The physical quantity which has the dimensional formula $M^{1} T^{- 3}$ is:

surface tension

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solar constant

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density

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compressibility

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Solution

The correct option is B solar constant
Surface tension $\to \frac{F}{l} = \frac{M L T^{- 2}}{L} = M T^{- 2}$

Solar constant $= M T^{- 3}$
Density $= \frac{M a s s}{V o l} = M L^{- 3}$
Compressibillity $= \frac{1}{B u l k M o d u l u s} = \frac{\frac{d v}{v}}{d p} = \frac{L^{3} / L^{3}}{M L^{- 1} T^{- 2}} = M^{- 1} L^{1} T^{2}$
Hence, option B is correct.

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