GATE BT format:nat PYQs & Answers — Page 4

Questions 31–40 of 201. Imported answers require independent review unless marked reviewed.

Topic practice 201 questionsPage 4 of 21

Let

and define

for all positive integers

. The least value of

for which

is _____.

(Answer in integer)

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The percentage of light that would pass through a sample with an absorbance of 2 would be ______ %.

(Round off to the nearest integer)

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A hot, freshly-sterilised fermentation medium is cooled in a double-pipe heat-exchanger. The medium enters the inner pipe of the exchanger at 95 °C and leaves the exchanger at 40 °C. Cooling water, flowing counter-currently to the medium, enters the annulus of the exchanger at 15 °C and leaves the exchanger at 45 °C. The overall heat transfer coefficient is 1350 W m

°C

. The rate of heat transfer per unit area will be ______ W/m².

(Round off to the nearest integer)

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A 2 L bioreactor is being operated as a chemostat, at a flow rate of 0.8 L/h and sterile feed of 10 g/L substrate. The bacterial growth follows Monod kinetics at a maximum specific growth rate of 0.6 h

with a Monod constant of 0.5 g/L and a biomass yield coefficient of 0.4 g/g.

The exit biomass concentration is ______ g/L.

(Round off to one decimal place)

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Let

. If the eigenvalues of

are −2, 1, and 2, then the value of

is _____________.

(Answer in integer)

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An NMR spectrometer operating at proton resonance frequency (ν) of 1 GHz will have a magnetic field strength of ________ Tesla (T).

The gyromagnetic ratio for proton, γ = 2.675 × 10

(Round off to one decimal place)

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For the coupled reactions given below

Glucose 6-phosphate + H

O → Glucose + P

(Reaction 1) ATP + Glucose → ADP + Glucose 6-phosphate (Reaction 2)

the standard free energy change of ATP hydrolysis at 25 °C is ____ kJ/mol. The equilibrium constants for Reaction 1 and Reaction 2 are 360 and 800, respectively. Gas constant R = 8.314 J mol

(Round off to two decimal places)

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The degree of reduction (reductance) for oxalic acid (

) is ________.

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If the rate at which E. coli divides is 0.5 h

, then its doubling time is ________ h.

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The decimal reduction time of a microbe during sterilization at 120 °C with a first order thermal death rate constant of 1 min

will be ________ min (rounded off to 1 decimal place).

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GATE BT format:nat PYQs

Question 59

Question 60

Question 61

Question 62

Question 63

Question 64

Question 65

Question 33

Question 34

Question 35