Which of the following represent physical quantities represent the dimensional formula M1L-2T-2?

A
Energy/Area
B
Pressure
C
Force length
D
Pressure per unit length

Solution:

$D i m e n s i o n o f e n e r g y / a r e a - [E n e r g y / A r e a] = [\frac{M L^{2} T^{- 2}}{L^{2}}] = [M L^{- 2}] D i m e n s i o n & p r e s s u r e - [P r e s s u r e] = [F o r c e / A r e a] = [\frac{M L T^{- 2}}{L^{2}}] = [M L^{- 1} T^{- 2}] D i m e n s i o n o f f o r c e l e n g t h s - [F o r c e l e n g t h] = [M L T^{- 2} L] = [M^{1} L^{2} T^{- 2}] D i m e n s i o n s o f d p r e s s u r e p e r u n i t l e n g t h - [P r e s s u r e p e r u n i t l e n g t h] = [\frac{p r e s s s u r e}{l e n g t h}] = [\frac{M L^{- 1} T^{- 2}}{L}] [M^{1} L^{- 2} T^{- 2}]$

Which of the following represent physical quantities represent the dimensional formula $[M^{1} L^{- 2} T^{- 2}] ?$

Solution:

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