The physical quantity that has the same dimensional formula as pressure is:

Let's find the dimensional formulae of the given physical quantities:

1. Pressure: Pressure is defined as force per unit area. Dimensions of Force = $[MLT^{-2}]$ Dimensions of Area = $[L^2]$ Therefore, Dimensional formula of Pressure = $\frac{[MLT^{-2}]}{[L^2]} = [ML^{-1}T^{-2}]$

2. Force: Its dimensional formula is $[MLT^{-2}]$.

3. Momentum: It is the product of mass and velocity. Dimensional formula of Momentum = $[M][LT^{-1}] = [MLT^{-1}]$.

4. Young's modulus of elasticity: It is defined as the ratio of tensile (or compressive) stress to the longitudinal strain. Stress = Force / Area, so its dimensions are same as pressure, i.e., $[ML^{-1}T^{-2}]$. Strain = Change in length / Original length, which is dimensionless $[M^0L^0T^0]$. Therefore, Dimensional formula of Young's modulus = $\frac{[ML^{-1}T^{-2}]}{[M^0L^0T^0]} = [ML^{-1}T^{-2}]$.

5. Coefficient of viscosity: Its dimensional formula is $[ML^{-1}T^{-1}]$.

From the above, we can see that the dimensional formula of Young's modulus of elasticity is the same as that of pressure.