ISRO Scientist or Engineer Mechanical 2009

ISRO Scientist or Engineer Mechanical 2009 - Question 1

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A hydraulic press has a ram of 15 cm diameter and plunger of 1.5 cm. It is required to lift a mass of 1000kg. The force required on plunger is nearly equal to

A

100N

B

1000N

C

10000N

D

10 N

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ISRO Scientist or Engineer Mechanical 2009 - Question 2

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If the stream function is given by $$\psi = 3xy,$$ then the velocity at a point (2,3) will be

A

7.21 unit

B

18 unit

C

10.82 unit

D

54 unit

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ISRO Scientist or Engineer Mechanical 2009 - Question 3

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The correct sequence of the centrifugal pump components through which the fluid flows is

A

Impeller, Suction pipe, Foot valve and strainer, Delivery pipe

B

Foot valve and strainer, Suction pipe, Impeller, Delivery pipe

C

Impeller, Suction pipe, Delivery pipe, Foot valve and strainer

D

Suction pipe, Delivery pipe, Impeller, Foot valve and strainer

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ISRO Scientist or Engineer Mechanical 2009 - Question 4

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The relation $$pV^\gamma$$ = constant, where $$\gamma$$ is the ratio of the specific heats of ideal gas, is applicable to

A

Any adiabatic process

B

Only reversible adiabatic process

C

Only irreversible adiabatic process

D

Only isothermal process

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ISRO Scientist or Engineer Mechanical 2009 - Question 5

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Across a normal shock

A

static pressure and the static temperature rise

B

entropy remains constant

C

velocity and static pressure decrease

D

density and temperature decrease

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ISRO Scientist or Engineer Mechanical 2009 - Question 6

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A necessary precaution in selection of pumps for parallel operations is that

A

H-Q characteristics of both should be identical

B

Both pumps should be centrifugal type

C

Both pumps should be identical

D

There should not be change from positive to negative slope in H-Q curve

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ISRO Scientist or Engineer Mechanical 2009 - Question 7

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A metallic cube of side 10 cm, density 6.8 gm/cc is floating in liquid mercury (density 13.6gm/cc), with 5 cm height of cube exposed above the mercury level. Water (density 1 gm/cc) is filled over this, to submerge the cube fully. The new height of cube exposed above mercury level is

A

4.6 cm

B

5.4 cm

C

5.0 cm

D

5.8 cm

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ISRO Scientist or Engineer Mechanical 2009 - Question 8

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The pressure drop for a relatively low Reynolds number flow in a 600 mm, 30 m long pipeline is 70kPa. Whatis the wall shear stress?

A

0 Pa

B

1400 Pa

C

700 Pa

D

350 Pa

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ISRO Scientist or Engineer Mechanical 2009 - Question 9

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The radiative heat transfer rate per unit area (W/m2) between two plane parallel grey surfaces (emissivily 0.9) maintained at 400 K and 300 K is (Stefan Bottzman constant $$\sigma = 5.67 \times 10^6 W/m^2 K^4$$)

A

1020

B

464

C

812

D

567

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ISRO Scientist or Engineer Mechanical 2009 - Question 10

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At the eye tip of a centrifugal impeller, blade velocity is 200 m/s while the uniform axial velocity at the inlet is 150 m/s. If the sonic velocity is 300 m/s, then the inlet Mach number of the flow will be

A

0.75

B

0.66

C

0.90

D

0.83

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ISRO Scientist or Engineer Mechanical 2009 - Question 11

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The transition Reynolds number for flow over a flat plate is $$ 5 * 10^5.$$ What is the distance from the leading edge at which transition will occur for flow of water with a uniform velocity of 1m/s? (For water, the kinematic viscosity, $$v = 0.86 * 10^{-6} m^2/s)$$

A

0.43 m

B

1 m

C

43 m

D

103 m

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ISRO Scientist or Engineer Mechanical 2009 - Question 12

