GATE ME format:nat PYQs & Answers — Page 11

Questions 101–110 of 418. Imported answers require independent review unless marked reviewed.

Topic practice 418 questionsPage 11 of 42

Electrochemical machining operations are performed with tungsten as the tool, and copper and aluminum as two different workpiece materials. Properties of copper and aluminum are given in the table below.

Material	Atomic mass (amu)	Valency	Density (g/cm )
Copper	63	2	9
Aluminum	27	3	2.7

Ignore overpotentials, and assume that current efficiency is 100% for both the workpiece materials. Under identical conditions, if the material removal rate (MRR) of copper is 100 mg/s, the MRR of aluminum will be ______________ mg/s (round-off to two decimal places).

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

The demand of a certain part is 1000 parts/year and its cost is ₹100/part. The orders are placed based on the economic order quantity (EOQ). The cost of ordering is ₹100/order and the lead time for receiving the orders is 5 days. If the holding cost is ₹20/part/year, the inventory level for placing the orders is ______ parts (round off to the nearest integer).

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

A polytropic process is carried out from an initial pressure of 110 kPa and volume of 5 m³ to a final volume of 2.5 m³. The polytropic index is given by

. The absolute value of the work done during the process is ______ kJ (round 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 1 kg of an ideal gas at 1 bar and 300 K contained in a rigid and perfectly insulated container. The specific heat of the gas at constant volume

is equal to 750 J·kg⁻¹·K⁻¹. A stirrer performs 225 kJ of work on the gas. Assume that the container does not participate in the thermodynamic interaction. The final pressure of the gas will be ______ bar (in integer).

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

A flat plate made of cast iron is exposed to a solar flux of 600 W/m² at an ambient temperature of 25 °C. Assume that the entire solar flux is absorbed by the plate.

Cast iron has a low temperature absorptivity of 0.21. Use Stefan-Boltzmann constant =

W/m²-K⁴. Neglect all other modes of heat transfer except radiation.

Under the aforementioned conditions, the radiation equilibrium temperature of the plate is ________ °C (round off to the nearest integer).

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

Wien’s law is stated as follows:

, where

is 2898 μm·K and

is the wavelength at which the emissive power of a black body is maximum for a given temperature

. The spectral hemispherical emissivity (

) of a surface is shown in the figure below (1 Å = 10⁻¹⁰ m). The temperature at which the total hemispherical emissivity will be highest is ______ K (round off to the nearest integer).

Diagram for Mechanical Engineering question 35

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

Let a random variable

follow Poisson distribution such that

The value of

is __________ (round 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 two vectors:

Magnitude of the component of

orthogonal to

in the plane containing the vectors

and

is _________ (round 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

If the sum and product of eigenvalues of a

real matrix

are 4 and

respectively, then

is _____ (in integer).

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

A structure, along with the loads applied on it, is shown in the figure. Self-weight of all the members is negligible and all the pin joints are friction-less. AE is a single member that contains pin C. Likewise, BE is a single member that contains pin D. Members GI and FH are overlapping rigid members. The magnitude of the force carried by member CI is ________ kN (in integer).

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

GATE ME format:nat PYQs

Question 33

Question 33

Question 34

Question 34

Question 35

Question 35

Question 47

Question 48

Question 48

Question 49