Chemistry
GATE CY concept:point-groups PYQs
Build your understanding with focused practice from past exam papers.
How to practice concept:point-groups
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–8 of 8. Imported answers require independent review unless marked reviewed.
Question 18
Open questionCYMCQ1 markNeeds review
The point group of CH₂=C=CH₂ is
Your answerChoose one option.
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Open questionCYNAT1 markNeeds review
The total number of symmetry operations (order, h) present in the point group of [PdCl₆]²⁻ is x and that in trans-[PdBr₂Cl₄]²⁻ is y. The value of x − y is _____ (in integer).
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 18
Open questionCYMCQ1 markNeeds review
The symmetry element that does NOT belong to
point group isYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 27
Open questionCYMCQ1 markNeeds review
Point group of naphthalene (C₁₀H₈) is
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 22
Open questionCYMCQ1 markNeeds review
The point group of SF
isYour answerChoose one option.
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Open questionCYMSQ1 markNeeds review
The characters of E, C₂, σᵥ, and σ′ᵥ symmetry operations, in this order, for valid irreducible representation(s) of the C₂ᵥ point group is/are:
Your answerSelect all correct options. You can choose more than one.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 15
Open questionCYMCQ1 markNeeds review
The character table for a pyramidal AB₃ molecule of C₃ᵥ point group is given below:
C₃ᵥ | E | 2C₃ | 3σᵥ |
A₁ | 1 | 1 | 1 | z | x² + y², z²
A₂ | 1 | 1 | −1 | Rz |
E | 2 | −1 | 0 | (x,y) (Rx,Ry) | (x²−y², xy) (xz, yz)
The reducible representation of pyramidal AB₃ is
C₃ᵥ | E | 2C₃ | 3σᵥ
Γ | 12 | 0 | 2
The CORRECT option representing all the normal Raman active modes of pyramidal AB₃ is:
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 52
Open questionCYNAT2 marksNeeds review
Character table of point group D₈ is given below.
D₈ | E | 2C₈ | 2C₄ | 2C₈³ | C₂ | 4C₂′ | 4C₂″ |
|---|---|---|---|---|---|---|---|
A₁ | a | 1 | 1 | 1 | 1 | 1 | 1 |
A₂ | b | 1 | 1 | 1 | 1 | h | i |
B₁ | c | −1 | 1 | −1 | 1 | 1 | j |
B₂ | d | −1 | 1 | −1 | 1 | −1 | 1 |
E₁ | e | √2 | 0 | −√2 | −2 | 0 | 0 |
E₂ | f | 0 | −2 | 0 | k | 0 | 0 |
E₃ | g | −√2 | 0 | √2 | −2 | 0 | 0 |
Value of (a + b + c + d + e + f + g + h + i + j + k) is equal to ________
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