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$E_1 = \frac{GMm}{R_E} - \frac{GMm}{R_E+h} = GMm\frac{h}{R_E(R_E+h)}$
$E_2 = \frac{GMm}{2(R_E+h)}$ (orbital KE)
Setting $E_1 = E_2$:
$\frac{h}{R_E(R_E+h)} = \frac{1}{2(R_E+h)}$
$\frac{h}{R_E} = \frac{1}{2}$
$h = \frac{R_E}{2} = \frac{6.4 \times 10^3}{2} = 3.2 \times 10^3\ \text{km}$
Escape velocity from Earth depends on:
v_esc = √(2GM/R), independent of mass of body and angle.
The unit of equilibrium constant \(K_c\) for \(\mathrm{PCl}_5 \rightleftharpoons \mathrm{PCl}_3 + \mathrm{Cl}_2\) is:
\(\Delta n_g = (1+1)-1 = 1\). \(K_c = \frac{[\mathrm{PCl}_3][\mathrm{Cl}_2]}{[\mathrm{PCl}_5]}\) → units: \((\mathrm{mol}\ \mathrm{dm}^{-3})^2 / (\mathrm{mol}\ \mathrm{dm}^{-3}) = \mathrm{mol}\ \mathrm{dm}^{-3} = \mathrm{dm}^3/\mathrm{mol}\).
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 — 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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