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For a reciprocating water pump having cylinder dia d and crank radius r, if W is the weight of water lifted, the coefficient of discharge is

A

$$\frac {W}{\pi d^2 r}$$

B

$$\frac {2W}{\gamma \pi d^2 r}$$

C

$$\frac {W}{\gamma d^2 r}$$

D

$$\frac {W}{\gamma \pi d^2}$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 13

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Both free vortex and forced vortex can be expressed mathematically in terms of tangential velocity V at the corresponding radius r. Choose the correct combination

A

Free vortex - $$V = r \times const,$$ Forced vortex - $$V_r = const.$$

B

Free vortex - $$V^2 \times r = const,$$ Forced vortex - $$V = r \times const.$$

C

Free vortex - $$V \times r = const,$$ Forced vortex - $$V^2 = r \times const.$$

D

Free vortex - $$V \times r = const,$$ Forced vortex - $$V = r \times const.$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 14

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A bucket of water is hanging from a spring balance. An iron piece is suspended into water without touching sides of bucket from another support. The spring balance reading will

A

Remain same

B

Decrease

C

Increase

D

Increase/decrease depending on depth of immersion

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ISRO Scientist or Engineer Mechanical 2009 - Question 15

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A single-stage impulse turbine with a diameter of 120 cm runs at 3000 rpm. If the blade speed ratio is 0.42, then, the inlet velocity of steam will be

A

79 m/s

B

188 m/s

C

450 m/s

D

900 m/s

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ISRO Scientist or Engineer Mechanical 2009 - Question 16

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The critical point and triple point data for water are, $$T_c = 374^\circ C, P_c = 22.1 Mpa, T_T = 0.01^\circ C, P_T = 0.6 kPa$$ Indicate the phase change that will occur in following cases,
(i)Ice at 0.5 kPa is heated isobarically
(ii) Water vapour at $$400^\circ C$$ is compressed isothermally

A

(i) along AB, (ii) along CD

B

(i) along CD, (ii) along AB

C

(i) along OD, (ii) along PR

D

(i) along RD, (ii) along OR

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ISRO Scientist or Engineer Mechanical 2009 - Question 17

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The ratio of specific heats of a gas is 1.4 and the value of specific heat at constant pressure is $$7.0 cal/mole^\circ C$$. The difference between specific heat at constant pressure and specific heat at constant volume will be $$(in cal /mole^\circ C)$$

A

1.4

B

1.7

C

5.0

D

2.0

View Solution

ISRO Scientist or Engineer Mechanical 2009 - Question 18

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The coefficient of linear expansion of a solid is L. The volume V of a cube of this solid on being heated by $$1^\circ C$$ will change by

A

$$VL$$

B

$$3VL$$

C

$$3L$$

D

$$\frac {VL}{3}$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 19

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Two springs of equal length but having stiffness of 10 N/mm and 15 N/mm support a mass of 2 tonnes in series. Find the frequency of vibration

A

$$\frac{1}{2\pi}\sqrt{3} Hz$$

B

$$\frac{1}{2\pi}\sqrt{10} Hz$$

C

$$\frac{1}{2\pi}\sqrt{15} Hz$$

D

$$\frac{1}{2\pi}\sqrt{2} Hz$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 20

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Ratio of pitch circle diameter in millimeters to the number of teeth, is known as

A

Module

B

Circular pitch

C

Diametral pitch

D

Clearance

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ISRO Scientist or Engineer Mechanical 2009 - Question 21

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Two particles with masses in the ratio 1:4 are moving with equal kinetic energies. The magnitude of their linear momentums will conform to the ratio

A

$$1 : 8$$

B

$$1 : \sqrt{2}$$

C

$$\sqrt{2} : 1$$

D

$$1 : 2$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 22

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Whichof the following stresses are associated with the tightening of a nut on a stud?
1. Tensile stresses due to stretching of stud
2. Bending stresses of stud
3. Transverse shear stresses across threads
4. Torsional shear stresses in threads due to frictional resistance
Select the correct answer using the codes given below:

