An athletic coach told his team that muscle times speed equals power. What dimensions does he view for muscle?

  • A
    $MLT^{-2}$
  • B
    $ML^2T^{-2}$
  • C
    $MLT^2$
  • D
    $L$

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$A$ temperature difference can generate $e.m.f.$ in some materials. Let $S$ be the $e.m.f.$ produced per unit temperature difference between the ends of a wire,$\sigma$ the electrical conductivity and $\kappa$ the thermal conductivity of the material of the wire. Taking $\text{M, L, T, I}$ and $K$ as dimensions of mass,length,time,current and temperature,respectively,the dimensional formula of the quantity $Z=\frac{S^2 \sigma}{\kappa}$ is :-

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