An equation is given here: (P+a/(V²))=bθ/V, where P is pressure, V is volume and θ is absolute temperature. If a and b are constants, the dimensions of a will be

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(3) [ML⁵T⁻²]. Idea: a quantity can only be added to a pressure if it is itself a pressure. [a/(V²)]=[P] [a]=[P][V²] [P]=[ML⁻¹T⁻²] and [V²]=[L⁶] [a]=[ML⁻¹T⁻²][L⁶] [a]=[ML⁵T⁻²]

An equation is given here: (P+a/(V²))=bθ/V, where P is pressure, V is volume and θ is absolute temperature. If a and b are constants, the dimensions of a will be

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Why the other options are wrong