GATE ME format:nat PYQs & Answers — Page 6

Questions 51–60 of 418. Imported answers require independent review unless marked reviewed.

Topic practice 418 questionsPage 6 of 42

A piston-cylinder arrangement shown in the figure has a stop located 2 m above the base. The cylinder initially contains air at 140 kPa and 350 °C and the piston is at rest in equilibrium at a position which is 1 m above the stops. The system is now cooled to the ambient temperature of 25 °C. Consider air to be an ideal gas with a value of gas constant

kJ/(kg.K).

The absolute value of specific work done during the process is ______ kJ/kg (rounded off to 1 decimal place).

Diagram for Mechanical Engineering question 46

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A heat pump (H.P.) is driven by the work output of a heat engine (H.E.) as shown in the figure. The heat engine extracts 150 kJ of heat from the source at 1000 K. The heat pump absorbs heat from the ambient at 280 K and delivers heat to the room which is maintained at 300 K. Considering the combined system to be ideal, the total amount of heat delivered to the room together by the heat engine and heat pump is ______kJ (answer in integer).

Diagram for Mechanical Engineering question 47

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Consider a slab of 20 mm thickness. There is a uniform heat generation of

MW/m

inside the slab. The left and right faces of the slab are maintained at 150 °C and 110 °C, respectively. The plate has a constant thermal conductivity of 200 W/(m.K). Considering a 1-D steady state heat conduction, the location of the maximum temperature from the left face will be at _____ mm (answer in integer).

Diagram for Mechanical Engineering question 48

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A condenser is used as a heat exchanger in a large steam power plant in which steam is condensed to liquid water. The condenser is a shell and tube heat exchanger which consists of 1 shell and 20,000 tubes. Water flows through each of the tubes at a rate of 1 kg/s with an inlet temperature of 30 °C. The steam in the condenser shell condenses at the rate of 430 kg/s at a temperature of 50 °C. If the heat of vaporization is 2.326 MJ/kg and specific heat of water is 4 kJ/(kg.K), the effectiveness of the heat exchanger is ______ (rounded off to 3 decimal places).

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Consider a hemispherical furnace of diameter

m with a flat base. The dome of the furnace has an emissivity of 0.7 and the flat base is a blackbody. The base and the dome are maintained at uniform temperatures of 300 K and 1200 K, respectively. Under steady state conditions, the rate of radiation heat transfer from the dome to the base is ______ kW (rounded off to the nearest integer).

Use Stefan-Boltzmann constant =

W/(m² K⁴)

Diagram for Mechanical Engineering question 50

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A liquid fills a horizontal capillary tube whose one end is dipped in a large pool of the liquid. The experiments show that the distance

travelled by the liquid meniscus inside the capillary in time

is given by

where

is the surface tension,

is the inner radius of the capillary, and

is the dynamic viscosity of the liquid. If

is a dimensionless constant, then the exponent

is ________ (rounded off to 1 decimal place).

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The Levi type-A train illustrated in the figure has gears with module

mm/tooth. Gears 2 and 3 have 19 and 24 teeth respectively. Gear 2 is fixed and internal gear 4 rotates at 20 rev/min counter-clockwise. The magnitude of angular velocity of the arm is ________ rev/min. (rounded off to 2 decimal places)

Diagram for Mechanical Engineering question 52

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A horizontal beam of length 1200 mm is pinned at the left end and is resting on a roller at the other end as shown in the figure. An linearly varying distributed load is applied on the beam. The magnitude of maximum bending moment acting on the beam is ________ N.m. (round off to 1 decimal place)

Diagram for Mechanical Engineering question 53

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At the instant when OP is vertical and AP is horizontal, the link OD is rotating counter clockwise at a constant rate

rad/s. Pin P on link OD slides in the slot BC of link ABC which is hinged at A, and causes a clockwise rotation of the link ABC. The magnitude of angular velocity of link ABC for this instant is _________________ rad/s (rounded off to 2 decimal places).

Diagram for Mechanical Engineering question 54

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A vibratory system consists of mass

, a vertical spring of stiffness

and a horizontal spring of stiffness

. The end A of the horizontal spring is given a horizontal motion

. The other end of the spring is connected to an inextensible rope that passes over two massless pulleys as shown. Assume

kg,

kN/m, and neglect friction. The magnitude of critical driving frequency for which the oscillations of mass

tend to become excessively large is ________ rad/s (answer in integer).

Diagram for Mechanical Engineering question 55

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GATE ME format:nat PYQs

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55