Question
Download Solution PDFWhich of the following has dimension equal to pressure:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- Dimensions: Dimensions of a physical quantity are the powers to which the fundamental units are raised to obtain one unit of that quantity.
CALCULATION:
The dimension of pressure is given as,
⇒ [P] = [M1 L-1 T-2] -----(1)
- The dimension of energy is given as,
⇒ [E] = [M1 L2 T-2] -----(2)
- The dimension of the area is given as,
⇒ [A] = [M0 L2 T] -----(3)
- The dimension of the volume is given as,
⇒ [V] = [M0 L3 T] -----(4)
| [Energy/Area] | [Energy/Volume] | [Energy×Area] | [Energy×Volume] |
| [M1 L0 T-2] | [M1 L-1 T-2] | [M1 L4 T-2] | [M1 L5 T-2] |
- From the above table, it is clear that the dimension of energy/volume is equal to the pressure.
- Hence, option 2 is correct.
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