The following are the data for two crossed helical gears used for speed reduction: Gear I : Pitch circle diameter in the plane of rotation 80 mm and helix angle 300 Gear I : Pitch circle diameter in the plane of rotation 120 mm and helix angle 22.50 If the input speed is 1440 rpm, the output speed in rpm is

A thin walled spherical shell is subjected to an internal pressure, if the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is

A solid cylinder of diameter 100 mm and height 50 mm is forged between two frictionless flat dies to a height of 25 mm. The percentage change in diameter is

The homogenous state of stress for a metal part undergoing plastic deformation is

T = $\begin{pmatrix} \ 10 & 5 & 0 \ \ 5 & 20 & 0 \ \ 0 & 0 & -10 \ \end{pmatrix}$

where the stress component values are in MPa. Using von Mises yield criterion, the value of estimated shear yield stress, in MPa is

A CNC vertical milling machine has to cut a straight slot of 10 mm width and 2 mm depth by a cutter of 10 mm diameter between points (0, 0) and (100, 100) on the XY plane (dimensions in mm). The feed rate used for milling is 50 mm/min. The milling time for the slot (in seconds) is

A room contains 35 kg of dry air and 0.5 kg of water vapour. The total pressure and temperature of air in the room are 100 kPa and 25⁰C respectively. Given that the saturation pressure for water at 25⁰C is 3.17 kPa, the relative humidity of the air in the room is

A solid disc of radius r rolls without slipping on a horizontal floor with angular velocity $\omega$ and angular acceleration $\alpha$. The magnitude of the acceleration of the point of contact on the disc is

A concentrated mass m is attached at the centre of a rod of length 2L as shown in the figure. The rod is kept in a horizontal equilibrium position by a spring of stiffness k. For very small amplitude of vibration, neglecting the weights of the rod and spring, the undamped natural frequency of the system is

The state of stress at a point under plane stress condition is $\sigma_{xx}$= 40 MPa, $\sigma_{yy}$= 100 MPa and $\tau_{xy}$= 40 MPa The radius of the Mohr's circle representing the given state (in MPa) is

A cantilever beam of length L is subjected to a moment M at the free end. The moment of inertia of the beam cross section about the neutral axis is l and the Young's modulus is E. The magnitude of the maximum deflection is

Choose the most appropriate alternative from the options given below to complete the following sentence.Suresh's dog is the one ________was hurt in the stampede.

Choose the most appropriate alternative from the options given below to complete the following sentence:Despite several ________, the mission succeeded in its attempt to resolve the conflict.

Which of the following options is the closest in meaning to the word given below?Mitigate

The cost function for a project in a firm is given by 5q², where q is the amount of production. The firm can sell the product at a market price at a market price of Rs. 50 per unit. The number of units to be produced by the firm such that the profit is maximized is

In a DC arc welding operation, the voltage arc length characteristics was obtained as V_arc = 20 + 5l where the arc length l was varied between 5 mm and 7 mm. Here, V_arc denotes the arc voltage in Volts. The arc current was varied from 400 A to 500 A. Assuming linear power source characteristics, the open circuit voltage and the short circuit current for the welding operation are

Choose the grammatically INCORRECT sentence:

A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation y = 2x - 0.1x2 where y is the height of the arch in metres. The maximum possible height of the arch is

An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of X's shock absorbers, 96% are reliable. Of Y's shock absorbers, 72% are reliable. The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is

Given the sequence of terms, AD CG FK JP, the next term is

Which of the following assertions are CORRECT?P : Adding 7 to each entry in a lists adds 7 to the mean of the list Q : Adding 7 to each entry in a lists adds 7 to the standard deviation of the listR : Doubling each entry in a list doubles the mean of the list S : Doubling each entry in a list leaves the standard deviation of the list unchanged

For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is

A solid steel cube constrained on all six faces is heated so that the temperature rises uniformly by $\triangle$T. If the thermal coefficient of the material is a, young's module is E and the Poisson's ratio is u, the thermal stress developed in the cube due to heating is

A circular solid disc of uniform thickness 20 mm, radius 200 mm and mass 20 kg, is used as fly wheel. If it rotates at 600 rpm, the kinetic energy of the flywheel (in Joules) is

In the mechanism given below, if the angular velocity of the eccentric circular disc is 1 rad/s, the angular velocity (rad/s) of the follower link for the instant shown in the figure is

