Given below are two statements : Statement (I) : Dimensions of specific heat is [L^2T^-2K^-1] Statement (II) : Dimensions of gas constant is [M L^2T^-1K^-1] (1) Statement (I) is incorrect but statement (II) is correct (2) Both statement (I) and statement (II) are incorrect (3) Statement (I

Question

Given below are two statements : Statement (I) : Dimensions of specific heat is [L^2T^-2K^-1] Statement (II) : Dimensions of gas constant is [M L^2T^-1K^-1] (1) Statement (I) is incorrect but statement (II) is correct (2) Both statement (I) and statement (II) are incorrect (3) Statement (I) is correct but statement (II) is incorrect (4) Both statement (I) and statement (II) are correct

Accepted Answer

Statement (I) is correct but statement (II) is incorrect. Specific heat has the correct dimensions of [L^2T^-2K^-1], reflecting its dependence on energy per unit mass per degree temperature change. However, the gas constant's dimensions should be [M L^2 T^-2 K^-1], indicating that statement (II) is incorrect.

Solution

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