GATE ME kind:question PYQs & Answers — Page 12

Questions 111–120 of 1040. Imported answers require independent review unless marked reviewed.

Topic practice 1040 questionsPage 12 of 104

The directional derivative of the function

given below at the point

in the direction of

is __________ (rounded off to 1 decimal place).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

be the solution of the differential equation with the initial conditions given below. If

, then the value of

is __________ (rounded off to 2 decimal places).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider a cylindrical furnace of 5 m diameter and 5 m length with bottom, top and curved surfaces maintained at uniform temperatures of 800 K, 1500 K and 500 K, respectively. The view factor between the bottom and top surfaces,

is 0.2. The magnitude of net radiation heat transfer rate between the bottom surface and the curved surface is __________ kW (rounded off to 1 decimal place). All surfaces of the furnace can be assumed as black. The Stefan-Boltzmann constant,

Diagram for Mechanical Engineering question 48

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A pitot tube connected to a U-tube mercury manometer measures the speed of air flowing in the wind tunnel as shown in the figure below. The density of air is 1.23 kg m

while the density of water is 1000 kg m

. For the manometer reading of

mm of mercury, the speed of air in the wind tunnel is __________ m s

(rounded off to 1 decimal place). Assume: Specific gravity of mercury =13.6. Acceleration due to gravity = 10 m s

Diagram for Mechanical Engineering question 49

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider a velocity field

, where

is a constant. If the flow is irrotational, the value of

is __________ (rounded off to 1 decimal place).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Water enters a tube of diameter, D = 60 mm with mass flow rate of 0.01 kg s

as shown in the figure below. The inlet mean temperature is

K and the uniform heat flux at the surface of the tube is 2000 W m

. For the exit mean temperature of

K, the length of the tube, L is ________ m (rounded off to 1 decimal place).

Use the specific heat of water as 4181 J kg

Diagram for Mechanical Engineering question 51

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A thermal power plant is running with no heat regeneration. The specific enthalpy and specific entropy of steam at the turbine inlet are 3344 kJ kg

and 6.5 kJ kg

, respectively. The turbine isentropic efficiency is 0.9, and the mass flow rate of steam at the turbine inlet is 102 kg s

. The turbine power output is __________ MW (rounded off to 1 decimal place).

Properties of saturated liquid and saturated vapor at turbine exit pressure

Saturated liquid water: Specific enthalpy (kJ kg )	Saturated liquid water: Specific entropy (kJ kg K )	Saturated water vapor: Specific enthalpy (kJ kg )	Saturated water vapor: Specific entropy (kJ kg K )
341	1.1	2645	7.6

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider a Pelton wheel of 1 m diameter. The magnitude of relative velocity of water at the bucket inlet is same as the magnitude of relative velocity of water at the bucket exit. The absolute speed of water at the bucket inlet is 125.66 m s

. For maximum power output from the Pelton wheel, the rpm of the Pelton wheel is ________________ (rounded off to 1 decimal place).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A thermodynamically closed system contains 1 kg of hydrogen. The system undergoes a reversible polytropic process with polytropic index 1.3. The work output during the process is 400 kJ. During the process, hydrogen behaves as an ideal gas with constant specific heats. The absolute value of heat transfer during the process is __________ kJ (rounded off to 1 decimal place).

Specific heat of hydrogen at constant pressure = 14.56 kJ kg

Specific heat of hydrogen at constant volume = 10.4 kJ kg

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A heat pump, operating in reversed Carnot cycle, maintains a steady air temperature of 300 K inside an auditorium. The heat pump receives heat from the ambient air. The ambient air temperature is 280 K. Heat loss from the auditorium is 15 kW. The power consumption of the heat pump is ________ kW (rounded off to 2 decimal places).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE ME kind:question PYQs

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55