GATE XE format:nat PYQs & Answers — Page 25

Questions 241–250 of 668. Imported answers require independent review unless marked reviewed.

Topic practice 668 questionsPage 25 of 67

If D₁₀ for Salmonella in egg yolk is 0.75 kGy, calculate the radiation dose in kGy (rounded off to 2 decimal places) required for reducing the Salmonella count in egg yolk by 8 log cycles.

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The average moisture binding energy of a plant protein based snack at 8% moisture content (dry basis) is 3200 cal.mol⁻¹. If the water activity of the snack at the above moisture content is 0.30 at 30 °C, the water activity of the same at 45 °C is __________ (rounded off to 2 decimal places). The value of Gas constant R = 1.987 cal.mol⁻¹.K⁻¹.

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Cow milk is pasteurized at a flow rate of 1 kg.s⁻¹ in a counter-current heat exchanger using hot water as the heating medium. The milk enters the heat exchanger at 15 °C and exits at 50 °C. The specific heat of cow milk is 3.5 kJ.kg⁻¹.°C⁻¹ and remains constant at the inlet and exit of the heat exchanger. The inlet and exit temperatures of the hot water are 75 °C and 60 °C respectively. If the overall heat transfer coefficient is 1800 W.m⁻².°C⁻¹, the heat transfer surface area in m² is _____ (rounded off to 2 decimal places). Assume steady state conditions.

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If the global albedo is increased from 0.3 to 0.4, the global radiative equilibrium temperature (in K) would decrease by ________.

(consider no greenhouse effect, solar constant = 1360 W m⁻² and Stefan-Boltzmann constant = 5.67 × 10⁻⁸ W m⁻² K⁻⁴, rounded off to one decimal place).

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When a parcel of dry air rises at a rate of 2 cm s

vertically, what should be the rate of heating per unit mass in J s

(due to the radiation, conduction, etc.) in order to maintain the air parcel at a constant temperature?

(consider the acceleration due to gravity as 9.8 m s

, rounded off to three decimal places).

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Two balls each of 5 cm in diameter are placed 200 m apart on a horizontal frictionless plane at 45° N. The balls are impulsively propelled directly at each other with equal speeds. What must be the speed in m s

so that the two balls just miss each other?

(consider the value of Ω as 7.29 × 10

rad s

, rounded off to two decimal places).

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A parcel of dry air having an initial temperature of 30 °C at 1000 hPa level is lifted adiabatically. At what pressure (in hPa) its density reduces by half?

(consider the ratio of the specific heat of dry air at a constant pressure to the specific heat of dry air at a constant volume, C

= 0.71, rounded off to two decimal places).

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A cylindrical tank containing water is rotating about the z-axis at a constant angular velocity of 10 rad s

. The schematic of the isobaric surface is shown in the following illustration, where ‘A’ and ‘B’ are two points on the isobaric surface at heights ‘z

’ and ‘z

’, respectively. Assuming the atmospheric pressure to be negligible and no transient flow, estimate the elevation difference in m between ‘z

’ and ‘z

’.

(consider r

= 0.5 m, r

= 1.0 m and gravitational acceleration g = 9.8 m s

, rounded off to two decimal places)

Diagram for Engineering Sciences question 172

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Consider that there are 295 million vehicles across India and they drive about 12000 km yr

. Each vehicle consumes about 25 km lit

of petrol and the amount of carbon released per litre is 5.5 gm. What is the amount of carbon emitted into the atmosphere in mega ton per year (rounded off to two decimal places)?

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Consider the two parallel isobars separated by a spacing of 250 km at 30° N (air density = 0.70 kg m

, 2Ω = 14.6×10

rad s

) with a pressure gradient of 5 hPa. Calculate the geostrophic velocity in m s

(rounded off to two decimal places).

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GATE XE format:nat PYQs

Question 151

Question 152

Question 153

Question 168

Question 169

Question 170

Question 171

Question 172

Question 173

Question 174