Total number of possible isomers (both structural as well as stereoisomers) of cyclic ethers of molecular formula $C_{4}H_{8}O$ is:
We are asked to count all possible isomers (structural and stereoisomers) for cyclic ethers with the molecular formula C4H8O. This formula corresponds to saturated cyclic ethers (with one ring and one oxygen atom, no double bonds).
Let us identify the different ring sizes and substitutions:
1. Three-membered ring ethers (Oxiranes/Epoxy compounds):
- Ethyloxirane (1-ethyl-oxirane)
- Methylmethyloxirane (2-methyl-oxirane, both cis and trans isomers) → 2 stereoisomers
2. Four-membered ring ethers (Oxetanes):
- Methyl-substituted oxetane (on different carbon positions)
- 2 stereoisomers (cis/trans) possible depending on substitution pattern
3. Tetrahydrofuran derivative (5-membered ring):
- 2-methyltetrahydrofuran → exists as cis/trans stereoisomers
So we have:
- 1 from ethyloxirane
- 2 from methylmethyloxirane (cis/trans)
- 1 from methyl-substituted oxetane
- 2 from methyltetrahydrofuran (cis/trans)
Total = 1 + 2 + 1 + 2 = 6 isomers
A full wave rectifier circuit with diodes (\(D_1\)) and (\(D_2\)) is shown in the figure. If input supply voltage \(V_{in} = 220 \sin(100 \pi t)\) volt, then at \(t = 15\) msec: