Engineering Sciences
GATE XE format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 231–240 of 959. Imported answers require independent review unless marked reviewed.
Question 78
Open questionXE-DMCQ2 marksNeeds review
Two identical rigid slender bars of length
and mass
are acted upon by a transverse force F at one of the ends as shown in the figure. In the first case, the bar is pinned at the other end. In the second case, the bar is pinned at its mid-point. What should be the magnitude of the force F such that the resulting angular accelerations of the two bars are equal? 
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Open questionXE-EMCQ1 markNeeds review
A heat source at temperature
transfers the same amount of heat to a sink under the following situations:Case A: Sink is at temperature
Case B: Sink is at temperature
If
, which one of the following statements is TRUE?Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 89
Open questionXE-EMCQ1 markNeeds review
Given
is the molar specific volume,
is the pressure,
is the temperature,
is the Universal gas constant, and
are van der Waal’s constants.The van der Waal’s equation of state is
The value of
isYour answerChoose one option.
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Open questionXE-EMCQ1 markNeeds review
The temperature of 10 g of liquid water (
J/g.K) in an insulated container is raised by 5 K by stirring. The amount of heat transferred to the water (in J) isYour answerChoose one option.
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Open questionXE-EMCQ1 markNeeds review
The figure shows four different processes labeled 1, 2, 3, and 4 for the same closed system containing an ideal gas. The curves labeled
,
, and
are isotherms. For which one of the four processes, the magnitude of internal energy change is the highest?

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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 92
Open questionXE-EMCQ1 markNeeds review
A power plant operates on a simple ideal Rankine cycle. If superheating is added to this cycle, then which one of the following options is CORRECT?
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 97
Open questionXE-EMCQ2 marksNeeds review
A fixed mass of an ideal gas undergoes two different cycles M and N as shown in the Pressure (
) – Volume (
) diagrams. Based on the information provided, which one of the following statements is always TRUE? 
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Open questionXE-EMCQ2 marksNeeds review
In a graph with Helmholtz function on the
-axis and volume on the
-axis, the slope of the isotherm curves for a finite volume system containing an ideal gas isYour answerChoose one option.
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Open questionXE-EMCQ2 marksNeeds review
Match each quantity in Column M with the appropriate relation from Column N. Here,
is Helmholtz function,
is pressure,
is specific volume,
is temperature,
is specific enthalpy, and
is specific entropy.Column M: (M1)
; (M2)
; (M3)
; (M4)
.Column N: (N1)
; (N2)
; (N3)
; (N4)
; (N5)
; (N6)
; (N7)
; (N8)
.Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 100
Open questionXE-EMCQ2 marksNeeds review
10 kg of water at 300 K is poured into a bucket containing 10 kg of water at 350 K. Heat capacity of water is 4.2 kJ/kg.K. Neglecting any heat losses to the surroundings, the change in the entropy (in kJ/K) of the system during this process (rounded off to two decimal places) is
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