GATE XE format:nat PYQs & Answers — Page 7 — Exam Papers

Questions 61–70 of 668. Imported answers require independent review unless marked reviewed.

Topic practice 668 questionsPage 7 of 67

An energy conservation project requires an initial investment of ₹ 50,000 with an expected annual operation and maintenance cost of ₹ 5,000. This project is expected to reduce the monthly energy cost by ₹ 1,250. The simple payback period (in years) is__________________. (Answer in integer)

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The open circuit voltage, short circuit current, and the fill factor of a solar photovoltaic module are 45 V, 9 A, and 0.8, respectively. The maximum output power (in Watt) of the solar photovoltaic module is____________________. (Answer in integer)

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Energy is extracted from a fully charged supercapacitor bank and the voltage of this system drops to 25 % of its initial value. The energy extracted with respect to initial energy (in %, rounded off to two decimal places) is____________________.

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A 75 kWh electric vehicle battery pack made of lithium-ion batteries has 4,800 individual cells in a series-parallel combination, with 120 cells in series. The nominal voltage of the individual cell is 3.7 V. The capacity in Ah (rounded off to two decimal places) of the individual cell is ____________________.

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A nonlinear load connected to a sinusoidal voltage source (of peak value

and 50 Hz frequency) draws a quasi-square wave shaped current (of maximum value

) as shown in the figure below. The power factor of the nonlinear load (rounded off to two decimal places) is ____________________.

Diagram for Engineering Sciences question 194

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A resident has ₹ 50,000 to purchase a 5-star rated air conditioner with a life of 10 years. The annual energy cost savings (in ₹) needed to recover this investment in 6 years assuming a discount rate of 10 % per annum is ____________________. (Answer in integer)

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A country’s annual crude oil production in the year 2024 was 150 million tons and that in 2022 was 141 million tons. The proven crude oil resources in 2024 of the country are 12,000 million tons. Consider an exponential growth rate model with a growth rate as compound annual growth rate during 2022-2024. The crude oil reserve will last for __________ years. (rounded off to nearest integer)

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The useful heat gain in Watt (rounded off to one decimal place) of a solar flat plate collector using Hotel-Whillier-Bliss equation is__________________________.

Assume: Collector heat removal factor = 0.85 Absorber plate area = 1.5 m² Absorbed solar flux by the absorber plate = 600 Wm⁻² Overall loss coefficient = 4 Wm⁻²K⁻¹ Water inlet temperature = 60 °C Ambient temperature = 25 °C

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Let

be the solution of the initial value problem,

Then the value of

is equal to (Answer in integer)

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Suppose that 2 is an eigenvalue of the matrix

Then the value of

is equal to (Answer in integer)

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