Mechanical Engineering Gate 2014 Set-1 Questions with Answer

Ques 14 GATE 2014 Set-1

A block weighing 200 N is in contact with a level plane whose coefficients of static and kinetic friction are 0.4 and 0.2, respectively. The block is acted upon by a horizontal force (in newton) P=10t, where t denotes the time in seconds. The velocity (in m/s) of the block attained after 10 seconds is _______

Ques 15 GATE 2014 Set-1

For a completely submerged body with centre of gravity 'G' and centre of buoyancy 'B', the condition of stability will be

Ques 16 GATE 2014 Set-1

An ideal water jet with volume flow rate of 0.05 m³/s strikes a flat plate placed normal to its path and exerts a force of 1000 N. Considering the density of water as 1000 kg/m³, the diameter (in mm) of the water jet is _______

Ques 17 GATE 2014 Set-1

Water flows through a pipe having an inner radius of 10 mm at the rate of 36 kg/hr at 25°C. The viscosity of water at 25°C is 0.001 kg/m.s. The Reynolds number of the flow is _______

Ques 18 GATE 2014 Set-1

For a fully developed flow of water in a pipe having diameter 10 cm, velocity 0.1 m/s and kinematic viscosity 10^-5 m²/s, the value of Darcy friction factor is _______

Ques 19 GATE 2014 Set-1

In a simple concentric shaft-bearing arrangement, the lubricant flows in the 2 mm gap between the shaft and the bearing. The flow may be assumed to be a plane Couette flow with zero pressure gradient. The diameter of the shaft is 100 mm and its tangential speed is 10 m/s. The dynamic viscosity of the lubricant is 0.1 kg/m.s. The frictional resisting force (in newton) per 100 mm length of the bearing is _______

Ques 20 GATE 2014 Set-1

Biot number signifies the ratio of

Ques 21 GATE 2014 Set-1

Consider a two-dimensional laminar flow over a long cylinder as shown in the figure below.

Ques 22 GATE 2014 Set-1

Consider one dimensional steady state heat conduction across a wall (as shown in figure below) of thickness 30 mm and thermal conductivity 15 W/m.K. At x = 0, a constant heat flux, q" = 1×10⁵ W/m² is applied. On the other side of the wall, heat is removed from the wall by convection with a fluid at 25°C and heat transfer coefficient of 250 W/m².K. The temperature (in °C), at x = 0 is _______

Ques 23 GATE 2014 Set-1

The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate is given by where y is measured perpendicular to the plate, L is the plate length, and a, b and c are arbitrary constants. T_W and T_∞ are wall and ambient temperatures, respectively. If the thermal conductivity of the fluid is k and the wall heat flux is q" , the Nusselt number is equal to

Ques 24 GATE 2014 Set-1

The jobs arrive at a facility, for service, in a random manner. The probability distribution of number of arrivals of jobs in a fixed time interval is

Ques 25 GATE 2014 Set-1

In exponential smoothening method, which one of the following is true?

Ques 26 GATE 2014 Set-1

Jobs arrive at a facility at an average rate of 5 in an 8 hour shift. The arrival of the jobs follows Poisson distribution. The average service time of a job on the facility is 40 minutes. The service time follows exponential distribution. Idle time (in hours) at the facility per shift will be