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What is Hückel's Rule?
Hückel's rule tells us if a compound is aromatic (special and stable). It must:
- Be a ring (cyclic).
- Have alternating double bonds (conjugated).
- Be flat (planar).
- Have 4n + 2 π electrons (like 2, 6, 10, etc., where n = 0, 1, 2...).
Checking Each Option
i) Two fused benzene rings: This is naphthalene. It has 10 π electrons (4n + 2, n = 2) and is flat. Obeys Hückel's rule. -
ii) Five-membered ring with O: This is furan. It has 6 π electrons (4 from the ring + 2 from oxygen’s lone pair, n = 1) and is flat. Obeys Hückel's rule.
iii) Two parallel lines: This is not a ring, so it can’t be aromatic. Does not obey Hückel's rule.
iv) Triangle with a + charge: This is the cyclopropenyl cation. It has 2 π electrons (n = 0) and is flat. Obeys Hückel's rule.
v) Triangle with a - charge: This is the cyclopropenyl anion. It has 4 π electrons (doesn’t fit 4n + 2). Does not obey Hückel's rule.
vi) Seven-membered ring: This is cycloheptatriene. It has 6 π electrons (n = 1), but it’s not flat because of the CH₂ group. Does not obey Hückel's rule.
vii) Three fused benzene-like rings: This is anthracene. It has 14 π electrons (4n + 2, n = 3) and is flat. Obeys Hückel's rule.
Final Count
The compounds that obey Hückel's rule are i, ii, iv, and vii. That’s 4 compounds.
Identify the correct orders against the property mentioned:
A. H$_2$O $>$ NH$_3$ $>$ CHCl$_3$ - dipole moment
B. XeF$_4$ $>$ XeO$_3$ $>$ XeF$_2$ - number of lone pairs on central atom
C. O–H $>$ C–H $>$ N–O - bond length
D. N$_2$>O$_2$>H$_2$ - bond enthalpy
Choose the correct answer from the options given below:
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 : 
A constant voltage of 50 V is maintained between the points A and B of the circuit shown in the figure. The current through the branch CD of the circuit is :
The current passing through the battery in the given circuit, is: 
Such a group of atoms is called a molecule. Obviously, there must be some force that holds these constituent atoms together in the molecules. The attractive force which holds various constituents (atoms, ions, etc.) together in different chemical species is called a chemical bond.
There are 4 types of chemical bonds which are formed by atoms or molecules to yield compounds.