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The French President is elected by:
Since 1962, the President of the French Republic is elected directly by universal suffrage (popular vote).
The graph best representing the variation of acceleration due to gravity $g$ with distance $d$ from Earth's centre (Earth's radius $= R$) shows which behaviour?
The correct behaviour of $g$:
- Inside the Earth ($d < R$): $g = \frac{GM}{R^3}d$ โ linear increase from $g=0$ at centre to $g_{surface}$ at $d=R$.
- Outside the Earth ($d > R$): $g = \frac{GM}{d^2}$ โ decreases as $1/d^2$.
The graph shows a straight line from origin to $(R, g_{max})$, then a smooth $1/d^2$ curve decreasing afterward. This is a linear rise inside and inverse-square fall outside, meeting at a sharp peak at $d = R$.
What is the primary outcome of crossing over during prophase I of meiosis?
Crossing over exchanges genetic material between non-sister chromatids of homologous chromosomes, producing new allele combinations (recombination) and increasing genetic variation.
- Moles of $O_{2} = 3.12 / 32 = 0.0975 \text{ mol}$
- $V = \frac{0.0975 \times 0.0821 \times 300}{1} \approx 2.4 \text{ L}$
- Volume per gram of adsorbent = Total Volume / Mass of Pt
- $2.4 \text{ L} / 1.2 \text{ g} = 2.0 \text{ L/g}$
The velocity of a particle is given by $v = At + Bt^2$, where $A$ and $B$ are constants. The distance travelled between $t = 1\text{ s}$ and $t = 2\text{ s}$ is:
$x = \displaystyle\int_1^2 v\,dt = \int_1^2 (At + Bt^2)\,dt = \left[\dfrac{At^2}{2} + \dfrac{Bt^3}{3}\right]_1^2$
$= \left(\dfrac{4A}{2} + \dfrac{8B}{3}\right) - \left(\dfrac{A}{2} + \dfrac{B}{3}\right) = \mathbf{\dfrac{3A}{2} + \dfrac{7B}{3}}$
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