Question Library

Upthrust(Force) = volume of object x density of liquid x g = V x \(\rho\) x g U = 4.2 x 10\(^{-4}\) x 1028 x 10 \(\approxeq\) 4.3N

Stress = \(\frac{force}{area}\) Force = weight = y\(^2\), Area = \(\pi\)r\(^2\), Diameter = \(\frac{\text{y}}{\pi}\)m ⇒ r = \(\frac{\text{y}}{2\pi}\)m Stress = \(\frac{y^2}{\pi \times\frac{y^2}{(2\pi)^2}}\) = \(\frac{y^2}{\pi y^2} \times 4(\pi)^2\) = 4\(\pi\)Nm\(^{-2}\)

Young's modulus E is given by the formula: E = \(\frac{\text{STRESS}}{\text{STRAIN}}\) Stress = \(\frac{Force}{Area}\) Dimension of force = MLT\(^{-2}\) Dimension of Area = L\(^2\) Dimension of strain = 1(dimensionless) E = \(\frac{MLT^{-1}}{L^2}\) = ML\(^{-1}\)T\(^{-2}\)

The property described in this question is called Elasticity which is the ability of a substance to regain its original shape and size after the removal of the distorting force.

F = ke k = \(\frac{F_1}{e_1}\) F\(_1\) = 10N, e\(_1\) = 0.02m F\(_2\) = 40N, e\(_2\) = ? \(\frac{F_1}{e_1}\) = \(\frac{F_2}{e_2}\) \(\frac{10}{0.02}\) = \(\frac{40}{e_2}\) e\(_2\) = \(\frac{40 \times 0.02}{10}\) = 0.08m The new length = 1 + 0.08 = 1.08m

Aneroid barometers are compact and lightweight, making them suitable for use in aircraft where space and weight are critical considerations. They provide a reliable measurement of altitude based on changes in atmospheric pressure.

When boiling water is poured into the tumbler, the inner surface heats up and expands quickly, while the outer surface remains cooler and expands more slowly. This difference in expansion rates creates stress in the glass, leading to cracks.

From pressure law \(\frac{P_1}{T_1} = \frac{P_2}{T_2}\) P\(_2\) = \(\frac{P_1 \times T_2}{T_1}\) P\(_1\) = 40mmHg, P\(_2\) = ? T\(_1\) = 298k, T\(_2\) = 348k \(\frac{40}{298} = \frac{P_2}{348}\) P\(_2\) = \(\frac{40\times348}{298}\) = 46.71mmHg

D. Liquid-in-glass thermometer. In a liquid-in-glass thermometer, the liquid (usually mercury or colored alcohol) expands and contracts with temperature changes, allowing for the measurement of temperature based on the volume change of the liquid.

Boyle's law states that at a constant temperature, the pressure of a gas is inversely proportional to its volume (P ∝\(\frac{1}{V}\) This relationship is fundamental when calculating the work done during the isothermal expansion or compression of a gas, as it directly involves changes in volume and pressure

Temperature only. This means that the average kinetic energy is directly related to the gas's absolute temperature. The relationship can be defined by the equation: K.E = \(\frac{3}{2}\)kT where K.E = average kinetic energy, k = Boltzmann's constant, and T = absolute temperature.

Using \(^0\)F = ( \(^0\) C x \(\frac{9}{5}\)) + 32 → ( ºc x 1.8 ) + 32. \(^0\) C = 60º Then, Using \(^0\)F = ( 60 x \(\frac{9}{5}\)) + 32 = 108 + 32 = 140ºF

Absolute zero is the lowest possible temperature where molecular motion is minimal. At this temperature, the kinetic energy of the molecules is effectively zero, meaning they do not have enough energy to move.

Water is not suitable for use as a thermometric liquid because: a) It wets glass: This can cause issues with reading the level of the liquid. b) It needs to be coloured: Water is typically clear, making it difficult to see the level without coloring. c) It has a low density: This can affect the sensitivity and accuracy of the thermometer.

Using \(P_1\) \(V_1\) = \(P_2\) \(V_2\) \(V_2\) = \(\frac{P_1\times V_2}{P_2}\) \(V_2\) = \(\frac{10^5\times 20}{4 \times 10^5}\) \(V_2\) = 5m\(^3\)