Question

A piece of aluminum has dimensions 3cm*4cm*5.5cm . if the mass is 170g. find its density in (1) CGS (2)MKS system​

Answer 1

Answer

Density = 2.57 g/cm³ [ CGS ]

Density = 2570 kg/m³ [ MKS ]

Given

A piece of aluminum has dimensions 3 cm*4 cm*5.5 cm . Mass of the Aluminium is 170 g

To Find

Density

1 . CGS units

2 . MKS units

Points to be noted

MKS system :

It is a system of units in physical system of measurement that uses meter , kilogram and second as basic units

CGS system :

It's full form is Centimeter-Gram-second system where fundamental units are Centimeter , gram and second.

Density :

It is defined as mass acting per unit volume

MKS unit's of Density is Kg/m³

CGS unit's of Density is g/cm³

Solution

Volume = 66 cm³

Mass  = 170 g

Density = ?

Apply formula ,

$\to \rm Density=\dfrac{Mass}{Volume}\\\\\to \displaystyle \rm \rho=\dfrac{170}{66}\\\\\to \rm \rho =2.57\ g/cm^3\ \; [In\ CGS\ units]$

Since , 1 kg = 1000 g

and 1 m = 100 cm

$\to \rm \rho=2.57\ g/cm^3\\\\\to \rm \rho =2.57\ (10^{-3}kg)/(10^{-2}m)^3\\\\\to \rm \rho=2.57 \times 10^{-3}/10^{-6}\ kg/m^3\\\\\to \rm \rho =2.57\times 10^3\ kg/m^3\\\\\to \rm \rho=2570\ kg/m^3\ [In\ MKS\ units]$

Answer 2

Answer:

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