ML2T-2 is the dimensional formula for A. moment of inertia B. pressure C. elasticity D. couple acting on a body

moment of inertia
pressure
elasticity
couple acting on a body

The correct answer is: A. moment of inertia

Moment of inertia is a measure of the resistance of an object to changes in its rotation. It is a property of an object’s mass and shape, and it is calculated using the following formula:

$I = mr^2$

where $I$ is the moment of inertia, $m$ is the mass of the object, and $r$ is the radius of the object’s rotation.

The dimensional formula for moment of inertia is $ML^2$. This can be seen from the formula above, where $m$ has the dimension of mass, $r$ has the dimension of length, and $I$ has the dimension of mass times length squared.

The other options are incorrect because they do not have the dimensional formula of $ML^2$.

  • Option B, pressure, is a measure of the force exerted per unit area. It has the dimensional formula of $ML^{-1}T^{-2}$.
  • Option C, elasticity, is a measure of the ability of a material to return to its original shape after being deformed. It does not have a specific dimensional formula, as it depends on the type of material and the type of deformation.
  • Option D, couple acting on a body, is a pair of equal and opposite forces that act on a body at different points. It does not have a specific dimensional formula, as it depends on the magnitude of the forces and the distance between the points of application.
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