A

1,2 and 3

B

1,2 and 4

C

1,3 and 4

D

2,3 and 4

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ISRO Scientist or Engineer Mechanical 2009 - Question 23

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A flywheel weighs $$\frac{981}{\pi}kg$$ and has a radius of gyration of 100 cm. It is given a spin of 100 rpm aboutits horizontal axis. The whole assembly is rotating abouta vertical axis at 6 rad/sec. The gyroscopic couple experienced will be

A

2,000 kgm

B

19,620 kgm

C

20,000 kgm

D

1,962 kgm

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ISRO Scientist or Engineer Mechanical 2009 - Question 24

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Determine the diameter of solid shaft which will transmit 90kw at 160 rpm, if the shear stress in the shaft is limited to $$60 N/mm^2$$.

A

50 mm

B

60 mm

C

77 mm

D

70 mm

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ISRO Scientist or Engineer Mechanical 2009 - Question 25

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A roller of weight W is rolled over the wooden block shown in the given figure. The pull required just to cause the said motion is

A

$$\frac {W}{2}$$

B

$$\sqrt{3} W$$

C

$$W$$

D

$$2W$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 26

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For one-dimensional isentropic flow in a diverging passage,if the initial static pressure is $$P_1$$), and the initial Mach numberis $$M_1 (M_1 < 1),$$ then for the downstream flow

A

$$M_2 < M_1 ; P_2 < p_1$$

B

$$M_2 > M_1 ; P_2 > p_1$$

C

$$M_2 < M_1 ; P_2 > p_1$$

D

$$M_2 > M_1 ; P_2 < p_1$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 27

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Ina furnace madeof bricks,
Inside heat transfer coefficient = $$35 W/m^2 K$$
Outside heattransfér coefficient = $$25 W/m^2 K $$
Thermal conductivity of bricks (15 cm thick) = $$0. 15 W/m K$$
The overall heat transfer coefficient $$(in W/m^2 K)$$ will be closer to the

A

Inside heat transfer coefficient

B

Outside heat transfer coefficient

C

Thermal conductivity of bricks

D

Heat transfer coefficient based on the thermal conductivity of the bricks alone.

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ISRO Scientist or Engineer Mechanical 2009 - Question 28

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Two systems have the same wet bulb temperature of $$20^\circ C.$$ System ‘A’ has Dry bulb temperature of $$25^\circ C$$ since it has a relative humidity of 65%. System ‘B’ has a relative humidity of 30%. What will be its dry bulb temperature

A

$$33^\circ C.$$

B

$$25^\circ C.$$

C

$$27^ \circ C.$$

D

$$22^\circ C.$$

View Solution

ISRO Scientist or Engineer Mechanical 2009 - Question 29

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Four rods with different radii r and length l are connected to two reservoirs at different temperature. Which one of them will conduct most heat?

A

$$r = 2cm  \&  l = 2m$$

B

$$r = 1cm  \&  l = 1m$$

C

$$r = 2cm  \&  l = \frac{1}{2}m$$

D

$$r = \frac{1}{2}cm  \&  l = \frac{1}{2}m$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 30

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A 1000 kg vehicle travelling at 80 m/s impacts a plunger attached to a piston-cylinder arrangement.If all of the energy of the vehicle is absorbed by the 20 kg of liquid contained in the cylinder, what is the maximum tempcrature rise of the liquid? (The specific heat of the liquid is $$4.0 kJ/kg.^\circ C)$$

A

$$55^\circ C$$

B

$$40^\circ C$$

C

$$45^\circ C$$

D

$$50^\circ C$$

View Solution

ISRO Scientist or Engineer Mechanical 2009 - Question 31

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In the Van der Waal’s gas equation $$\left(p + \frac{a}{v^2}\right) (v - b) =RT$$ the constant ‘a’ is introduced to compensate for

A

Reductionin specific volume

B

Inter-molecular forces

C

Reduction in specific heat

D

All of the above

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ISRO Scientist or Engineer Mechanical 2009 - Question 32

