• # question_answer The dimensions of specific heat are A) $ML{{T}^{-2}}{{K}^{-1}}$                   B) $M{{L}^{2}}{{T}^{-2}}{{K}^{-1}}$ C)      ${{M}^{0}}{{L}^{2}}{{T}^{-2}}{{K}^{-1}}$       D)      ${{M}^{0}}L{{T}^{-2}}{{K}^{-1}}$

The heat energy constant H of a body of mass m at temperature $\theta$ is given by $H=ms\theta$ where s is the specific heat. Therefore $s=\frac{H}{m\theta }$ $\therefore$ Dimensions of, $s=\frac{\text{dimensions}\,\text{of}\,\text{heat}\,\text{energy}}{\text{dimension}\,\text{of}\,\text{mass}\,\text{xdimenstion}\,\text{of}\,\text{temperature}}$ $=-\frac{M{{L}^{2}}{{T}^{-2}}}{M\times K}={{M}^{o}}{{L}^{2}}{{T}^{-2}}{{K}^{-1}}$ Hence, the correction option is (c).