Which of the following ratios express pressure?

  1. Force/ Area
  2. Energy/ Volume
  3. Energy/ Area
  4. Force/ Volume

Answer (Detailed Solution Below)

Option :

Detailed Solution

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EXPLANATION:

We know that pressure 

1) Force/Area = [MLT-2]/[L2] = [ML-1T-2]

So. the ratio expresses pressure as it has the same dimension as pressure. 

2) Energy/Volume = [ML2T-2]/[L3] = [ML-1T-2]

So. the ratio expresses pressure as it has the same dimension as pressure. 

3) Energy/Area = [ML2T-2]/[L2] = [MT-2]

So, the dimension of this ratio is not the same as pressure. So this ratio is not pressure.

4) Force/Volume = [MLT-2]/[L3] = [ML-2T-2]

So, the dimension of this ratio is not the same as pressure. So this ratio is not pressure.

∴ options (1) and (2) only have the same ratio as pressure. 

So, the correct answer is options (1) and (2).

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