Young’s modulus is defined as the ratio of longitudinal stress t...
Stress = Force per area and strain is unit less.
Therefore in CGS units dyne per cm square.
Hence A is correct.
Young’s modulus is defined as the ratio of longitudinal stress t...
Young's modulus is a measure of the stiffness of a material. It is defined as the ratio of longitudinal stress to longitudinal strain. Young's modulus is denoted by the symbol E and is given by the equation:
E = (Longitudinal stress) / (Longitudinal strain)
The unit of Young's modulus can be determined by examining the formula:
E = (Force/Area) / (Change in length/Original length)
Simplifying the equation, we have:
E = (Force * Original length) / (Area * Change in length)
The unit of force is newton (N), the unit of length is meter (m), and the unit of area is square meter (m^2). Therefore, substituting the units into the equation:
E = (N * m) / (m^2 * m)
Simplifying further, we have:
E = N / m^2
Thus, the unit of Young's modulus is newtons per square meter (N/m^2), which is also known as pascal (Pa).
However, in some cases, a different unit is used for Young's modulus. The unit dyne per square centimeter (dyn/cm^2) is also commonly used.
To convert pascal to dyne per square centimeter, we use the following conversion factor:
1 N/m^2 = 10 dyne/cm^2
Therefore, the unit of Young's modulus can be expressed as either pascal (Pa) or dyne per square centimeter (dyn/cm^2).
Among the given options, option A, "dyne per square cm," is the correct unit of Young's modulus.