LIST I Isomeric pairs | LIST II Type of isomers | ||
A | Propanamine and N-Methylethanamine | I | Metamers |
B | Hexan-2-one and Hexan-3-one | II | Positional isomers |
C | Ethanamide and Hydroxyethanimine | II | Functional isomers |
D | o-nitrophenol and p-nitrophenol | IV | Tautomers |
Correct answer is (b) A-III, B-I, C-IV, D-II
[A.] Propanamine and N-Methylethanamine:
Propanamine (CH$_3$CH$_2$CH$_2$NH$_2$): This is a primary amine where the amino group (-NH$_2$) is attached to a propane chain.
N-Methylethanamine (CH$_3$NHCH$_2$CH$_3$): This is a secondary amine where a methyl group (-CH$_3$) and an ethyl group (-CH$_2$CH$_3$) are attached to the nitrogen atom of the amino group.
Relationship: Functional Isomers: These compounds have the same molecular formula but different functional groups (primary vs. secondary amine).
[B.] Hexan-2-one and Hexan-3-one:
Hexan-2-one (CH$_3$COCH$_2$CH$_2$CH$_2$CH$_3$): This is a ketone where the carbonyl group (C=O) is located on the second carbon of a six-carbon chain.
Hexan-3-one (CH$_3$CH$_2$COCH$_2$CH$_2$CH$_3$): This is a ketone where the carbonyl group (C=O) is located on the third carbon of a six-carbon chain.
Relationship: Metamers: These are isomers that differ in the position of the alkyl groups around a functional group (in this case, the carbonyl group).
[C.] Ethanamide and Hydroxyethanimine:
Ethanamide (CH$_3$CONH$_2$): This is an amide, a derivative of a carboxylic acid, with the -CONH$_2$ group.
Hydroxyethanimine (CH$_3$C(OH)=NH): This is an imine with a hydroxyl group (-OH) attached to the carbon of the C=N double bond.
Relationship: Tautomers: These are isomers that interconvert by the movement of a proton and a double bond. This is a specific type of structural isomerism.
[D.] o-Nitrophenol and p-Nitrophenol:
o-Nitrophenol (ortho-Nitrophenol): This is a phenol (benzene ring with an -OH group) with a nitro group (-NO$_2$) attached to the carbon adjacent to the carbon bearing the -OH group.
p-Nitrophenol (para-Nitrophenol): This is a phenol with a nitro group attached to the carbon opposite the carbon bearing the -OH group.
Relationship: Positional Isomers: These are isomers that differ in the position of a substituent (in this case, the nitro group) on a ring structure.
A bob of mass \(m\) is suspended at a point \(O\) by a light string of length \(l\) and left to perform vertical motion (circular) as shown in the figure. Initially, by applying horizontal velocity \(v_0\) at the point ‘A’, the string becomes slack when the bob reaches at the point ‘D’. The ratio of the kinetic energy of the bob at the points B and C is:
Thermodynamics in physics is a branch that deals with heat, work and temperature, and their relation to energy, radiation and physical properties of matter.
A thermodynamic system is a specific portion of matter with a definite boundary on which our attention is focused. The system boundary may be real or imaginary, fixed or deformable.
There are three types of systems:
A system undergoes a thermodynamic process when there is some energetic change within the system that is associated with changes in pressure, volume and internal energy.
There are four types of thermodynamic process that have their unique properties, and they are:
The Zeroth law of thermodynamics states that if two bodies are individually in equilibrium with a separate third body, then the first two bodies are also in thermal equilibrium with each other.
The First law of thermodynamics is a version of the law of conservation of energy, adapted for thermodynamic processes, distinguishing three kinds of transfer of energy, as heat, as thermodynamic work, and as energy associated with matter transfer, and relating them to a function of a body's state, called internal energy.
The Second law of thermodynamics is a physical law of thermodynamics about heat and loss in its conversion.
Third law of thermodynamics states, regarding the properties of closed systems in thermodynamic equilibrium: The entropy of a system approaches a constant value when its temperature approaches absolute zero.