The physical quantity that does not have the dimensional formula $[ML^{-1}T^{-2}]$ is

Let's analyze each option to check which physical quantity does not have the dimensional formula $\left[M L^{-1} T^{-2}\right]$.

1. Force: The dimensional formula of force is $\left[M L T^{-2}\right]$, which does not match $\left[M L^{-1} T^{-2}\right]$. So, force is not the correct option.

2. Pressure: The dimensional formula of pressure is $\left[M L^{-1} T^{-2}\right]$, which exactly matches the given formula. So, pressure has the required dimensional formula.

3. Stress: Stress is force per unit area, so its dimensional formula is the same as pressure, i.e., [ $M L^{-1} T^{-2}$ ]. So, stress also has the required dimensional formula.

4. Modulus of Elasticity: The modulus of elasticity is stress divided by strain. Since strain is dimensionless, the dimensional formula of the modulus of elasticity is the same as stress, i.e., [ $\left.M L^{-1} T^{-2}\right]$. So, modulus of elasticity has the required dimensional formula.

Conclusion:

The physical quantity that does not have the dimensional formula $\left[M L^{-1} T^{-2}\right]$ is: