Hello

The dimensional formula of pressure is given by,

M ¹ L ^-1 T ^-2

Where,

• M = Mass
• L = Length
• T = Time

Pressure (P) = Force × Area ^-1 . . . . . (1)

Since, Force = Mass × Acceleration

And, acceleration = velocity × time ^-1 = [L T ^-1 ] [T] ^-1 = [L T ^-2 ]

∴ The dimensional formula of force = [M] × [L T ^-2 ] = Force = M ¹ L ¹ T ^-2 . . . . (2)

The dimensional formula of area = M ⁰ L ² T ⁰ . . . . (3)

On substituting equation (2) and (3) in equation (1) we get,

Pressure (P) = Force × Area ^-1

Or, P = [M ¹ L ¹ T ^-2 ] × [L ² ] ^-1 = M ¹ L ^-1 T ^-2 .

Therefore, the pressure is dimensionally represented as M ¹ L ^-1 T ^-2 .

hope it's help you

All the best