Given Compounds:
Step-by-Step Analysis:
1. \( \text{NH}_4^+ \) (Ammonium ion): It has 4 bonding pairs around nitrogen and no lone pairs, which gives it a tetrahedral geometry.
2. \( \text{XeF}_4 \) (Xenon tetrafluoride): It has 4 fluorine atoms and 2 lone pairs on Xenon, giving it a square planar geometry.
3. \( [\text{NiCl}_4]^{2-} \) (Nickel(II) chloride complex): Nickel has 4 chloride atoms and adopts a square planar geometry.
4. \( [\text{PtCl}_4]^{2-} \) (Platinum(II) chloride complex): Platinum in this complex also has 4 chloride ions and adopts a square planar geometry.
5. \( [\text{Cu(NH}_3)_4]^{2+} \) (Copper(II) complex): Copper has 4 ammonia molecules and adopts a square planar geometry.
6. \( \text{BF}_3 \) (Boron trifluoride): It has 3 fluorine atoms and adopts a trigonal planar geometry.
7. \( [{Ni(CO)_4}] \) (Nickel(0) complex): Nickel has 4 carbon monoxide molecules and adopts a tetrahedral geometry.
Summary of Tetrahedral Geometry Compounds:
Answer: Out of the listed compounds, 2 compounds have tetrahedral geometry.

Inductance of a coil with \(10^4\) turns is \(10\,\text{mH}\) and it is connected to a DC source of \(10\,\text{V}\) with internal resistance \(10\,\Omega\). The energy density in the inductor when the current reaches \( \left(\frac{1}{e}\right) \) of its maximum value is \[ \alpha \pi \times \frac{1}{e^2}\ \text{J m}^{-3}. \] The value of \( \alpha \) is _________.
\[ (\mu_0 = 4\pi \times 10^{-7}\ \text{TmA}^{-1}) \]
A small block of mass \(m\) slides down from the top of a frictionless inclined surface, while the inclined plane is moving towards left with constant acceleration \(a_0\). The angle between the inclined plane and ground is \(\theta\) and its base length is \(L\). Assuming that initially the small block is at the top of the inclined plane, the time it takes to reach the lowest point of the inclined plane is _______. 