**Deduce the dimensional formula for workdone,pressure and density.** [posted by boineelo ]

Answer:

**workdone**

We know that workdone = force x distance

Therefore [work done] = [force] [distance]

but force = ma

[force]=[m][a]

[a]=[velocity]/[t]

[velocity]=[displacement]/[t]

So, putting all these together

[work done]=[m][distance][distance]/[time][time]

**[work done]=ML ^{2}T^{-2}**

Similarly, you can work out the dimensional formula for pressure and density as

**[pressure]=[force]/[area]=ML ^{-1}T^{-2}**

**[density]=[mass]/[volume]=ML ^{-3}**

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