Which of the following ratios express pressure?

a) Force/area

b) Energy/volume

c) Energy/area

d) Force/volume

Answers (1)

The answer is the option (a) Force/Area and (d) Force/Volume

Explanation: Let us start with calculating the dimension of pressure,

We know that Pressure(P) =\frac{F}{A}

                                           = \frac{[MLT^{-2}]}{[L^{2}]}

..... this also verifies the opt (a).

Now let us compare it with other options-

(b)\frac{E}{V}=\frac{[ML^{2}T^{-2}]}{[L^{3}]}

             =[ML^{-1}T^{-2}]

               = Dimesions of P

Thus, opt (b) is verified as well.

(c)\frac{E}{A}=\frac{[ML^{2}T^{-2}]}{[L^{3}]}

            =[ML^{0}T^{-2}]    ...............viz., not equal to Dimensions of P

(d)\frac{F}{V}=\frac{[MLT^{-2}]}{[L^{3}]}

              =[ML^{-2}T^{-2}]         .................viz., again not equal to dimensions of P

Thus, opt (c) & (d) are discarded.

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