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The centrifugal tension in belts

A

Increase power transmission upto certain speed and then decreases

B

Increases power transmission

C

Does not affect power transmission

D

Reduces power transmission

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ISRO Scientist or Engineer Mechanical 2009 - Question 33

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In nodular iron, graphite is in the form of

A

Spheroids

B

Nodular carbide

C

Flakes

D

Cementite

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ISRO Scientist or Engineer Mechanical 2009 - Question 34

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Corrosion resistance of steel increases by addition of

A

Vanadium, aluminium

B

Sulpher, phosphorus, lead

C

Chromium and nickel

D

Tugsten, molybdenum, vanadium, chromium

View Solution

ISRO Scientist or Engineer Mechanical 2009 - Question 35

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Phenomenon of progressive extension of material with time at constant load is called

A

Plasticity

B

Creep

C

Yield

D

Breaking

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ISRO Scientist or Engineer Mechanical 2009 - Question 36

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Rivets are made of

A

Soft material

B

Ductile material

C

Hard material

D

Brittle material

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ISRO Scientist or Engineer Mechanical 2009 - Question 37

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Addition of copper to aluminium results in

A

Precipitation hardening system

B

Corrosion resistance

C

Grain refinement

D

High machinability

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ISRO Scientist or Engineer Mechanical 2009 - Question 38

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A Hooke’s joint is used to connect two

A

Coplanar & Nonparallel shafts

B

Non coplanar & Nonparallel shafts

C

Coplanar & Parallel shafts

D

All the 3 above

View Solution

ISRO Scientist or Engineer Mechanical 2009 - Question 39

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Ina hardness test, L is load in kg, D is diameter of ball in mm and d is diameter of indentation in mm. Brinell Hardness Numberis expressed by the equation

A

$$BHN = \frac {L}{\pi D(D - \sqrt{D^2 - d^2})}$$

B

$$BHN = \frac {2L}{\pi D(D - \sqrt{D^2 - d^2})}$$

C

$$BHN = \frac {L}{\pi d(D - \sqrt{D^2 - d^2})}$$

D

$$BHN = \frac {2L}{\pi d(D - \sqrt{D^2 - d^2})}$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 40

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Circumferential and longitudinal strains in the cylindrical boiler under internal steam pressure are $$\epsilon_1 and \epsilon_2$$ respectively. Change in the volumeof the boiler cylinder per unit volumewill be

A

$$\epsilon_1 ^2 \epsilon_2$$

B

$$\epsilon_1 \epsilon_2 ^{2}$$

C

$$2\epsilon_1 + \epsilon_2$$

D

$$\epsilon_1 + 2\epsilon_2$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 41

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An overhung beam ABC of length 4m is supported at A and B 3m apart. It is loaded with UDL of 5 KN/m along its entire length. Find the value of load ‘P’ at C such that the reactions at A and B are equal and opposite.

A

P = 10 kN

B

P = 30 kN

C

P = 20 kN

D

P = 25 kN

View Solution

ISRO Scientist or Engineer Mechanical 2009 - Question 42

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If two gears have moment of inertias as $$I_1$$ and $$I_2$$ respectively and mesh with a speed ratio $$\frac{\omega_2}{\omega_1} = n,$$ then equivalent momentof inertia of both gears referred to first one is

A

$$n^2 I_1 + I_2$$

B

$$I_1 + nI_2$$

C

$$nI_1 + I_2$$

D

$$I_1 + n^2 I_2$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 43

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A uniform circular ring of mass M and radius r is rotating with an angular speed $$\omega$$ about an axis passing through its center and perpendicular to the plane of the ring.Two identical beads, each of mass m, somehow get attached at two diametrically opposite points. The rotational speed of the ring will become

A

$$\frac{\omega M}{M + 2m}$$

B

$$\frac{\omega M}{M + m}$$

C

$$\frac{2 \omega M}{M + 2m}$$

D

$$\omega$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 44

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An electric lift is moving downward with an acceleration of g/3. the vertical force between a passenger in the lift and its floor is equal to

