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Chapter 1: Q36. (page 19)

What are the dimensions of density, which is mass per volume?

Short Answer

Expert verified

The dimension of density is M1鈥�L-3鈥�T0.

Step by step solution

01

Step 1. Pointing out the definition of density

You have already studied that density is the amount of mass per unit volume.

Given data:

蚁=MV

where 蚁is the density, M is the mass, and V is the volume.

02

Step 2. Determining the dimensional formula for different quantities

You know that the unit of mass is kg, and the unit of volume is m3. Thus, the unit of density will be kg路m-3.

Similarly, the dimensional formula for mass is, localid="1654696905824" mass=M1.

The dimensional formula for volume is, localid="1654696917042" Volume=L3.

03

Step 3. Determining the dimensional formula of the density

The dimensional formula for density is:

Density=MassVolume=M1L3=M1L-3T0

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