Question

The dimension ML⁰T^-2 may correspond to:
1. Stiffness
2. dynamic viscosity
3. Momentum
4. pressure

Answer 1

Correct Answer - Option 1 : Stiffness

Concept:

Stiffness is the extent to which an object resists deformation in response to an applied force.

The complementary concept is flexibility or pliability: the more flexible an object is, the less stiff it is.

The stiffness k, of a body is a measure of the resistance offered by an elastic body to deformation.

For an elastic body with a single degree of freedom (DOF) (for example, stretching or compression of a rod), the stiffness is defined as

k = F / δ

F is the force on the body

δ is the displacement produced by the force along the same degree of freedom (for instance, the change in length of a stretched spring)

Stiffness is typically measured in newtons per meter (N/m)

Stiffness dimension is [MLT^-2] / [L] = [ML⁰T^-2]

 

Important Points:

Quantities	Dimension
Dynamic viscosity	M1 L-1 T-1
Kinematic viscosity	L2 T−1
Magnetic Flux	ML2 T2 I
Magnetic field	MT-2 I-1
Power	ML2 T-3
Torque	ML2 T-2
Work	ML2 T-2
Pressure	ML-1 T-2
Force	ML1 T-2
Surface Tension	M1 L0 T-2
Momentum	M1L1T-1
Angular momentum	M L2 T-1