A

$$\frac {3}{4}$$ of the passenger’s weight

B

$$\frac {2}{3}$$ of the passenger’s weight

C

Passenger’s weight

D

$$\frac {4}{3}$$ of the passenger’s weight

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ISRO Scientist or Engineer Mechanical 2009 - Question 45

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A body of mass 10kg moving with a velocity of 1 m/s is acted upon by a force of 50 N for two seconds. The final velocity of the body is

A

22 m/sec

B

1 m/sec

C

$$\sqrt{21} m/sec$$

D

11 m/sec

View Solution

ISRO Scientist or Engineer Mechanical 2009 - Question 46

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Proof resilience may be defined as

A

Work done in straining the matcrial

B

Max. strain energy that can be stored in a material per unit volume

C

Max. strain energy that can be stored in a material under clastic condition

D

Max.load which can be applied to a member

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ISRO Scientist or Engineer Mechanical 2009 - Question 47

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A plane intersects the co-ordinate axes at $$x = \frac{2}{3}, y =\frac{1}{3}, z = \frac{1}{2}.$$ Whatis the Miller index of this plane?

A

(932)

B

(432)

C

(364)

D

(423)

View Solution

ISRO Scientist or Engineer Mechanical 2009 - Question 48

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Relationship between modulus of elasticity E, modulus of rigidity G and Poisson’s ratio $$\mu$$ is

A

$$G = \frac {E}{2(1 + \mu)}$$

B

$$G = E(2 - \mu)$$

C

$$E = G (1 + \mu)$$

D

$$G = \frac {E}{1 + \mu}$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 49

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A bar of Length L, area A and Young’s modulus E is subjected to a pulling force P.The strain energy stored in the bar is

A

$${PL^2}{AE}$$

B

$${PL^2}{2EI}$$

C

$${P^2L}{2AE}$$

D

$${P^2L}{AE}$$

View Solution

ISRO Scientist or Engineer Mechanical 2009 - Question 50

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What is the expression for crippling load for a column of length L, with one end fixed and other end free?

A

$$P = \pi^2 \frac {EI}{4L^2}$$

B

$$P = \pi^2 \frac {EI}{L^2}$$

C

$$P = 2 \pi^2 \frac {EI}{L}$$

D

$$4 \pi^2 \frac {EI}{L^2}$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 51

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A Mohr’s circle reduces to a point when the body is subjected to

A

Pure shear

B

Uniaxial stress only

C

Equal & opposite axial stresses on two mutually perpendicular planes, the planes being free of shear.

D

Equal axial stresses are on two mutually perpendicular planes, the planes being free of shear.

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ISRO Scientist or Engineer Mechanical 2009 - Question 52

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Power screws are used to convert

A

Linear motion to rotary motion

B

None of these

C

Both a & b

D

Rotary motion into translatory motion

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ISRO Scientist or Engineer Mechanical 2009 - Question 53

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Following gases are used in tungsten inert gas welding

A

$$CO_2 and H_2$$

B

Argon and neon

C

Argon and helium

D

Helium and neon

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ISRO Scientist or Engineer Mechanical 2009 - Question 54

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The force required to punch a 25 mm hole ina mild steel plate 10 mm thick, when ultimate shear stress ofthe plate is $$500 N/mm^2$$ will be nearly

A

78kN

B

393kN

C

98kN

D

158kN

View Solution

ISRO Scientist or Engineer Mechanical 2009 - Question 55

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One-half length of 50mm diameter steel rod is solid while the remaining half is hollow having a bore of 5mm. The rod is subjected to equal and opposite torque at its ends. If the maximum shear stress in solid portion is $$\tau$$ the maximum shear stress in the hollow portion is:

A

$$\frac{15}{16}\tau$$

B

$$\tau$$

C

$$\frac{4}{3}\tau$$

D

$$\frac{16}{15}\tau$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 56

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Two metal plates of thickness ‘t’ & width ‘w' are joined by fillet weld of $$45^\circ$$ as shown in fig. When subjected to a pulling force 'F' the stress induced in the weld will be

A

$$\frac{F}{wt}$$

B

$$\frac{F}{wt \sin 45}$$

C

$$\frac{F \sin 45}{wt}$$

D

$$\frac{2F}{wt}$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 57

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Ring rolling is used

A

To decrease the thickness and increase diameter

B

To increase the thickness of a ring

C

For producing a seamless tube

D

For producing large cylinder

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ISRO Scientist or Engineer Mechanical 2009 - Question 58

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A barof 20mm dia is tested in tension. It is observed that when a load of 38KN is applied the extension measured over a gauge length of 200mm is 0.12mm and contraction in diameter is 0.0036mm. Find the Poisson’s ratio

A

0.2

B

0.3

C

0.25

D

0.33

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ISRO Scientist or Engineer Mechanical 2009 - Question 59

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A perfect frame has N joints. The numberof members should not be less than

A

2N - 1

B

2N - 2

C

2N - 3

D

2N - 5

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ISRO Scientist or Engineer Mechanical 2009 - Question 60

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A cantilever beam of rectangul arcross section is subjected to load at free end. If the depth of the beam is doubled and load is halved , deflection of the free end as compared to original will be

A

$$\frac{1}{2}$$

B

$$\frac{1}{8}$$

C

$$2$$

D

$$\frac{1}{16}$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 61

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The kinematic planar chain shown in the given figure is a

A

Structure

B

Mechanism with 2 degree of freedom

C

Mechanism with 1 degree of freedom

D

Mechanism with more than 2 degree of freedom

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ISRO Scientist or Engineer Mechanical 2009 - Question 62

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The machining process in which the work picce is dissolved into an electrolyte solution is called

A

Electro-chemical machining

B

Ultrasonic machining

C

Electro-discharge machining

D

Laser machining

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ISRO Scientist or Engineer Mechanical 2009 - Question 63

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In the metal forming process, the stresses encountered are |

A

Greater than yield-strength but less than ultimate strength

B

Less than yield strength of the material

C

Greater than the ultimate strength of the material

D

Less than the elastic limit

View Solution

ISRO Scientist or Engineer Mechanical 2009 - Question 64

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A grinding wheel is specified as 49 A 26 36 M 7 V 24. The number36 stands for

A

Structure

B

Grade

C

Grit size

D

Bond

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ISRO Scientist or Engineer Mechanical 2009 - Question 65

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In a fluid machinery, the relationship between saturation temperature and pressure decides the process of

A

Flow separation

B

Cavitation

C

Turbulent mixing

D

Water hammer

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ISRO Scientist or Engineer Mechanical 2009 - Question 66

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Anodising is

A

A process of coating of zinc by hot dipping

B

A zinc diffusion process

C

A process used for making thin phosphate coatings on steel to act as a base or primer for enamels and paints

D

An oxidizing process used for aluminium and magnesium articles

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ISRO Scientist or Engineer Mechanical 2009 - Question 67

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The process layout is best suited where

A

Automation is employed

B

Mass production is envisaged

C

A few numberof non-standardized units are to be produced

D

Machines are arranged according to sequence of operation

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ISRO Scientist or Engineer Mechanical 2009 - Question 68

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The blank size of the gear of 3 mm module and 40 number of teeth is

A

120 mm

B

123 mm

C

126 mm

D

129 mm

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ISRO Scientist or Engineer Mechanical 2009 - Question 69

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A bag contains 7 white, 6 red and 9 black balls. Two balls are drawn at random. The probability that both the balls will be black is

A

$$\frac{1}{11}$$

B

$$\frac{12}{77}$$

C

$$\frac{5}{77}$$

D

$$\frac{9}{77}$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 70

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Match list - I (Machining Process) with list —II (Associated medium) and select the correct answer using the codes given below the lists

A

A-2, B-1, C-4, D-3

B

A-2, B-3, C-4, D-1

C

A-4, B-1, C-2, D-3

D

A-4, B-3, C-2, D-1

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ISRO Scientist or Engineer Mechanical 2009 - Question 71

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The rake angle of a cutting tool is $$15^\circ$$, shear angle $$45^\circ$$ and cutting velocity 35 m/min. Whatis the velocity of chip along the tool face?

