Find dimensions of Specific Heat Capacity c

Specific Heat Capacity c is defined as quantity of heat absorbed per unit mass of material when its temperature increases 1 K.

It’s formula is
Q = mcΔT
Where
Q = Heat Absorbed
m = Mass of substance
c = Specific Heat Capacity
ΔT = Change in temperature

⇒ c = Q/mΔT

Thus
[c] = [Q]/[m][ΔT] = [Q][m]-1[ΔT]-1

[c] = [Q][m]-1[ΔT]-1

[Q] = [ML2T-2]
[m] = [M]
[ΔT] = [K]

[c] = [ML2T-2][M]-1[K]-1 = [M0L2T-2K-1]

Thus dimensions of Specific Heat Capacity c are [M0L2T-2K-1]

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