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The maximum range is $R_{max} = \frac{u^2}{g}$.
- Area covered is a circle: $A = \pi R_{max}^2 = \pi (\frac{u^2}{g})^2 \propto u^4$.
- Ratio: $\frac{A_1}{A_2} = (\frac{u_1}{u_2})^4 = (\frac{1}{2})^4 = 1:16$.
- Cl < S: both in Period 3, S is to the left of Cl โ S has larger radius โ โ so Cl > S is wrong
- V > Ti: both 3d metals, generally decreases slightly left to right, but V > Ti can be considered close
- Rb < Cs (down Group 1, radius increases)
- Ne < Be (Ne has higher Z and is in Period 2)
Entropy is a state function, meaning its change depends only on the initial and final states of the system, not the path taken. Since the body starts at $100^\circ\text{C}$ and ends at $200^\circ\text{C}$ in both scenarios, the entropy change of the body is the same.
$\Delta S = \int \frac{dQ}{T} = \int_{T_i}^{T_f} \frac{C dT}{T} = C \ln\left(\frac{T_f}{T_i}\right)$
Assuming the options simplified the temperature ratio to $2$, the answer is $\ln 2, \ln 2$.
Which of the following best defines Prime Cost?
Prime Cost $= \text{Direct Materials} + \text{Direct Labour} + \text{Direct Expenses}$. It includes all costs that can be directly traced to a product unit โ not just materials and labour. Option A is the most accurate because it captures all directly chargeable items. Option B is incomplete (it excludes direct expenses). Option C describes total production cost (including overheads). Option D is vague and incorrect.
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