This question was previously asked in

Airforce Group X 12 Jul 2021 Shift 1 Memory Based Paper

Option 3 : Pressure

**CONCEPT:**

- The dimension of a physical quantity: It is the power to which the fundamental units must be raised to represent the physical quantity.
- For example; The dimension of mass is [M1L0T0] and that of length is [M0L1T0].

- Pressure(P): The force (F) per unit area (A) is called pressure.

P = F/A

Acceleration (a) = (v- u)/t

Where v and u are final and initial velocities respectively that have the dimension [M0L1T-1] and t = time that has dimension [M0L0T1].

It multiplies to give a dimensional formula of [M0L1T-2].

Force (F) = ma

The mass and acceleration have the dimensions of [M1L0T0] and [M0L1T-2] respectively, it multiplies to give the dimension of [M1L1T-2].

- Hence, the force has the dimensions of [M1L1T-2].

**EXPLANATION:**

Pressure (P) = F/A

F = force that has the dimension of [M1L1T-2] and A = area that has the dimension of [M0L2T0].

**Dimensions of P = [F]/[A] = [M1L-1T-2].**