Steam enters an adiabatic turbine operating at steady state with an enthalpy of 3251.0 kj/kg and leaves as a saturated mixture at 15 kPa with quality (dryness friction) 0.9. The enthalpies of the saturated liquid and vapour at 15 kPa are hf = 225.94 kj/kg and hg = 2598.3 kj/kg respectively. The mass flow rate of stream is 10 kg/s. Kinetic and potential energy changes are negligible. The power output of the turbine (in MW) is

Air enters an adiabatic nozzle at 300 kPa, 500 k with a velocity of 10 m/s. It leaves the nozzle at 100 kPa with a velocity of 180 m/s. The inlet area is 80 cm². The specific heat of air Cp is 1008 J/kg. K

The exit temperature of the air is

An ideal gas of mass m and temperature T₁ undergoes a reversible isothermal process from an initial pressure P₁ to final pressure P₂. The heat loss during the process is Q. The entropy change $\triangle$S of the gas is

Air enters an adiabatic nozzle at 300 kPa, 500 k with a velocity of 10 m/s. It leaves the nozzle at 100 kPa with a velocity of 180 m/s. The inlet area is 80 cm2. The specific heat of air Cp is 1008 J/kg. K

The exit area of the nozzle in cm² is

The area enclosed between the straight line y = x and the parabola y = x² in the x - y plane is

The inverse Laplace transform of the function F (s) = $\frac{1}{s(s+1)}$is given by

Consider the function f (x) = |x| in the interval - 1 $\leq$ x$\leq$ 1. At the point x = 0, f (x) is

At x = 0, the function f (x) = x³ + 1 has

x + 2y + z = 4
2x + y + 2z = 5 x - y + z = 1

The system of algebraic equations given above has

For the spherical surface x² + y² + z² = 1, the unit outward vector at the point ^{$\Big(\frac{1}{\sqrt{2}} , \frac{1}{\sqrt{2}}, 0\Big)$} is given by

A box contains 4 red balls and 6 black balls. Three balls are selected randomly from the box one after another, without replacement. The probability that the selected set contains one red ball and two black balls is

$\lim\limits_{x \rightarrow 0}\Big( \frac{1 - cos x}{x^2}\Big)$is

Consider the differential equation x² - 4y = 0 with the boundary conditions of y(0) = 0 and y (1) = 1. The complete solution of the differential equation is

Two steel truss members, AC and BC, each having cross sectional area of 100 mm² are subjected to a horizontal force F as shown in figure, all the joints are hinged.

If F = 1 kN, the magnitude of the vertical reaction force developed at the point B (in kN) is

Two steel truss members, AC and BC, each having cross sectional area of 100 mm² are subjected to a horizontal force F as shown in figure, all the joints are hinged.

The maximum force F in kN that can be applied at C such that the axial stress in any of the truss members DOES NOT exceed 100 Mpa is

Oil flows through a 200 mm diameter horizontal cast iron pipe (friction factor, f = 0.0225) of length 500 m. The volumetric flow rate is 0.2 m³/s. The head loss (in m) due to friction is (assume g = 9.81 m/s²).

An incompressible fluid flows over a flat plate with zero pressure gradient. The boundary layer thickness is 1 mm at a location where the Reynolds number is 1000. If the velocity of the fluid alone is increased by a factor of 4, then the boundary layer thickness at the same location, in mm will be

The velocity triangles at the inlet and exit of the rotor of a turbo machine are shown. V denotes the absolute velocity of the fluid. W denotes the relative of the fluid and U denotes the blade velocity. Subscripts 1 and 2 refers to inlet and outlet respectively. If V₂ = W₁ and V₁ = W₂, then the degree of reaction is

A large tank with a nozzle attached contains three immiscible, in viscid fluids as shown. Assuming that the changes in h₁, h₂ and h₃ are negligible, the instantaneous discharge velocity is

Consider two infinitely long thin concentric tubes of circular cross section as shown in the figure, If D₁ and D₂ are the diameters of the inner and outer tubes respectively, the view factor F₂₂ is given by

Water (C_p = 4.18 kJ/kg.K) at 80⁰ C enters a counter flow heat exchanger with a mass flow rate of 0.5 kg/s. Air (C_p = 1 kJ/kg.K) enters at 30⁰ C with a mass flow rate of 2.09 kg/s. If the effectiveness of the heat exchanger is 0.8, the LMTD (in ^oC) is

Which one of the following configurations has the highest fin effectiveness?

Which of the following is NOT a decision taken during the aggregate production planning stage?

For a particular project eight activities are to be carried out. Their relationships with other activities and excepted durations are mentioned in the table below:

Activity| Predecessors| Duration (days)| | a| -| 3| | b| a| 4| | c| a| 5| | d| a| 4| | e| b| 2| | f| d| 9| | g| c, e| 6| | h| f, g| 2|

The critical path for the project is

For a particular project eight activities are to be carried out. Their relationships with other activities and excepted durations are mentioned in the table below:

Activity| Predecessors| Duration (days)| | a| -| 3| | b| a| 4| | c| a| 5| | d| a| 4| | e| b| 2| | f| d| 9| | g| c, e| 6| | h| f, g| 2|

If the duration of activity f alone is changed from 9 to 10 days, then the

A filled welded joint is subjected to transverse loading F as shown in the figure. Both legs of the fillets are of 10 mm size and the weld length is 30 mm. If the allowance shear stress of the weld is 94 MPa, considering the minimum throat area of the weld, the maximum allowable transverse load (in kN) is

A force of 400 N is applied to the brake drum of 0.5 m diameter in a band brake system as shown in the figure where the wrapping angle is 1800. If the coefficient of friction between the drum and the band is 0.25, the braking torque applied (in Nm) is

Wanted temporary, part time persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements : High School Pass must be available for day, evening and Saturday work. Transportation paid expenses reimbursed. Which one of the following is the best inference from the above advertisement?

In abrasive jet machining as the distance between the nozzle tip and the work surface increases, the material removal rate

In a single pass drilling operation a through hole of 15 mm diameter is to be drilled in a steel plate of 50 mm thickness. Drill spindle speed is 500 rpm, feed is 0.2 mm/rev and drill point angle is 118⁰. Assuming 2 mm clearance at approach and exit, the total drill time (in seconds) is

Details pertaining to an orthogonal metal cutting process is as below:

The shear strain rate (in s^-1) during the process is

Match the following metal forming processes with their associated stresses in the work piece.

In an interchangeable assembly, shafts of size 25 mm having range [0.04 to - 0.010] are mated with holes of size 25 mm having range [0.030 to - 0.020]. The maximum interference (in microns) in the assembly is

During normalizing process of steel the specimen is heated

Calculate the punch size (in mm), for a circular blanking operation for which details are given below:

In a single pass rolling process using 410 mm diameter steel rollers, a strip of width 140 mm and the thickness 8 mm undergoes 10% reduction of thickness. The angle of bite (in radians) is

A refrigerator operates between 120 kPa in an ideal vapour compression cycle withy R - 134a as the refrigerant enters the compressor as saturated vapour and leaves the condenser as saturated liquid. The mass flow rate of the refrigerant is 0..2 kg/s. Properties for R - 134a are as follows: || |---| | Saturated R - 134a| ||||||| |---|---|---|---|---|---| | P (kPa)| T (^oC)| h_f (kJ/kg)| H_g (kJ/kg)| S_f (kJ/kg. k)| S_g (kJ/kg. K)| | 120| - 22.32| 22.5| 237| 0.093| 0.95| | 800| 31.31| 95.5| 267.3| 0.354| 0.918| || |---| | Superheated R - 134a| ||||| |---|---|---|---| | P (kPa)| T (^oC)| h (kJ/kg)| S (kJ/kg)| | 800| 40| 276.45| 0.95|

The rate at which heat is extracted (in kJ/s) from the refrigerated space is

A refrigerator operates between 120 kPa in an ideal vapour compression cycle with y R - 134a as the refrigerant enters the compressor as saturated vapour and leaves the condenser as saturated liquid. The mass flow rate of the refrigerant is 0.5 kg/s. Properties for R - 134a are as follows: || |---| | Saturated R - 134a| ||||||| |---|---|---|---|---|---| | P (kPa)| T (^oC)| h_f (kJ/kg)| H_g (kJ/kg)| S_f (kJ/kg. k)| S_g (kJ/kg. K)| | 120| - 22.32| 22.5| 237| 0.093| 0.95| | 800| 31.31| 95.5| 267.3| 0.354| 0.918| || |---| | Superheated R - 134a| ||||| |---|---|---|---| | P (kPa)| T (^oC)| h (kJ/kg)| S (kJ/kg)| | 800| 40| 276.45| 0.95|

The power required for the compressor (in kW) is

A solid circular shaft needs to be designed to transmit a torque of 50 Nm. If the allowable shear stress of the material is 140 MPa, assuming a factor of safety of 2, the minimum allowable design diameter (in mm) is

For the matrix A = $\begin{bmatrix} \ 5 & 3 \ \ 1 & 3 \ \end{bmatrix}$, ONE of the normalized eigen vectors is given as

For an opaque surface, the absorptivity $(\alpha)$, transmissivity $(\tau)$ and reflectivity $(\rho)$are related by the equation