Questions 981–990 of 1772. Imported answers require independent review unless marked reviewed.

Topic practice 1772 questionsPage 99 of 178

Question 19

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At room temperature of 25°C, a gap of 1 mm exists between the ends of the rods 1 and 2 as shown. Given the cross section area A of the rods is 1500 mm², Young’s modulus E = 75 GPa and the coefficient of thermal expansion

. When the temperature has reached 150°C, the magnitude of normal stress in each of the rods (in MPa, rounded off to two decimal places) is
Diagram for Engineering Sciences question 19


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Question 20

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A tube of inner radius 4 cm and outer radius 5 cm can carry a maximum torque of T. This tube is now replaced by a solid circular shaft of the same material. The minimum radius of the solid circular shaft (in cm, rounded off to two decimal places) to carry the same amount of torque T is

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Question 21

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In System A, a rectangular block of mass M is centrally supported on a spring of stiffness K as shown. In the System B, the mass is hinged at one of its ends and is supported centrally by the spring. The ratio of natural frequency of System B to that of System A (rounded off to two decimal places) is
Diagram for Engineering Sciences question 21


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Question 22

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A coronavirus droplet of mass 1 microgram ejects from the mouth of a patient with a velocity of 0.7 m/s and travels through air. The gravitational force experienced by it can be neglected due to the buoyancy effect. However, the droplet experiences air drag force proportional to its velocity and the drag coefficient is given as 1.0 μN·s/m. The distance travelled by the droplet before its velocity drops to 10% of its initial value (in m, rounded off to two decimal places) is

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Question 1

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A refrigerator working on a reversed Carnot cycle has a Coefficient of Performance (COP) of 4. If it works as a heat pump and consumes work input of 1 kW, the heating effect will be:
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Question 2

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The liquid phase of a pure substance is termed as ____________, if its temperature is lower than the saturation temperature corresponding to its pressure

.
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Question 3

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Two air streams of mass flow rates

and

enter a mixing chamber and exit after perfect mixing. The corresponding temperatures of the inlet streams are

and

, respectively. Heat loss rate from the mixing chamber to the surrounding is

. Assume that the process is steady, specific heat capacity is constant, and air behaves as an ideal gas. Identify the correct expression for the final exit temperature

after mixing. The mass specific heat capacities of the gas at constant volume and constant pressure are

and

, respectively. Neglect the bulk kinetic and potential energies of the streams.
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Question 4

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If

is the mass specific enthalpy,

is the mass specific entropy,

is the pressure,

is the temperature,

is the mass specific heat at constant volume,

is the mass specific heat at constant pressure,

is the coefficient of thermal expansion,

is the mass specific volume,

is the isothermal compressibility, then the partial derivative

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Question 5

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If

is the mass specific volume,

is the mass specific entropy,

is the pressure,

is the temperature, then using Maxwell relations,

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Question 6

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A closed system consists of a solution of liquid water and ethanol in equilibrium with its vapors. Using the Gibbs phase rule, the degree of freedom of the system is:
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