GATE ME 2024 Paper 1 — page 15

Complete GATE ME 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 43–45 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 15 of 22

satisfies the differential equation

subject to the condition

, then the value of

is ______ (rounded off to 2 decimal places).

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Let

be a continuous random variable defined on

such that its probability density function

for

and 0 otherwise. Let

. Then the expected value of

is _____. (rounded off to 2 decimal places)

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Consider an air-standard Brayton cycle with adiabatic compressor and turbine, and a regenerator, as shown in the figure. Air enters the compressor at 100 kPa and 300 K and exits the compressor at 600 kPa and 550 K. The air exits the combustion chamber at 1250 K and exits the adiabatic turbine at 100 kPa and 800 K. The exhaust air from the turbine is used to preheat the air in the regenerator. The exhaust air exits the regenerator (state 6) at 600 K. There is no pressure drop across the regenerator and the combustion chamber. Also, there is no heat loss from the regenerator to the surroundings. The ratio of specific heats at constant pressure and volume is

. The thermal efficiency of the cycle is ________ % (answer in integer).

Diagram for Mechanical Engineering question 45

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2024 · Paper 1

Question 43

Question 44

Question 45