GATE CY 2026 Paper 1 — page 21

Questions 61–63 of 65. Imported answers require review unless explicitly marked reviewed.

The positions of two atoms in spherical polar coordinates (r, θ, Φ) are (1, π/2, π/2) and (1, π/4, 3π/2), where the distance is in Å and the angles are in radian. The interatomic distance (in Å) is _____ (rounded off to two decimal places).

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If the translation partition function for H₂ confined in a 1 L vessel at 300 K is

, then the value of y is ______ (rounded off to one decimal place).

(Given: Atomic mass (in amu): H = 1.008; 1 amu = 1.661 × 10⁻²⁷ kg; h = 6.626 × 10⁻³⁴ J s; k = 1.381 × 10⁻²³ J K⁻¹)

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In a calibrated pH meter comprising of glass electrode-standard calomel electrode, the potential for a buffer solution of pH 4.01 is measured as 0.814 V at 25 °C. For a 4.0 × 10⁻³ M solution of acetic acid, the measured potential (in V) is ______ (rounded off to three decimal places).

(Given: Kₐ of acetic acid at 25 °C = 1.75 × 10⁻⁵; 2.303RT/F = 0.059; Assume: aH⁺ = [H⁺])

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2026 · Paper 1

Question 61

Question 62

Question 63