GATE CY kind:question PYQs & Answers — Page 7

Questions 61–70 of 650. Imported answers require independent review unless 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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The Brunauer-Emmett-Teller (BET) surface area measurement data for adsorption of N₂ gas at 77 K on 1.0 g of an adsorbent fits into a straight line, when

is plotted against

. The slope and intercept of the straight line are

and

, respectively. The surface area (in

) of the adsorbent is ______ (rounded off to one decimal place).

(Given:

of N₂ gas corresponds to

molecules and each molecule occupies

is the volume of gas adsorbed in

, where

is the pressure of the N₂ gas and

is equilibrium vapour pressure of liquid N₂)

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The orbital angular momentum (L) of an electron is

. The minimum angle between L and its z-component (in degrees) is _____ (rounded off to one decimal place).

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Courage : Bravery :: Yearning : __________

Select the most appropriate option to complete the analogy.

Your answerChoose one option.

Long

Yelling

Yawning

Glaring

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We __________ tennis in the lawn when it suddenly started to rain.

Select the most appropriate option to complete the above sentence.

Your answerChoose one option.

have been playing

had been playing

would have been playing

could be playing

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A 4 × 4 digital image has pixel intensities (

) as shown in the figure. The number of pixels with

is:

Your answerChoose one option.

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In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of P, Q, and R?

Your answerChoose one option.

P = 6; Q = 5; R = 3

P = 5; Q = 6; R = 3

P = 3; Q = 6; R = 6

P = 5; Q = 3; R = 6

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A rectangle has a length L and a width W, where L > W. If the width, W, is increased by 10%, which one of the following statements is correct for all values of L and W?

Your answerChoose one option.

Perimeter increases by 10%.

Length of the diagonals increases by 10%.

Area increases by 10%.

The rectangle becomes a square.

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GATE CY kind:question PYQs

Question 61

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Question 65

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