^(2)//C^(2)`
    B
    `(1)/(9xx10^(9)) C^(2)//N -m^(2)`
    C
    `(1)/(4pi xx 9 xx 10^(9)) C^(2)//N-m^(2)`
    D
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  • The density of glass is "2.8 gram"//"cc" in CGS system. The value of density in SI unit is

    A
    `2.8xx10^(-3)`
    B
    `2.8xx10^(-2)`
    C
    `2.8xx10^(2)`
    D
    `2.8xx10^(6)`
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