GATE Engineering - Mechanical Engineering (ME)

Thermodynamics, Fluid Dynamics, Heat Transfer & Strength of Materials question bank (Thermal, Fluid & Applied Mechanics)

Practice 64 free GATE Engineering - Mechanical Engineering (ME) Thermal, Fluid & Applied Mechanics - Thermodynamics, Fluid Dynamics, Heat Transfer & Strength of Materials questions with answers and step-by-step solutions.

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Q1.

GATE Mechanical (Thermodynamics): A Carnot heat engine operates between heat reservoirs at $600\text{ K}$ and $300\text{ K}$ in 'Thermodynamics: First and Second Laws, Entropy, Carnot Cycle and Pure Substances'. What is the maximum theoretical thermal efficiency?

(A)

$50\%$ ($\eta = 1 - \frac{T_L}{T_H} = 1 - \frac{300}{600} = 0.50$) (Thermodynamics: First and Second Laws, Entropy, Carnot Cycle and Pure Substances)

(B)

$66.7\%$

(C)

$33.3\%$

(D)

$100\%$

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Q2.

Strength of Materials: A circular steel shaft of diameter $d$ is subjected to a pure twisting torque $T$ in 'Thermodynamics: First and Second Laws, Entropy, Carnot Cycle and Pure Substances'. The maximum shear stress induced at the outer surface is proportional to:

(A)

$\frac{1}{d^3}$ ($\tau = \frac{16T}{\pi d^3}$) (Thermodynamics: First and Second Laws, Entropy, Carnot Cycle and Pure Substances)

(B)

$\frac{{1}}{{d^2}}$

(C)

$\frac{{1}}{{d^4}}$

(D)

$d^3$

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