A

25.3 m/min

B

27.3 m/min

C

28.5 m/min

D

23.5 m/min

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ISRO Scientist or Engineer Mechanical 2009 - Question 72

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The value of the determinant given below is

A

-abc

B

abc

C

1

D

0

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ISRO Scientist or Engineer Mechanical 2009 - Question 73

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The locus of the point Z satisfying the condition $$arg \frac{z - 1}{z + 1} = \frac {\pi}{3}$$ is

A

$$x^2 - y^2 - 2 \sqrt {3} y = 0$$

B

$$x^2 + y^2 = 1$$

C

$$x^2 - y^2 - 2 \sqrt {3} y - 1 = 0$$

D

$$x^2 + y^2 - 2 \sqrt {3} y - 1 = 0$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 74

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In a simple micrometer with screw pitch 0.5 mm and divisions on thimble 50, the reading corresponding to 5 divisions on barrel and 12 divisions on thimble is

A

2.620 mm

B

2.512 mm

C

5.120 mm

D

5.012 mm

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ISRO Scientist or Engineer Mechanical 2009 - Question 75

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It is required to cut screw threads of 2mm pitch on a lathe. The lead screw has a pitch of 6 mm. If the spindle speed is 60 rpm, then the speed of the lead screw will be

A

10 rpm

B

20 rpm

C

120 rpm

D

180 rpm

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ISRO Scientist or Engineer Mechanical 2009 - Question 76

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If $$u = \log(\tan x + \tan y),$$ then $$\sin 2x \frac{\partial u}{\partial x} + \sin 2y \frac{\partial u}{\partial y}$$ is

A

1

B

-2

C

2

D

-1

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ISRO Scientist or Engineer Mechanical 2009 - Question 77

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The value of $$\lambda$$ for which the equations $$2 \lambda x - 3y + \lambda - 3 = 0, 3x - 2y + 1 = 0$$ and $$4x - \lambda y + 2 = 0$$ are consistent is

A

3 or 6

B

1 or 3

C

2 or 6

D

2 or 3

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ISRO Scientist or Engineer Mechanical 2009 - Question 78

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If $$\overline{a} + \overline{b} + \overline{c} = 0$$ and $$|\overline{a}| = 3, |\overline{b}| = 5, |\overline{c}| = 7,$$ then the angle between $$\overline{a}$$ and $$\overline{b}$$ is

A

$$45^\circ$$

B

$$30^\circ$$

C

$$90^\circ$$

D

$$60^\circ$$

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ISRO Scientist or Engineer Mechanical 2009 - Question 79

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The image of the point P(1,3,4) in the plane 2x - y + z = -3 is

A

(-3, 5, -2)

B

(-3, -5, 2)

C

(3, -5, -2)

D

(-3, 5, 2)

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ISRO Scientist or Engineer Mechanical 2009 - Question 80

Report

Find a particular integral of the differential equation $$(D^2 - 4D + 3)y = \sin 3x \cos 2x$$

A

$$\frac{1}{20}(10 \cos5x - 11\sin5x) + \frac{1}{884}(\sin x - 2\cos x)$$

B

$$\frac{1}{884}(10 \cos5x - 11\sin5x) + \frac{1}{20}(\sin x + 2\cos x)$$

C

$$\frac{1}{20}(10 \cos5x - 11\sin5x) + \frac{1}{884}(\sin x + 2\cos x)$$

D

$$\frac{1}{884}(10 \cos5x + 11\sin5x) + \frac{1}{20}(\sin x + 2\cos x)$$

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