Among the given molecules:
Polar molecules with non-zero dipole moment (\(\mu \neq 0\)): NF\(_3\), H\(_2\)O, H\(_2\)S, HBr, HCl.
Non-polar molecules with zero dipole moment (\(\mu = 0\)): BeCl\(_2\), BCl\(_3\), XeF\(_4\), CCl\(_4\), CO\(_2\), H\(_2\).
Which of the following molecules has "NON ZERO" dipole moment value?
Let \( S = \left\{ m \in \mathbb{Z} : A^m + A^m = 3I - A^{-6} \right\} \), where
\[ A = \begin{bmatrix} 2 & -1 \\ 1 & 0 \end{bmatrix} \]Then \( n(S) \) is equal to ______.
Let \( T_r \) be the \( r^{\text{th}} \) term of an A.P. If for some \( m \), \( T_m = \dfrac{1}{25} \), \( T_{25} = \dfrac{1}{20} \), and \( \displaystyle\sum_{r=1}^{25} T_r = 13 \), then \( 5m \displaystyle\sum_{r=m}^{2m} T_r \) is equal to: