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Heat and Thermodynamics question

2021 · 20 Jul · Shift 1 · Q59
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  5. /2021 · 20 Jul · Shift 1 · Q59

Heat and Thermodynamics question

2021 · 20 Jul · Shift 1 · Q59

JEE MainPhysicsHeat and ThermodynamicsMCQ+4 / −1
The entropy of any system is given by S=α2βln⁡[μkRJβ2+3]S = {\alpha ^2}\beta \ln \left[ {{{\mu kR} \over {J{\beta ^2}}} + 3} \right]S=α2βln[Jβ2μkR​+3] where α\alphaα and β\betaβ are the constants. μ\muμ, J, k and R are no. of moles, mechanical equivalent of heat, Boltzmann constant and gas constant respectively. [Take S=dQTS = {{dQ} \over T}S=TdQ​] Choose the incorrect option from the following :
  1. A
    α\alphaα and J have the same dimensions.
  2. B
    S and α\alphaα have different dimensions
  3. C
    S, β\betaβ, k and μ\muμ R have the same dimensions
  4. D
    α\alphaα and k have the same dimensions
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