The Tyndall effect is observed only when the following two conditions are satisfied:
1. The diameter of the dispersed particles is not much smaller than the wavelength of the light used. If the particles are much smaller than the wavelength of light, scattering is negligible, and the Tyndall effect is not observed.
2. The refractive indices of the dispersed phase and the dispersion medium differ greatly in magnitude. Explanation of Statements: Assertion A: This is correct because the particle size needs to be comparable to the wavelength of light to scatter light effectively and show the Tyndall effect. Reason R: This is correct because light scatters in all directions when the particle size is large enough to cause significant scattering. Furthermore, the reason directly explains why the assertion is true.
Conclusion: Both Assertion A and Reason R are correct, and Reason R is the correct explanation of Assertion A.
Calculate the potential for half-cell containing 0.01 M K\(_2\)Cr\(_2\)O\(_7\)(aq), 0.01 M Cr\(^{3+}\)(aq), and 1.0 x 10\(^{-4}\) M H\(^+\)(aq).

In the given figure, the blocks $A$, $B$ and $C$ weigh $4\,\text{kg}$, $6\,\text{kg}$ and $8\,\text{kg}$ respectively. The coefficient of sliding friction between any two surfaces is $0.5$. The force $\vec{F}$ required to slide the block $C$ with constant speed is ___ N.
(Given: $g = 10\,\text{m s}^{-2}$) 
Two circular discs of radius \(10\) cm each are joined at their centres by a rod, as shown in the figure. The length of the rod is \(30\) cm and its mass is \(600\) g. The mass of each disc is also \(600\) g. If the applied torque between the two discs is \(43\times10^{-7}\) dyne·cm, then the angular acceleration of the system about the given axis \(AB\) is ________ rad s\(^{-2}\).

Match the LIST-I with LIST-II for an isothermal process of an ideal gas system. 
Choose the correct answer from the options given below: