GATE PI format:nat PYQs & Answers — Page 10 — Exam Papers

Questions 91–100 of 264. Imported answers require independent review unless marked reviewed.

Topic practice 264 questionsPage 10 of 27

Details of activities of a project are given as

Activity	A	B	C	D	E	F	G	H	I	J
Time (days)	8	10	8	7	16	15	18	14	9	4
Predecessors	-	-	-	A	A	B, D	C	C	F, G	E, I, H

The time required, in days, to complete the project along the critical path is _____ (in integer).

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A system has 10 essential components. Each component has an exponential time-to-failure distribution with constant failure rate of 0.04 per 4000 hours. The mean-time-to-failure, in hours, of the system is _____ (in integer).

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A CNC water jet cutting machine is used to cut a straight slot between the points (2, 1) and (10, 10) on the XY plane (dimensions are in mm). If the feed rate is 1.5 mm/s, the time, in s, required to machine the slot following the shortest path, is _____ (round off to 2 decimal places).

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In an orthogonal cutting with a tool of rake angle 0°, the value of the cutting force is two times of the thrust force. The coefficient of friction is _____ (round off to 1 decimal place).

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The solidification of a cubic casting of side 100 mm takes place with volumetric solidification shrinkage and solid contraction of 10 % each. The shape of the casting is retained on cooling to room temperature. The side of the cubical cast, in mm, at room temperature is _____ (round off to 2 decimal places).

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A straight turning operation is carried out at the feed rate of 100 mm/min using a single point cutting tool with signature

(ASA). The spindle speed is 1600 rpm. The roughness, in μm, of the machined surface in terms of peak-to-valley height is _____ (round off to 2 decimal places).

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An arc welding operation is performed at 25 V and 200 A at welding speed of 2 mm/s. The heat used for melting is 80 % of the total heat generated. The unit melting energy of the metal to be joined is 10 J/mm³. The volume of the weld metal produced per unit time, in mm³/s, is _____ (in integer).

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Water flows through a pipe of diameter 0.02 m. The Reynolds number of the flow is 100. The pipe is heated from outside with a uniform heat flux. The flow and heat transfer in the pipe are steady and fully developed. The thermal conductivity of water is 0.66 W/(m-K). The convective heat transfer coefficient, in W/(m²-K), is _____ (round off to 2 decimal places).

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In an ideal air-standard Brayton cycle, air enters the compressor at 100 kPa and 300 K. Thermal efficiency of the cycle is 50 %. The heat added to air is 100 kJ/kg. Air has constant specific heat

kJ/(kg-K) and

. Air temperature, in K, at the turbine inlet is _____ (round off to 2 decimal places).

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A key of width and height of 6 mm each is used to fix a gear on a shaft of 20 mm diameter. The shaft is used to transmit 10 kW power at 600 rpm to the gear. Permissible shear stress in the key is 80 N/mm², while compressive stress in the key is neglected. The minimum length of the key, in mm, is _____ (round off to 2 decimal places).

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