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The density of material in CGS system of units is 4g/cm3. In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will be [2011M]
  • a)
    0.4
  • b)
    40
  • c)
    400
  • d)
    0.04
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The density of material in CGS system of units is 4g/cm3. In a system ...
In CGS system,
The unit of mass is 100g and unit of length is 10 cm, so
density = 
= 40 unit
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The density of material in CGS system of units is 4g/cm3. In a system ...
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Community Answer
The density of material in CGS system of units is 4g/cm3. In a system ...
Given:
Density in CGS system = 4 g/cm³

We need to find the value of density in a system where the unit of length is 10 cm and the unit of mass is 100 g.

Let's convert the given density into the new system:

Density in CGS system = 4 g/cm³

Now, let's convert the mass unit to the new system:

1 g = 100/100 g (since the mass unit in the new system is 100 g)
1 g = 1 g

So, the mass unit remains the same in the new system.

Next, let's convert the length unit to the new system:

1 cm = 10/10 cm (since the length unit in the new system is 10 cm)
1 cm = 1 cm

So, the length unit remains the same in the new system.

Now, let's calculate the density in the new system:

Density in the new system = (Density in CGS system) x (Conversion factor for mass) / (Conversion factor for length)

Density in the new system = (4 g/cm³) x (1 g/100 g) / (1 cm/10 cm)

Simplifying,

Density in the new system = (4/100) g/cm³ x 10/1 cm/10 cm

Density in the new system = (4/100) g/cm³ x 10/1

Density in the new system = 4 g/cm³ x 10/1

Density in the new system = 40 g/cm³

Therefore, the value of density in the new system is 40 g/cm³.

Hence, the correct answer is option B) 40.
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The density of material in CGS system of units is 4g/cm3. In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will be [2011M]a)0.4b)40c)400d)0.04Correct answer is option 'B'. Can you explain this answer?
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