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 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 [JEE Adv 2025 P2]

Correct Answer is : [M0L0T0I0K−1]

Units and Measurements

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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, σ the electrical conductivity and κ 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=‌

S2σ

[JEE Adv 2025 P2]

[M0L0T0I0K0]
[M0L0T0I0K−1]
[M1L2T−2I−1K−1]
[M1L2T−4I−1K−1]

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