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Young’s modulus is defined as the ratio of longitudinal stress to longitudinal strain. Which of the following is the unit of Young’s modulus?
  • a)
    dyne per square cm.
  • b)
    dyne cm2
  • c)
    dyne/cm
  • d)
    dyne cm
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
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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Most Upvoted Answer
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.
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Community Answer
Young’s modulus is defined as the ratio of longitudinal stress t...
Force per Area..So Dyn per cm2
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Young’s modulus is defined as the ratio of longitudinal stress to longitudinal strain. Which of the following is the unit of Young’s modulus?a)dyne per square cm.b)dyne cm2c)dyne/cmd)dyne cmCorrect answer is option 'A'. Can you explain this answer?
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