Which of the following is not a unit of Young's modulus? (A) Nm^-1 (B) Nm^-2 (C) Dyne cm^-2 (D)

step 1 In this question we will learn about some basic concept of the units and measurement. The questi

Which of the following is not a unit of Young's modulus? (A)...

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Key Concepts

SI Derived Units

SI derived units combine fundamental units to express physical quantities. For Young's modulus, the correct SI derived unit is the Pascal (Pa), which is equivalent to one Newton per square meter (N/m²). Understanding these conversions and relationships ensures that only proper units representing force per unit area are accepted.

Young's Modulus

Young's modulus is a measure of a material's stiffness and is defined as the ratio of stress (force per unit area) to strain (relative deformation). It reflects how much a material will deform under applied stress, and its unit must represent force per unit area.

Stress and Strain

Stress is defined as force per unit area while strain measures the deformation of a material. The ratio of stress to strain (provided the deformation is in the elastic region) gives Young's modulus, making the appropriate units those of pressure, typically Pascals in the SI system.

Dimensional Analysis

Dimensional analysis involves checking the consistency of units in physical equations. Since Young's modulus has dimensions of pressure, the correct units should be equivalent to force divided by area. This analysis is crucial in verifying that units like Pascals (or equivalent forms such as N/m²) are used, and that any unit lacking the area component, such as N/m, is incorrect.

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