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Assertion (A): Thermal diffusivity is a dimension less quantity.
Reason (R): In M-L-T-Q system the dimensions of thermal diffusivityare [L2T-1]          
  • a)
    Both A and R are individually true and R is the correct explanation of A
  • b)
    Both A and R are individually true but R is not the correct explanation of A
  • c)
    A is true but R is false
  • d)
    A is false but R is true
Correct answer is option 'D'. Can you explain this answer?
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Assertion (A): Thermal diffusivity is a dimension less quantity.Reason...
Ans. (d)
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Assertion (A): Thermal diffusivity is a dimension less quantity.Reason...
Thermal Diffusivity as a Dimensionless Quantity:

• Thermal diffusivity is defined as the ratio of thermal conductivity to heat capacity per unit volume of a material.

• It is used to characterize the ability of a material to conduct heat relative to its ability to store heat.

• The dimensional formula of thermal diffusivity is [L2T-1] in the M-L-T-Q system.

• Therefore, thermal diffusivity is not a dimensionless quantity.

The Reasoning behind the Assertion:

• The statement in the assertion is false because thermal diffusivity is not a dimensionless quantity.

• The dimensions of thermal diffusivity in the M-L-T-Q system are [L2T-1], which means that it has dimensions of length squared divided by time.

• Therefore, the reasoning provided in the reason is incorrect, which makes option D the correct answer.

Conclusion:

• Thermal diffusivity is a dimensional quantity with dimensions of length squared divided by time.

• The assertion is false, and the reason provided is incorrect.
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Assertion (A): Thermal diffusivity is a dimension less quantity.Reason...
Yes all three options are correct except first. * shear force is slope of BMD dM/dx = v (SF). ---------------> @ * load intensity is slope of SFD dV/dx= w (load intensity) * w= dV/dx w= d^2 M/dx^2. using value of V from eq. @ But the first option isn't true
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Assertion (A): Thermal diffusivity is a dimension less quantity.Reason (R): In M-L-T-Q system the dimensions of thermal diffusivityare [L2T-1] a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer?
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