Complete FM Marathon Class for ESE & GATE CE Exams

Question 1

An open cubical tank of 2 m side is filled with water. If the tank is accelerated horizontally with an acceleration such that half of the water spills out, then the acceleration is equal to ---- (in m/s²)

Question 2

When the flow particles flow in Zig-Zag manner and rotate about their own axis. The type of flow is,

Question 3

In which of the following method, respectively control volume and individual particle is selected.

Question 4

Assertion (A): When fluid flows past a flat plate, the boundary layer changes suddenly from laminar to turbulent.

Reason (R): As plate Reynold’s number exceeds 5 × 10⁵, boundary layer is assumed to change from laminar to turbulent.

Question 5

A pump is lifting water from pond to overhead reservoir situated at 15m above pond.If head loss through pump is 5m and flow rate is 1.70m³/min with efficiency of 60%.Find the brake horse power required to drive the pump?

Question 6

If the Froude number before hydraulic jump in a rectangular channel is

. The Froude number after the jump will be

Question 7

A large & open reservoir feeds into a horizontally laid pipe which is open to atmosphere at its outfall. Ratio of time required to empty the reservoir to that required to reduce height from H to H/2 is :

Question 8

The barometric pressure at the base of mountain is 750 mm Hg and at the top is 600 mm Hg. If the average air density is 1kg/m³, the height of mountain (in m) is approximately

Question 9Multiple Correct Options

Which of the following are the methods of dimensional analysis?

Question 10

A viscos flow is taking place b/w the two horizontal parallel fixed plates which are 80mm apart. The maximum velocity is 1.5 m/s and dynamic viscosity of oil is 1.962 N-s/m². The magnitude of pressure gradient in kPa/m is

Question 11

Water supply of a town from a river 8 km away into a reservoir is to be carried out, max difference of level of water in the river and reservoir is 20 m. Population of the town is 50000 and per capita water demand is 120 l/day. If pump are to be operate for 8 hours and efficiency is 80% and velocity of flow is 2 m/s. Determine the power delivered by pump in HP. (Take f = 0.013)

Question 12

A cylindrical vessel with a constant plane area of 1 m² is rotated about its vertical axis such that the liquid inside the vessel is about to spill. If the height of the vessel is 2 m and the height of the paraboloid is 1 m, then the volume (in m³) of the liquid in the vessel will be

Question 13Multiple Correct Options

Which of the following statements is\are correct?

Question 14

Water flows at 10 m³ /sec in a 150 cm diameter pipe. The head loss in 1000 m length of this pipe is 18.60 m. If the efficiency of the pump is 63%, then what power the pump should have to deliver this flow would be ………× 10³ HP. (round of to 2 decimal places) (g = 10 m/s²)

Question 15

Two-dimensional contracting flow net shown in figure have size of square mesh at A is 8.5mm and 3.2 mm at B . The dimensionless pressure

is equal to ________

Question 16

A pitot tube (coefficient = 1) is used to measure the velocity of air of mass density 1.6 kg /m². If the head difference in vertical U – tube filled with water is 13.6 mm the velocity of air

.

Question 17

In a 90° elbow which has diameter of 30 cm. The average velocity of water flow inside the elbow is 5 m/s with a pressure intensity of 4 kPa. The magnitude of vertical reaction (in kN) needed to keep the elbow in equilibrium is

Question 18

It is required to carry out model studies on a boat travelling at a speed of 3m/s. Assume the acceleration due to gravity as 10m/s² and neglect the effects due to viscous & surface tension forces. The depth of water can be assumed as 3.6m. The value of appropriate non-dimensional no. is_____

Question 19

If the diameter of pipe is suddenly doubled, the head loss is expressed as

(V₁ = Initial velocity before expansion). Then the value of ‘K’ is _____.

Question 20

The viscous laminar flow of air over a flat plate results in the formation of a boundary layer. At the end of the plate of length ‘L’, the boundary layer thickness is ‘

’. When the plate length is increased to twice its original length, the percentage change in laminar boundary layer thickness at the end of the plate (with respect to

) is……….. (Round of to 2 decimal places)

Question 21

An equilateral prism with side of triangle 20 cm are height 60 cm is half filled with water and is noted on its triangular face. The ratio of force on the bottom surface to the force on vertical surface is

Question 22

If the pressure inside the droplet of water is 10% more than that of outside pressure of the droplet of water. The diameter of droplet of water is 0.06 mm and surface tension of water is taken as 0.0725 N/m of water, the pressure inside the droplet is ____ N/cm².

Question 23

Additional 9 cm³ of water is poured in the inclined limb. Find the rise (cm) in the meniscus in the vertical tube. (round off to two decimal places)

Question 24

A 45° deflection angle diffusing bend lies in horizontal plane and tapers from 60 cm diameter at inlet to 30 cm diameter at the outlet, the pressure at the inlet is 15 kPa and flow through the bend is 0.5 m/s. Assuming friction loss of 20% of KE at the inlet, computer the magnitude of the resultant flow exerted by the water on the bend in kN correct to one decimal place.

Question 25

The performance of a spillway of a power project is to be studied by means of a model constructed to scale of 1:9. Neglecting the viscous and surface tension effects, determine the rate of flow in the model for a prototype discharge of 1000 m³/s.