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The questions your board exam loves to ask
800 most-asked Class 11 & 12 (+1 / +2) questions across Physics, Chemistry, Maths and Biology — each with a model answer and the exact marking-scheme points examiners reward. Revise smart, walk in calm.
ChemistryClass 112 marksmedium
Organic Chemistry: Some Basic Principles and Techniques
What is the inductive effect? Distinguish between +I and -I effects.
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The inductive effect is the permanent displacement of the shared sigma-bond electron pair towards the more electronegative atom, transmitted through a chain of carbon atoms and decreasing with distance. Groups that push electrons away from themselves (electron-releasing, e.g. alkyl groups -CH3) show the +I effect, while groups that pull electrons towards themselves (electron-withdrawing, e.g. -NO2, -Cl) show the -I effect.
Marking-scheme points
- ✓Permanent shift of sigma electrons due to electronegativity difference
- ✓Transmitted through the chain, weakens with distance
- ✓+I: electron releasing (alkyl); -I: electron withdrawing (-NO2, -Cl)
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Organic Chemistry: Some Basic Principles and Techniques
What is resonance? What is resonance energy? Give one example.
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Resonance is the representation of a molecule or ion by two or more structures (canonical/contributing structures) that differ only in the position of electrons, none of which alone describes it fully; the actual structure is a resonance hybrid. Resonance energy is the difference in energy between the resonance hybrid and the most stable contributing structure; the greater the resonance energy, the more stable the molecule. Example: benzene, which is a hybrid of two Kekule structures and is more stable than expected.
Marking-scheme points
- ✓Molecule described by several canonical structures; real one is the hybrid
- ✓Resonance energy = extra stability of hybrid over best single structure
- ✓Example: benzene (Kekule structures), carbonate ion
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Organic Chemistry: Some Basic Principles and Techniques
Define electrophile and nucleophile with two examples each.
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An electrophile (electron-loving) is an electron-deficient species that accepts a pair of electrons; examples: H+, NO2+ (also positively charged or neutral electron-deficient species like BF3). A nucleophile (nucleus-loving) is an electron-rich species that donates a pair of electrons; examples: OH-, CN- (also neutral species with lone pairs like NH3 and H2O).
Marking-scheme points
- ✓Electrophile: electron-deficient, accepts electron pair (H+, NO2+)
- ✓Nucleophile: electron-rich, donates electron pair (OH-, CN-)
- ✓Electrophiles are Lewis acids; nucleophiles are Lewis bases
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Organic Chemistry: Some Basic Principles and Techniques
Distinguish between homolytic and heterolytic bond fission. What species does each produce?
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Hydrocarbons
Describe the Wurtz reaction and decarboxylation as methods for preparing alkanes.
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Hydrocarbons
State Markovnikov's rule and illustrate it with the addition of HBr to propene.
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Hydrocarbons
What is ozonolysis? What products are formed when propene undergoes ozonolysis?
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Hydrocarbons
Why does benzene undergo electrophilic substitution rather than addition? Name any two such reactions.
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Sets
If A = {1, 2, 3}, write the power set of A and state n(P(A)).
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Sets
In a class of 35 students, 24 like cricket and 16 like football. If each student likes at least one of the two games, how many like both?
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Sets
Define union, intersection and difference of two sets with an example each.
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Sets
Write the set {x : x is a real number, -3 <= x < 5} in interval notation, and write (2, 9] in set-builder form.
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Relations and Functions
If A = {1, 2} and B = {3, 4}, find A x B and n(A x B).
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Relations and Functions
If the ordered pairs (x + 1, y - 2) = (3, 1), find the values of x and y.
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Relations and Functions
For the relation R = {(1, 2), (2, 4), (3, 6)}, write its domain and range. Define domain and range.
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Relations and Functions
Define a one-one (injective) function and an onto (surjective) function.
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Trigonometric Functions
Convert 5pi/6 radians into degrees and 240 degrees into radians.
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Trigonometric Functions
Find the value of sin 75 degrees.
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Trigonometric Functions
Prove that 1 + tan^2 x = sec^2 x.
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Trigonometric Functions
Find the value of sin 15 degrees.
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