I and II are
To analyze the relationship between structures I and II of 2,3-dibromohexane, we'll examine their stereochemical properties.
1. Structural Identification:
Both structures represent 2,3-dibromohexane with bromine atoms at the second and third carbon positions.
2. Key Considerations:
We evaluate several possibilities:
- Identical: Superimposable molecules
- Conformers: Isomers interconvertible by single bond rotation
- Geometric Isomers: Different substituent arrangements requiring bond breaking
- Optical Isomers: Non-superimposable mirror images
3. Analysis of Structures I and II:
- Both have 2 chiral centers (C2 and C3)
- The key feature is a single bond between the bromine-bearing carbons
- The structures differ only by rotation around this C-C single bond
- No bonds need to be broken to interconvert between them
4. Conclusion:
Structures I and II represent different spatial arrangements achievable through single bond rotation, making them conformers.
Final Answer:
The correct relationship is a pair of conformers (Option B).
Analysis: To determine the relationship between the structures I and II, we need to examine the spatial arrangement of atoms and the type of isomerism they exhibit.
Types of Isomerism:
Conclusion: Since structures I and II differ only in the rotation around a single bond, they are more correctly classified as a pair of conformers. This type of isomerism is due to free rotation about a single (sigma) bond, causing a different spatial arrangement.
The incorrect statements regarding geometrical isomerism are:
(A) Propene shows geometrical isomerism.
(B) Trans isomer has identical atoms/groups on the opposite sides of the double bond.
(C) Cis-but-2-ene has higher dipole moment than trans-but-2-ene.
(D) 2-methylbut-2-ene shows two geometrical isomers.
(E) Trans-isomer has lower melting point than cis isomer.
Given below are two statements:
Statement (I):
are isomeric compounds.
Statement (II): are functional group isomers.
In the light of the above statements, choose the correct answer from the options given below:
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: