Choose the INCORRECT dimensions:
Step 1: The speed of light does not have dimensions of mass or length squared. It is dimensionless with respect to mass and length.
Step 2: Option (C) incorrectly states the dimensions of the speed of light.
Step 3: The correct dimensions of the speed of light should be \( L T^{-1} \).
Hence, (C) is incorrect.
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:
Match List-I with List-II.
Choose the correct answer from the options given below :
The expression given below shows the variation of velocity \( v \) with time \( t \): \[ v = \frac{At^2 + Bt}{C + t} \] The dimension of \( A \), \( B \), and \( C \) is: