The reaction sequence involves the following steps:
1. The reaction of compound W with sodium carbonate (\(\text{Na}_2\text{CO}_3\)) in the presence of heat and oxygen gives X and \(H^+\).
2. \(X\) then reacts with potassium chloride (\(\text{KCl}\)) in aqueous solution to form \(Y\), which is a solid compound.
3. Finally, the compound \(Y\) leads to the formation of \(Z\), which appears as orange crystals and is an oxidizing agent in acidic conditions.
Let's analyze the compounds:
- The orange color and oxidizing nature suggest that \(Z\) is likely to be chromium(VI) compound, which typically exists in the form of orange or yellow crystals.
- The most common orange chromium(VI) compound is \(\text{Cr}_2\text{O}_3\), and it is often produced from \(\text{FeCr}_2\text{O}_4\), a chromium-containing mineral. Thus, \(\text{FeCr}_2\text{O}_4\) fits the description of the compound W, as it can undergo oxidation to produce the chromium(VI) compound (which appears as orange crystals) and act as an oxidizing agent. \[ \text{FeCr_2\text{O}_4} \]
Thus, the correct answer is \( B \).
A solid cylinder of mass 2 kg and radius 0.2 m is rotating about its own axis without friction with angular velocity 5 rad/s. A particle of mass 1 kg moving with a velocity of 5 m/s strikes the cylinder and sticks to it as shown in figure.
The angular velocity of the system after the particle sticks to it will be: