BSNL TTA EXAM 2008 PAPER

BSNL TTA EXAM 2008 PAPER


1. If the matrix A = is singular, then ? =a) 3 b) 4 c) 2 d) 5
2. A = is symmetric, then x =a) 3 b) 4 c) 2 d) 5
3. If A is a 3 x 3 matrix and det(3 A) = k det(A) then k =a) 9 b) 6 c) 1 d) 27
4. If A = , then A-1 =a) b) c) d)
5. If A = then A2 is equal toa) A b) –A c) Null Matrix d) I
6. is aa) rectangular matrix b) singular matrixb) non-singular matrix d) skew-symmetric matrix
7. The slope of the straight line whose inclination with negative x-axis is 120º isa) b) c) 1 d) infinity
8. If two lines whose slopes are m1 and m2 are perpendicular iffa) m1 = m2 b) m1m2 = 0 c) m1m2 = -1 d) m1 + m2 = -1
9. The rate of increase of the radius of a circle is 1 cm/sec, the rate of increase of its area is 4? cm2/sec at a particular instant. The radius at that instant isa) 2 cm b) 3 cm c) 4 cm d) 6 cm
10.If the side of a square is increasing at the rate of 0.02 cm/min, the rate at which its area is increasing at the instant when the length of the side is 5 cm isa) 0.2 cm 2/min b) 0.4 cm 2/min c) 0.1 cm 2/min d) 0.6 cm 2/min
11.A particle is moving on a plane according to the distance-time relationship is given by s = t3 + 6t2 + 8t – 4. When its acceleration is 8 m/sec2, its velocity isa) 8 m/sec b) 11 m/sec c) 23 m/sec d) -1 m/sec
12.A stone moves vertically upwards according to the distance-time equation s = 16t – 2t2.The greatest height reached by the stone isa) 4 b) 64 c) 32 d) 96
13.The distance moved by a particle traveling in a straight line in t seconds is given by s = 45t + 11t2 – t3. The time taken by the particle to come to rest isa) 9 sec b) 5 sec c) 3 sec d) 2 sec
14.The distance s described by a particle in time t is given by the relation s = aet + be-t. The acceleration is equal toa) velocity b) the distance traveledc) twice the distance traveled d) the square of the distance traveled
15.The slope of the normal to the curve y = at the point isa) 9 b) -9 c) d)
17.The normal to the curve y = f(x) will be parallel to x-axis ifa) b) c) d)
18.The maximum point of the function 2×3 – 9×2 + 12x isa) x = 0 b) x = 5 c) x = 1 d) x = 2
19.The minimum value of 2×3 – 9×2 + 12x – 4 isa) 1 b) 3 c) 0 d) -2
20.The point of inflection of the function x3 – 3×2 + 3x isa) (1,0) b) (1,1) c) (6,126) d) (-1,-7)
21.Velocity of sound is greatest ina) Solids b) Liquids c) Gases d) None of these
22.If the phase difference between the two waves is 2? during superimposition, then the resultant amplitude isa) Maximum b) Minimum c) Half of maximum d) None of these
23.If two waves of same frequency and same amplitude on superimposition produce a resultant disturbance of the same amplitude, the wave differ in phase bya) b) c) d)
24.The equation of a plane progressive wave is given by y = 2sin?(0.5x – 200t) where x and y are expressed in cm and t in sec. The wave velocity isa) 400 cm/sec b) 300 cm/sec c) 200 cm/sec d) 100 cm/sec
25.Equation of a plane progressive wave is given by y = 0.2 cos ?(0.04t + 0.02x – 1/6). The distance is expressed in cm and time in sec. The minimum distance between two particles separated by phase difference ?/2 is radian isa) 25 cm b) 12.5 cm c) 8 cm d) 4 cm
26.Ultrasonic waves are those waves whicha) Human being can hear b) Human being cannot hearc) Have high velocity d) Have large amplitude
27.It is possible to distinguish between the transverse and longitudinal waves by studying the property ofa) Interference b) Polarization c) Diffraction d) Reflection
28.The following phenomenon cannot be observed for sound wavesa) Refraction b) Polarization c) Diffraction d) Reflection
29.Doppler shift in frequency does not depend upona) Frequency of the wave produced b) Velocity of the sourcec) Velocity of the listener/observer d) Distance between source and listener
30.A source of sound of frequency 450 cycles/second is moving towards a stationary observer with 34 m/s speed. If the speed of sound is 340 m/s then the apparent frequency will bea) 410 cps b) 550 cps c) 500 cps d) 450 cps
31.An observer moves towards a stationary source of sound of frequency n. The apparent frequency heard by him is 2n. If the velocity of sound in air is 332 m/s, then the velocity of observer isa) 166 m/s b) 664 m/s c) 332 m/s d) 1328 m/s
32.The equation of a wave traveling in a string can be written as y = 3 cos ?(100t – x).Its wavelength isa) 100 cm b) 5 cm c) 3 cm d) 2 cm
33.Sound velocity is maximum ina) O2 b) H2 c) He d) N2
34.Phon is the unit ofa) Pitch b) Quality c) Timbre d) Loudness
35.Loudness of sound L and corresponding intensity of sound I are related asa) L = KI2 b) L = KI c) L = K d) L = K log I
36.The index of refraction of a medium is 1.5. If the speed of light in air is 3 x 108 m/s, then its speed in the medium will bea) 2 x 108 m/s b) 1.2 x 108 m/s c) 4 x 108 m/s d) 3.2 x 108 m/s
37.The ratio of intensities of the two waves is given by 4:1. The ratio of amplitudes of two waves isa) 2:1 b) 1:2 c) 4:1 d) 1:4
38.Two source of waves are called coherent ifa) Both have the same amplitude by vibrationsb) Both produce waves of different wavelength having constant phase differencec) Both produce waves of same wavelength having constant phase differenced) Both produce waves having the same velocity
39.Which of the following does not support the wave nature of light?a) Interference b) Diffraction c) Polarization d) Photoelectric effect
40.Velocity of light will be minimum ina) Vacuum b) Air c) Water d) Glass
41.Wavelength of light of frequency 100 Hz isa) 2 x 106 m/s b) 3 x 106 m/s c) 4 x 106 m/s d) 5 x 106 m/s
42.A rocket is going away from earth at a speed of 106 m/s. If the wavelength of the light wave emitted by it be 5700 Å, its Doppler’s shift will bea) 200 Å b) 19 Å c) 20 Å d) 0.2 Å
43.Colour of light is known by itsa) Velocity b) Amplitude c) Frequency d) Polarization
44.A rocket is going away from the earth at a speed 0.2c where c = Speed of light. It emits a signal of frequency 4 x 107 Hz. The frequency observed by an observer on the earth will bea) 4 x 106 Hz b) 3.3 x 106 Hz c) 3 x 106 Hz d) 5 x 107 Hz
45.A light wave has a frequency of 4 x 1014 Hz and a wavelength of 5 x 10-7 m in a medium. The refractive index of the medium isa) 1.5 b) 1.33 c) 1.0 d) 0.66
46.Stars are twinkling due to optical phenomenon ofa) Refraction b) Scattering c) Reflection d) Diffraction
47.The splitting of white light into several colours on passing through a glass prism is due toa) Refraction b) Reflection c) Interference d) Diffraction
48.In Bohr’s model, if the atomic radius of the first orbit is ro, then the radius of the fourth orbit isa) 16 ro b) ro c) 4 ro d) ro/16
49.The average binding energy per nucleon in the nucleus of an atom is approximatelya) 8 eV b) 8 MeV c) 8 KeV d) 8 Volt
50.The mass equivalent of 931 MeV energy isa) 1.66 x 10-20 kg b) 1.66 x 10-27 kgc) 6.02 x 10-24 kg d) 6.02 x 10-27 kg
51.The energy equivalent to 1 a.m.u. isa) 931 MeV b) 931 eV c) 931 KeV d) 9.31 MeV
52.The ratio of kinetic energy and total energy of an electron in a Bohr orbit isa) + 2 b) – 1 c) + 1 d) – 2
53.The size of an atom is of the order ofa) 1 Å b) 1 fermi c) 1 nm b) 1 micron
54.The mass defect per nucleon is calleda) Packing fraction b) Binding Energyc) Ionization Energy d) Excitation Energy
55.Nuclear Binding Energy is equal toa) Mass of Nucleus b) Mass defect of Nucleusc) Mass of Proton d) Mass of Neutron
56.The Pfund series of Hydrogen spectrum lies in the region\a) Infrared b) Visible c) Ultraviolet d) X-Ray
57.The number of neutrons in 92U238 isa) 92 b) 238 c) 330 d) 146
58.The energy required to remove an electron in a hydrogen atom from n = 10 state isa) 136.0 eV b) 13.60 eV c) 1.36 eV d) 0.136 eV
59.The angular momentum of electron in nth orbit is given bya) b) c) d)
60.The rest energy of an electron isa) 510 MeV b) 51 MeV c) 931 MeV d) 93.1 MeV
61.In the lowest energy level of hydrogen atom, the electron has the angular momentuma) ?/h b) h/? c) h/2? d) 2?/h
62.Laser is working in the principle ofa) Stimulated emission of radiation b) Spontaneous emission of radiationc) Population inversion d) Normal population
63.The output beam of Ruby Laser has the wavelength ofa) 6943 Å b) 6328 Å c) 6300 Å d) 5500 Å
64.In the He-Ne Laser , the He-Ne in the mixture ofa) 10:1 b) 2:1 c) 4:1 d) 5:1
65.The full form of LIDAR isa) Light Amplitude and Rangingb) Light Detection and Rangingc) Light Defect and Rangingd) Laser Detection and Ranging
66.Which one of the following is solid state laser?a) Nd:YAG Laser b) He-Ne Laser c) CO2 Laser d) GaAs Laser
67.Populaton Inversion is achieved by means ofa) Optical pumping b) Gas pumpingc) Mechanical pumping d) Solid pumping
68.GRASERS area) Galium Arsenide Lasers b) Gamma Ray Lasersc) General Ranging Lasers d) Gallium Radium Lasers
69.LASER Beam isa) Highly monochromatic b) Highly Intensec) Highly Coherent d) All of the above
70.Which one of the following cannot be used as a pulsed device?a) CFA b) BWO c) TWT d) Magnetron
71.Klystron works in the principle ofa) Velocity Modulation b) Amplitude Modulationc) Frequency Modulation d) Phase Modulation
72.Strapping in Magnetron is used toa) prevent mode jumping b) ensure bunchingc) improve the phase focusing effect d) prevent cathode back heating
73.Which is not a TWT slow wave structurea) Coupled cavity b) helix c) ring bars d) periodic permanent magnet
74.30 to 300 MHz frequency range is categorized asa) MF b) VHF c) UHF d) SHF
75.Find the centre of the circle whose two extremities of diameter are (2,3) & (4,-1) isa) (3,1) b) (6,8) c) (3,-2) d) (-6,8)
76.The centre and radius of the circle x2+y2+4x–6y+2=0 area) (-2,3) & 5 b) (-2,3) & 5 c) (2,-3) & 5 d) (2,-3) & 2
77.The angle between the straight lines x + 2y -3 = 0 & 2x + 4y -4 = 0 isa) ? = 90º b) ? = 60º c) ? = 0º d) ? = 45º
78.The condition for the pair of straight lines ax2+2xy+by2+2x+2y+3=0 to be perpendicular isa) h2–ab = 0 b) ab = 2 c) a+b = 0 d) a-b = 0
79.The particular integral of +3 + 2y = 2e-x isa) 2xe-x b) 2e-x c) x2e-x d) xe-x
80.The particular integral of +4 + 4y = 3sin2x isa) – cos2x b) cos2x c) sin2x d) 3xcos2x
81.The complementary function of (D2+3)y = e-x isa) Ae x + Be x b) (A+Bx) e xc) A cos3x + B sin3x d) A cos x + B sin x
82.The solution of (D2-2D-15)y = 0 isa) y = Ae3x + Be5x b) y = Ae-3x + Be-5xc) y = Ae5x + Be-3x d) y = Ae-5x + Be3x
83.The particular integral of + y = 3 isa) 3 b) x/3 c) 3/y d) -3
84.The area bounded by x2 = 2y, the x-axis and the lines x = 1 and x = 3 isa) b) c) d)
85.The area of the curve y = sin x bounded by the x-axis from x = 0 to x = 2? isa) 0.5 b) 1.0 c) 1.5 d) 2.0
86.The area enclosed by the curve xy = 8 and x-axis from x = 1 to x = 4 isa) 8 log 2 b) 16 log 2 c) 4 log 2 d) 2 log 4
87.The area bounded by the curve x = 3y2 – 9 and the lines x = 0, y = 0 and y = 1 isa) 8 b) c) d) 3
88.When the area enclosed by the curve y = and the x-axis from x = 0 and x = 4 is rotated about the x-axis, the volume generated isa) b) c) d)
89.The area included between the curve y = x – x2 and the x-axis revolves about the x-axis. The volume generated by the area isa) b) c) d)
90.If the area enclosed between the curve y2 = x3 + 5x and the x-axis from x = 2 to x = 4 is revolved about the x-axis, the volume of the solid generated isa) 45? b) 90? c) 120? d) 60?
91.a) 12 b) 0 c) 6 d) 18
92. =a) sin-1x b) cos-1x c) tan-1x c) cot-1x
93.a) log f(x) b) 2 c) f(x) d) f(x)/294.a) sec x b) tan x c) cos x d) cot x
95.The acceleration of a particle at any time t is given by 3×2 – 2x + 1, then the velocity of the particle at any time isa) x3 -2x 2 + x b) x3 -x 2 + x c) x 2 + x d) x 2 + x +1
96.The Laplace transform of f(t) = t2 e-3t isa) b) c) d)
97.The Laplace transform of f(t) = 1 + cos2t isa) b) c) d)
98.The Laplace transform of unit step function isa) b) c) 1 d)
99.The initial value of the function F(S) =a) 1 b) 0 c) 2 d)
100.The inverse Laplace transform of isa) e-t b) 1-e-t c) 1- et d) 2(1+ e-t)
101.The inverse Laplace transform of isa) et cos2t b) et sin2t c) e-t cos2t d) e-t sin2t
102.(1+i)3 is equal toa) 3 + 3i b) 1 + 3i c) 3 – 3i d) 2i – 2
103.The value of i13+i14+i15+i16 isa) 0 b) -1 c) i d) –i
104. The polar form of complex number -1- i isa) 2(cos + i sin ) b) 2(cos + i sin )b) 2(cos – i sin ) d) 2(cos + i sin )
105.The modulus of a complex number isa) b) 2 c) 1 d)
106.The value of (3+?+3?2)4 isa) 16 b) 16 ? c) -16 ? d) 0
107.The value of isa) cos 2? + i sin 2? b) cos ? + i sin ?c) cos ? – i sin ? d) cos 26? + i sin 26?
108.The value of the fourier coefficient bn for the function f(x) = cosx defined in (-?, ?) isa) 0 b) 1 c) ? d) -2 ?
109. The value of the fourier coefficient a0 for the half range series for f(x) defined in (0, ?) isa) a0 = b) a0 =c) a0 = d) 0
110.The value of the fourier coefficient an for the function f(x) is odd isa) 0 b) an =c) an= d) a0 =
111.The value of the fourier coefficient bn for the function f(x) is even isa) 0 b) bn =c) bn = d) bn =
112.If u = exy then xa) u b) u logeu c) logeu d) ueu
113.If u = then the value of isa) b) 0 c) x+y d) -1114.If u = sin-1 , then the value of isa) b) c) d)
115.If u = xy, then isa) y/x b) xyx-1 c) yxy-1 d) xy-1
116. Given = = 6 and . = 18, the angle between and isa) b) c) d)
117.( – ) x ( + ) =a) 2 x b) x c) 2 x d) 2 – 2
118.The volume of the parallelepiped whose three coterminous edges are represented by the vectors + , + , + isa) 2 b) 3 c) 4 d) 1
119.The value of p such that the vectors -2 + 3 , 4 +3 – and 11 +p + 7 are coplanar isa) -7 b) 0 c) -12 d) 12
120.Reverberation of sound meansa) existence of sound in a roomb) vibration of sound wavesc) existence of sound eventhough the source of sound is cutoffd) strong echoes
121.Ultrasonic waves can be produced bya) Piezo-electric effect b) Inverse Piezo-electric effectc) Magnetostriction effect d) Both b & c
122.The Sabine’s formula for reverberation time isa) T = b) T =c) T = d) T = 0.16 aAS