Engineering
Physics
Physical Quantities
Question

What is the dimensional formula of ab–1 in the equation P+aV2(Vb)=RT, where letters have their usual meaning.

[M–1L5T3]

[M6L7T4]

[ML2T–2]

[M0L3T–2]

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Solution

[P]=aV2

M1L1T2=aL6

a = [M1L5T–2] and [V] = [b] = [L3]

ab=M1L5T2L3=M1L2T2