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- For $He^{+}$, atomic number $Z = 2$.
- The second excited state corresponds to $n = 3$.
- $E_{3} = -13.6 \times \frac{2^{2}}{3^{2}} = -13.6 \times \frac{4}{9}$
- $E_{3} \approx -6.04 \text{ eV}$
If the arithmetic mean of 5 consecutive integers is 12, what is the sum of the least and greatest of these integers?
For 5 consecutive integers, the mean equals the middle (3rd) integer. So the middle integer is 12.
The 5 integers are: $10, 11, 12, 13, 14$.
The least is 10 and the greatest is 14.
Sum $= 10 + 14 = 24$.
The anatomical features of which group show similarities during embryonic development?
Vertebrates (fish, amphibians, reptiles, birds, mammals) share similar embryonic stages (e.g., pharyngeal pouches, tail, and limb buds) which indicates common ancestry. This is evidence of divergent evolution.
The change in time is given by $\Delta t = \frac{1}{2} \alpha \Delta \theta \times t$.
- $12 = \frac{1}{2} \alpha (40 - \theta) \times 86400$
- $-4 = \frac{1}{2} \alpha (20 - \theta) \times 86400$
- Dividing the equations gives $\theta = 25^{\circ}\text{C}$.
- Substituting $\theta$ back gives $\alpha = 1.85 \times 10^{-5}/^{\circ}\text{C}$.
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