Complete GATE CY 2025 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 19–21 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 7 of 22

Question 19

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CYMCQ1 markNeeds review
Rigid rotor wavefunctions are given by

. The wavefunctions

and

are given below

For a non-polar diatomic molecule, the value of transition dipole moment integral for transition between

and

is equal to
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Question 20

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CYMCQ1 markNeeds review
The translational, vibrational, and rotational molecular partition functions for a system containing ideal diatomic gas molecules in the canonical ensemble (N, V, T) are written as

,

, and

, respectively. The option that correctly defines their thermodynamic variable(s) dependency is
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Question 21

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CYMSQ1 markNeeds review
The Vaska’s complex trans-IrCl(CO)(PPh₃)₂ shows a band at 1967 cm⁻¹ for the νCO stretching vibration in its infrared spectrum. The complex(es) that will show an increase in the νCO stretching vibration from 1967 cm⁻¹ is/are
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