Match List - I with List - II.
| List - I | List - II |
|---|---|
| (A) Latent Heat | (I) \( M^0 L^2 T^{-2} \) |
| (B) Electromotive Force | (II) \( M L^2 T^{-3} A^{-1} \) |
| (C) Electrical Resistivity | (III) \( M L^3 T^{-3} A^{-2} \) |
| (D) Angular Impulse | (IV) \( M L^2 T^{-1} \) |
Choose the correct answer from the options given below:
Match the LIST-I with LIST-II: 
Choose the correct answer from the options given below:
Match the LIST-I with LIST-II 
Choose the correct answer from the options given below:
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:
Let \( ABC \) be a triangle. Consider four points \( p_1, p_2, p_3, p_4 \) on the side \( AB \), five points \( p_5, p_6, p_7, p_8, p_9 \) on the side \( BC \), and four points \( p_{10}, p_{11}, p_{12}, p_{13} \) on the side \( AC \). None of these points is a vertex of the triangle \( ABC \). Then the total number of pentagons that can be formed by taking all the vertices from the points \( p_1, p_2, \ldots, p_{13} \) is ___________.
Consider the following two reactions A and B: 
The numerical value of [molar mass of $x$ + molar mass of $y$] is ___.
Consider an A.P. $a_1,a_2,\ldots,a_n$; $a_1>0$. If $a_2-a_1=-\dfrac{3}{4}$, $a_n=\dfrac{1}{4}a_1$, and \[ \sum_{i=1}^{n} a_i=\frac{525}{2}, \] then $\sum_{i=1}^{17} a_i$ is equal to