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.
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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.
Young’s modulus is defined as the ratio of longitudinal stress t...
Force per Area..So Dyn per cm2
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