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Question

The dimensional formula for the bulk modulus of elasticity is _______.


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Solution

  1. Bulk modulus of elasticity: It is defined as the ratio of volumetric stress to the volumetric strain of a specific material, while the material deformation is within the elastic limit.
  2. It is denoted by the symbol K.
  3. Mathematically, it is written as: K=VolumetricStressVolumetricStrain
  4. Calculation for the dimensional formula for the bulk modulus of elasticity:
    K=VolumetricStressVolumetricStrain=PVV
    The dimensional formula of P is [ML-1T-2].
    [K]=[ML-1T-2][L3][L3][K]=[ML-1T-2]

Thus, the dimensional formula for the bulk modulus of elasticity is [ML-1T-2].


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