Given below are two statements :
Statement (I) : Dimensions of specific heat is [L²T⁻²K⁻¹]
Statement (II) : Dimensions of gas constant is [ML²T⁻¹K⁻¹]
Choose the correct answer from the options given below :

Question

Given below are two statements :

Statement (I) : Dimensions of specific heat is [L²T⁻²K⁻¹]

Statement (II) : Dimensions of gas constant is [ML²T⁻¹K⁻¹]

Choose the correct answer from the options given below :

G1 Physics · Accepted Answer

Specific heat: Q = mSΔT Therefore: [S] = [Q/(mΔT)] = [ML²T⁻²]/[MK] = [L²T⁻²K⁻¹] Hence Statement I is correct. For gas constant: PV = nRT Therefore: [R] = [PV/(nT)] = [ML²T⁻² mol⁻¹ K⁻¹] Statement II gives T⁻¹ instead of T⁻², so it is incorrect. Hence Option C is correct.