The density of a material in CGS system of unit 5g cm^3 in a system of unit in which unit of length is 10 cm and unit mass is 100g then the value of density of material will be
Answers
Answer:
In CGS, d = 4\displaystyle\frac{g}{{cm}^{3}}d=4
cm
3
g
If unit of mass is 100 \ g100 g, 4 g mass in new units is \dfrac{4}{100}
100
4
units
and unit of distance is 10 \ cm10 cm, 1 cm in new units is \dfrac{1}{10}
10
1
units
So, density = \displaystyle\frac{4\left(\displaystyle\frac{g}{100}\right)}{{\left(\displaystyle\frac{1}{10}cm\right)}^{3}}=
(
10
1
cm)
3
4(
100
g
)
= \displaystyle\frac{\left(\displaystyle\frac{4}{100}\right)}{{\left(\displaystyle\frac{1}{10}\right)}^{3}} = 40 \ units=
(
10
1
)
3
(
100
4
)
=40 units
Explanation:
In CGS, d = 4\displaystyle\frac{g}{{cm}^{3}}d=4
cm
3
g
If unit of mass is 100 \ g100 g, 4 g mass in new units is \dfrac{4}{100}
100
4
units
and unit of distance is 10 \ cm10 cm, 1 cm in new units is \dfrac{1}{10}
10
1
units
So, density = \displaystyle\frac{4\left(\displaystyle\frac{g}{100}\right)}{{\left(\displaystyle\frac{1}{10}cm\right)}^{3}}=
(
10
1
cm)
3
4(
100
g
)
= \displaystyle\frac{\left(\displaystyle\frac{4}{100}\right)}{{\left(\displaystyle\frac{1}{10}\right)}^{3}} = 40 \ units=
(
10
1
)
3
(
100
4
)
=40 units