A uniform circular disc of radius \( R \) and mass \( M \) is rotating about an axis perpendicular to its plane and passing through its center. A small circular part of radius \( R/2 \) is removed from the original disc as shown in the figure. Find the moment of inertia of the remaining part of the original disc about the axis as given above.
Observe the following structure:
The formal charges on the atoms 1, 2, 3 respectively are:
Two statements are given below: Statement-I: The ratio of the molar volume of a gas to that of an ideal gas at constant temperature and pressure is called the compressibility factor.
Statement-II: The RMS velocity of a gas is directly proportional to the square root of \( T(K) \).
Given below are two statements: Statement-I: In the decomposition of potassium chlorate, Cl is reduced.
Statement-II: Reaction of Na with \( O_2 \) to form \( Na_2O \) is a redox reaction.
Observe the following reaction: $ 2A_2(g) + B_2(g) \xrightarrow{T(K)} 2A_2B(g) + 600 \text{ kJ} $. The standard enthalpy of formation $ (\Delta_f H^\circ) $ of $ A_2B(g) $ is: