ISRO Scientist or Engineer Mechanical 2011

For the following questions answer them individually

Reversible adiabatic process may be expressed as $$\left(\frac {T_1}{T_2}\right)$$ equal to

According to first law of thermodynamics

A cylindrical body of cross-sectional area A height H and the density $$\rho_s$$, is immersed to a depth h in a liquid of density $$\rho$$, and tied to the bottom with a string. The tension in the string is

A manometer méasures the pressure differential between two locations of a pipe carrying water. If the manometric liquid is mercury (specific gravity 13.6) and the manometer showeda level difference of 20 cm, then the pressure head difference of water between the two tapings will be

Flow takes place at Reynolds Numberof 1500 in two different pipes with relative roughness of 0.001 and 0.002. The friction factor

A liquid compressedi in cylinder has a volume of $$0.04 m^3$$ at $$50 kg/cm^2 and a volume of $$0.039 m^3$$ at $$150 kg/cm^2$$. The bulk modulus of elasticity of liquid is

A fluid jet is discharging from a 100 mm nozzle and the vena contracta formed has a diameter of 90 mm. If the coefficient of velocity is 0.95, then the coefficient of discharge for the nozzle is

The temperature profile between two metal walls joined together is shown in Fig.From the figure it can be concluded that

Oscillation of a particle is prescribed by the equation $$ x = 3 \cos(0.25 \pi t),$$ where t is the time in seconds. The time taken by the particle to move from position of equilibrium to maximum displacement is

1kg of moist air of RH 70% at $$21^\circ C$$ is cooled at constant pressure of 1 bar to $$5^\circ C.$$ The vapour pressure at $$21^\circ C$$ and $$5^\circ C$$ are 0.025 bar and 0.0087 bar. The percentage of water vapour that condenses into water, at $$ 5^\circ C$$ is

Two spherical balis of same material and surface finish have their diameters in the ratio of 2:1. Both are heated to same temperature and allowed to cool by radiation. Rate of cooling of big ball as compared to smaller one will be in the ratio of

A solid shaft of 100mm diameter transmits 160 HP at 200rpm. The modulus of rigidity $$c = 8 \times 10^5 kg/cm^2$$ .Then the maximum angle of twist for a length of 6 meteris

Air at $$20^\circ C$$ blows over a plate of $$50 cm \times 75 cm$$ maintained at $$250^\circ C.$$ If the convection heat transfer coefficient is $$ 25W/m^{2^\circ} C$$ , the heat transfer rate is

A small plastic boat loaded with pieces of steel rods is floating in a bath tub. If the cargo is dumped into the water allowing the boatto float empty, the water level in the tub will

When a jet plane flying at 300 m/s is at the very top of its trajectory, the apparent weight of a passenger is one half of her actual weight. Find the radius of curvature R of the flight path at this point. Use $$ g = 10 m/s^2.$$

Two cars are moving in the same direction with a speed of 45 km/hr and a distance of 10 km separates them. If a car coming from the opposite direction meets these two cars at an interval of 6 minutes, its speed would be

If the rotating mass of a rim type flywheel is distributed on another rim type flywheel whose mean radius is half the mean radius of the former, then energy stored in the later at the same speed will be

Two heavy rotating masses are connected by shafts of lengths $$ l_1, l_2 and l_3,$$ and the corresponding diameters are $$d_1, d_2 and d_3.$$ this system is reduced to a torsionally equivalent length of the shafts is

A thin cylinder contains fluid at a pressure of $$30 kg/cm^2$$.The inside diameter of the shell is 60 cm and the tensile stress in the material is to be limited to $$900 kg/cm^2$$. The shell must have minimum wall thickness of.

When a shaft is subjected to combined twisting moment (T) and bending moment (M), the equivalent twisting moment is equal to

Two blocks with masses M and m are in contact with each other and are resting on 2 horizontal friction less floor. When horizontal force F is applied to the heavier, the blocks accelerate to the right. The force between the two blocks are

A machine mounted on a single coil spring has a perriod of free vibration of T. If the spring is cut into four equal parts and placed in parallel and the machine is mounted on them, then the period of free vibration of the new system will be

Acircular rod of 100mm diameter and 500mm length is subjected to a tensile force of 1000KN. Determine the modulus of rigidity (G) if $$E = 2 \times 10^5 N/mm^2$$ and Poisson’s = 0.3

Consider the following statements:
If at section away from the ends of the beam, M represents the bending moment, $$V$$ the shear force, $$w$$ the intensity of loading and $$y$$ represents the deflection of the beam at the section, then
1.$$\frac{dM}{dx} = V$$
2.$$\frac{dV}{dx} = w$$
3.$$\frac{dw}{dx} = y$$
Of these statements

With a punch for which the maximum crushing stress is 4 times the maximum shearing stress of the plate, the biggest hole that can be punchedi in the plate would be of diameter equal to

A simply supported beam with width ‘b’ and. depth ‘d’ carries a central load W and undergoes deflection $$\delta$$ at the centre. If the width and depth are interchanged, the deflection at the centre of the beam would attain the value:

The given figure shows a cantilever of span ‘L’ subjected to a concentrated load ‘P’ and a moment ‘M’ at the free end. Deflection at the free end is given by

Two beams of equal cross sectional area are subjected to equal bending moment. If one beam has square section and the other has circular section then,

A 50mm diameter steel rod was turned at 284 rpm and tool failure occurred in 10 minutes. The speed was changed to 232 rpm and the tool failed in 60 minutes. Assuming straight line relationship between cutting Speed and tool life, the value of Taylorian Exponent is

A milling machine has the following two index plates supplied along with the indexing head:
Plate 1: 15, 16,17,18, 19, 20, hole circles
Plate 2: 21,23,27,29,31,33, hole circles
It is proposed to mill a spur gear of 28 teeth using simple indexing method. Which one of the following combinations of index plate and number of revolutions is correct?

The initial blank diameter required to form a cylindrical cup of outside diameter ’d’ and total height ‘h’ having a corner radius ‘r’ is obtained using the formula

General solution of the differential equation $$(D^2 - 2D + 1)y = e^x$$ is

The value of curl of the vector $$v = (xyz)\widehat{i} + (3x^2y)\widehat{j} + (xz^2 - y^2z)\widehat{k}$$ at the point (2, -1, 1) is

An open tank contains water to a depth of 2 m and oil over it toa depth of 1m. If the specific gravity of oil is 0.8, then the pressure intensity at the interface of the two fluid layers will be

A box contains 6 black and 5 red balls. Twe balls are drawn one after another from the box without replacement. The probability for both balls to be red is

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