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Momentum = MV = 5 x 10 = 50

S = U\(\sqrt{\frac{2h}{g}}\) = 15\(\sqrt{\frac{2 \times 1.5}{10}}\) = 8.22m

In an ideal gas, molecules do not move at constant speed between collisions. Their speeds vary due to elastic collisions with other molecules and the walls of the container. The other assumptions—identical molecules, free movement throughout the container, and negligible forces of attraction—are valid for an ideal gas.

t = \(\frac{fs}{p} = \frac{20 \times 500}{0.4 \times 1000} = 25s\)

No expanded working has been attached for this question yet. The verified answer is Option B.

No expanded working has been attached for this question yet. The verified answer is Option C.

Q = \(\Delta MC^2\) = 2 x 10-27(3 x 10)2 = 1.8 x 10-10J

Rate of diffusion is inversely proportional to the square root of density - Graham's law \( P \propto \frac{1}{v} \) at constant temperature - Boyle's law \( P \propto T \) at constant volume - Pressure law \( P \propto T \) at constant pressure - Charles law therefore no correct option

Power in Series Arrangement Total Resistance (R_series): R\(_{series}\) = R\(_1\) + R\(_2\) = 5\Omega + 10\Omega = 15\Omega Total Power (P_series): P = \(\frac{V^2}{\text{R}}\) = \(\frac{24^2}{15}\) = 38.4W Power in parallel Arrangement Total Resistance(R\(_{parallel}\)): R\(_{parallel}\) = \(\frac{R_1 \times R_2}{R_1 + R_2}\) = \(\frac{5 \times 10}{5 + 10}\) = 3.33 Total Power(P_{parallel}\): P = \(\frac{V^2}{\text{R}}\) = \(\frac{24^2}{3.33}\) = 172.8W Ratio of Powers Power ratio = \(\frac{\text{Pseries}}{\text{Pparallel}}\) = \(\frac{38.4}{172.8}\) = \(\frac{1}{4.5}\) = \(\frac{2}{9}\) Therefore, there is no correct answer.

(a) Diffusion is a process whereby fluids mix intimately with one another due to random molecular motion. (b) Diffusion rate in gases is higher than that in liquids at the same temperature because molecular motion in gases are faster, the intermolecular forces is less and the density is also less than those in liquids.

(a) In plane polarized light the vibrations of light waves are perpendicular in one plane only while in ordinary light the vibrations of the particles are in all planes. (b) Two uses of polaroids are: - in sunglass to reduce sunlight intensity - to eliminate reflected light or glare - in the measurement of sugar solution concentration or saccharimetry; and - in photo elasticity or stress analysis.

(a) The force causing a shrink is the upthrust of the water. (b) Work done = \(\frac{1}{2}ke^2\) = \(\frac{1}{2}(2 \times 10^{11}) \times (2 \times 10^{-2})^2\) = 4.0 x 10\(^7\)

In the case of water in axarrow glass tube, the force of adhesion between the water and glass molecules is greater than the cohesive force among water molecule, hence, water clings to the glass tube forming a concave meniscus. In the case of mercury, the cohesive force among its molecules is greater than the adhesive force, between mercury molecules and water molecules hence mercury molecules cling to each other forming a convex meniscus in the capillary glass tube.

E = eV= 1.6 x 10\(^{-19}\) x 1.0 x 10\(^5\) =1.6 x 10\(^{-14}\)J

\(\Delta E \geq \frac{h}{2 \pi} \times \frac{1}{\Delta t}\) \(\geq 1.054 \times 10^{-37} \times \frac{1}{2 \times 10^{-9}}\) \(\geq 5.27 \times 10^{-28}\)J