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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 \( K \) the thermal conductivity of the material of the wire. Taking \( M, L, T, I \) and \( K \) as dimensions of mass length, time, current and temperature, respectively, the dimensional formula of the quantity \( Z = \dfrac{S^{2}\sigma}{K} \) is:

Length, breadth and thickness of a strip having a uniform cross section are measured to be \( 10.5 \, \text{cm} \), \( 0.05 \, \text{mm} \), and \( 6.0 \, \mu\text{m} \), respectively. Which of the following option(s) give(s) the volume of the strip in \( \text{cm}^3 \) with correct significant figures:

A physical quantity \( \vec{S} \) is defined as \( \vec{S} =( \vec{E} \times \vec{B}) / \mu_{0} \), where \( \vec{E} \) is electric field, \( \vec{B} \) is magnetic field and \( \mu_{0} \) is the permeability of free space. The dimension of \( \vec{S} \) are the same as the dimensions of which of the following quantity(ies)?