Baeyer's reagent is a cold, dilute, alkaline solution of potassium permanganate KMnO4.
It is a powerful oxidizing agent and is used as a test for unsaturation (presence of double or triple bonds) in organic compounds. The permanganate ion MnO4- is a deep purple color.
When it reacts with an unsaturated compound, the purple color disappears, and a brown precipitate of manganese dioxide MnO2 forms. This decolorization of the permanganate solution is a positive test for unsaturation. It's important that the solution be cold and dilute; otherwise, the reaction may proceed too vigorously, and the permanganate may oxidize the organic compound further.
Which of the following microbes is NOT involved in the preparation of household products?
A. \(\textit{Aspergillus niger}\)
B. \(\textit{Lactobacillus}\)
C. \(\textit{Trichoderma polysporum}\)
D. \(\textit{Saccharomyces cerevisiae}\)
E. \(\textit{Propionibacterium sharmanii}\)
A sphere of radius R is cut from a larger solid sphere of radius 2R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is :