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The entropy of any system is given by:

When α and β are the constants,μ , J, K and R are number of moles, mechanical equivalent of heat, Boltzmann constant and gas constant, respectively. [Take S = dQ/T ]
Choose the incorrect option from the following.
  • a)
    S, β, k and μR have the same dimensions.
  • b)
    α and J have the same dimensions.
  • c)
    S and α have different dimensions.
  • d)
    α and k have the same dimensions.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The entropy of any system is given by:When αand βare the co...
Entropy of the system is given by:

∵ Dimensions of Q = [ML2T-2]
Dimensions of T = [K]
Boltzman constant, k = energy / T
[∵ Dimensions of Energy = [ML2T-2]

From Eqs. (ii) and (iii), we can write,

∵ 
and mechanical equivalent of heat

Using Eqs. (i), we can write,

So, from Eqs. (iii) and (viii), we can say that α and k have different dimensions.
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The entropy of any system is given by:When αand βare the constants,μ , J, K and R are number of moles, mechanical equivalent of heat, Boltzmann constant and gas constant, respectively. [Take S = dQ/T ]Choose the incorrect option from the following.a)S, β, k and μR have the same dimensions.b)α and J have the same dimensions.c)S and αhave different dimensions.d)αand k have the same dimensions.Correct answer is option 'D'. Can you explain this answer?
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The entropy of any system is given by:When αand βare the constants,μ , J, K and R are number of moles, mechanical equivalent of heat, Boltzmann constant and gas constant, respectively. [Take S = dQ/T ]Choose the incorrect option from the following.a)S, β, k and μR have the same dimensions.b)α and J have the same dimensions.c)S and αhave different dimensions.d)αand k have the same dimensions.Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The entropy of any system is given by:When αand βare the constants,μ , J, K and R are number of moles, mechanical equivalent of heat, Boltzmann constant and gas constant, respectively. [Take S = dQ/T ]Choose the incorrect option from the following.a)S, β, k and μR have the same dimensions.b)α and J have the same dimensions.c)S and αhave different dimensions.d)αand k have the same dimensions.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The entropy of any system is given by:When αand βare the constants,μ , J, K and R are number of moles, mechanical equivalent of heat, Boltzmann constant and gas constant, respectively. [Take S = dQ/T ]Choose the incorrect option from the following.a)S, β, k and μR have the same dimensions.b)α and J have the same dimensions.c)S and αhave different dimensions.d)αand k have the same dimensions.Correct answer is option 'D'. Can you explain this answer?.
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