GATE ES year:2021 PYQs & Answers — Page 4

Questions 31–40 of 65. Imported answers require independent review unless marked reviewed.

Consider the following equation:

Which of the following is/are the root(s) of the above equation?

Your answerSelect all correct options. You can choose more than one.

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A wind rose is a representation of meteorological conditions. Which of the following is/are included in this representation?

Your answerSelect all correct options. You can choose more than one.

Mixing height

Wind speed

Wind direction

Percentage of time

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A flocculation tank used for water treatment has a velocity gradient (G) of 800 s⁻¹. The volume of the tank is 40 m³. The dynamic viscosity of water is 9×10⁻⁴ N·s/m². The theoretical power required to maintain the given velocity gradient is __________ kW (rounded off to the nearest integer).

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In a sample, the growth of microbial cells started with an initial concentration of 5×10⁴ cells per millilitre (mL) of the sample. After a certain time period, the cell concentration was found to be 1280×10⁴ cells per mL of the sample. Assuming binary fission of cells and no cell death, the number of generations of cell growth occurred in this time period is __________ (answer in integer).

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A water jet discharging from a 4 cm diameter orifice has a diameter of 3.5 cm at its vena contracta. The coefficient of velocity is defined as the ratio of the actual velocity of the jet at vena contracta to the theoretical velocity of the jet. If the coefficient of velocity is 0.98, the coefficient of discharge for the orifice will be __________ (rounded off to two decimal places).

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The 2×2 matrices P and Q satisfy the following relations:

and

The matrix Q is equal to __________.

Your answerChoose one option.

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A biased die has six faces numbered as

and 6. On rolling the die, the probability of the number

appearing is proportional to

. What is the probability that an even number will appear on rolling the die?

Your answerChoose one option.

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Match the entries in Column I with the correct entries in Column II.

Column I	Column II
P. Diffusion	(i) Pasquill
Q. Drag force	(ii) Fick
R. Atmospheric stability	(iii) Stokes

Your answerChoose one option.

P-(iii), Q-(ii), R-(i)

P-(ii), Q-(i), R-(iii)

P-(i), Q-(iii), R-(ii)

P-(ii), Q-(iii), R-(i)

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Which of the following international multilateral agreements (conventions, protocols) from Column I match with the entries in Column II?

Column I	Column II
P. Ramsar Convention	(i) Ozone depletion
Q. Kyoto Protocol	(ii) Trans-boundary movement of hazardous wastes
R. Basel Convention	(iii) Climate change
S. Montreal Protocol	(iv) Conservation of wetlands

Your answerChoose one option.

P-(iv), Q-(iii), R-(ii), S-(i)

P-(iv), Q-(ii), R-(iii), S-(i)

P-(iii), Q-(i), R-(ii), S-(iv)

P-(i), Q-(iii), R-(iv), S-(ii)

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An ideal PFR or an ideal CFSTR may be used to degrade a pollutant with first order reaction kinetics. Both the reactors are fed with the same inlet concentration and the same volumetric flow rate, and are designed to achieve the same outlet concentration. Which of the following statements is true when comparing PFR with CFSTR?

PFR is Plug Flow Reactor.

CFSTR is Continuous Flow Stirred Tank Reactor (also referred to as CSTR).

Your answerChoose one option.

PFR will always require less reactor volume than CFSTR.

PFR will require the same reactor volume as CFSTR.

CFSTR will always require less reactor volume than PFR.

CFSTR can sometimes require less reactor volume than PFR.

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GATE ES year:2021 PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30