GATE CY format:nat PYQs & Answers — Page 10

Questions 91–100 of 166. Imported answers require independent review unless marked reviewed.

Topic practice 166 questionsPage 10 of 17

At 25 °C, the emf (in volts, rounded off to three decimal places) of the cell,

Ag | AgBr(s) | Br

(a = 0.20), Cu

(a = 0.48), Cu

(a = 0.24) | Pt

is ______

(Given: The standard emf of the cell is 0.082 V; R = 8.314 J K

mol

; F = 96500 C mol

)

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For an enzyme catalyzed reaction, the plot of inverse of initial rate against inverse of initial substrate concentration is linear with slope 0.16 s and intercept 2.12 mol

L s. The estimated value of Michaelis constant (in mol L

, rounded off to two decimal places) is ______

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Fluorescence quantum yield and fluorescence lifetime of a molecule are 0.4 and 5 × 10

s, respectively. If the fluorescence decay rate constant is Y × 10

, the value of Y (rounded off to nearest integer) is ______

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Among the following sets,

the total number of set(s) of diastereomeric pair(s) is ______

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Among the following,

the total number of compounds showing characteristic carbonyl stretching frequency less than 1700 cm

in their IR spectra is ______

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Consider that AgX crystallizes in rock salt structure. The density of AgX is 6477 kg/m

and unit cell length is 577.5 pm. Atomic weight of Ag is 107.87 g mol

. The atomic weight of X (in g mol

, rounded off to two decimal places) is ______

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The total number of

lines expected in the EPR spectrum of a solution of bis(salicylaldimine) copper(II) having pure

Cu and

N at 77 K is ______

(Given: I values of

Cu,

N and

H are

, 1 and

, respectively)

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Among the following,

the total number of species having nido structure is ______

(Given: atomic numbers of H, B, C, O, Ni, Rh and Os are 1, 5, 6, 8, 28, 45 and 76, respectively)

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The frequency (in cm

, rounded off to two decimal places) for pure rotational line in the spectrum of NO molecule due to change in the quantum number from

is ______

(Given: Moment of inertia of NO =

kg m

;

J s;

m/s)

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The % error (rounded off to two decimal places) in the ground state energy of a particle in a one dimensional box of length ‘a’ described by a trial variation function

, where

, is ______

(Given: The true ground state energy of the above system is

;

)

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GATE CY format:nat PYQs

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