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Given \(\Delta x = \Delta p\), so \((\Delta p)^2 = \dfrac{h}{4\pi}\)
\(\Delta p = \sqrt{\dfrac{h}{4\pi}} = \dfrac{1}{2}\sqrt{\dfrac{h}{\pi}}\)
Since \(\Delta p = m \cdot \Delta v\):
\(\Delta v = \dfrac{\Delta p}{m} = \dfrac{1}{2m}\sqrt{\dfrac{h}{\pi}}\)
What is the perimeter of the rectangle shown below?
The diagonal of the rectangle is 10 and one side is 6.
Using the Pythagorean theorem: $\text{diagonal}^2 = \text{length}^2 + \text{width}^2$
$10^2 = 6^2 + w^2 \Rightarrow 100 = 36 + w^2 \Rightarrow w^2 = 64 \Rightarrow w = 8$
Perimeter $= 2(6 + 8) = 2 \times 14 = 28$.
A company has the following reserves:
- Share premium: $60,000
- Revaluation reserve: $75,000
- General reserve: $10,000
- Retained earnings: $21,500
What is the maximum number of $1 bonus shares the company can issue?
A bonus issue can be made from any reserve, including capital reserves (Share Premium, Revaluation) and revenue reserves (General, Retained). Total = $60,000 + $75,000 + $10,000 + $21,500 = $166,500.
The 'Magna Carta' (1215) is significant in the UK for:
The Magna Carta established the principle that everyone, including the king, is subject to the law.
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