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51.

Find current i.

Answer» The given circuit can be compared with Wheatstone's Bridge ∴Req = (10 + 10 + 10) || (10 + 10 + 10) = 30 || 30 = 15 Ω .
52.

Consider a system with the transfer function . Its damping ratio will be 0.5 when the value of is :

Answer» ξ = 0.5, We take second term only .
53.

For the system with given characteristic equation + 4 + 8 + 8 + 7 + 4 = 0 The number of roots on left hand side, right hand side and imaginary axis are respectively.

Answer» Apply Routh Hurwitz criteria.
54.

A lossless 50 Ω transmission line is terminated 30 + 25 Ω, then voltage reflection coefficient and current reflection coefficient are

Answer» Voltage reflection coefficient Current reflection coefficient : ri = - rv = + 10.36 ∠111.296.
55.

Find value of i

Answer» The given circuit can be compared to a Wheatstone's Bridge. This bridge is balanced. ∴ Req = (10 + 10) || (20 + 20) = 20 || 40 = 13.33 Ω ∴ .
56.

Find the electric charge required on the earth and moon to balance their gravitational attraction if the charge on the earth is 12.5 times that on the moon.Mass of moon = 6.7 x 10 KMass of earth = 6 x 10 KDistance between moon and earth = 380 KUniversal gravitational constant = 6.7 x 10 N/K

Answer» Using law of gravitations, the force between two point masses is F = M1 = mass of moon = 6.7 x 1022 kg M2 = mass of earth = 6 x 1024 kg r = distance between masses = 380 km G = universal gravitational constant = 6.7 x 10- 11 Nm2/Kg2 Let Q1 and Q2 be the charge on moon and earth respectively. Now the gravitational force must be balanced by the force of repulsion. Q1Q2 = 4pε0M1M2G but Q2 = 12.5Q1 = 12.5 x 4pω0M1M2G ∴ Q2 = 6.11 x 1014 Q2 = 61.11 TC Q1 = 4.89 TC.
57.

When () is real then the Fourier series coefficients are correlated as __________ .

Answer» a-k = a*k for all values of k. In fact, this equality holds whenever x[n] is real.
58.

The electric field of 2.5 x 10 V/m can give 1 eV energy to condition electron, then in a copper block what will be the mean free path of electron?

Answer» The force on electron in eE. As the electron moves through distance d , the work done on it is eEd. This is equal to energy transferred to electron. ∴ eEd = 1 eV ∴ d = 4 x 10-7m.
59.

25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is:

Answer» Representing the given information in the Venn diagrams, we have Let the number of people who play only hockey = a The number of people who play only football = b Now, a = n(H) - 10 = 15 - 10 = 5 b = n(F) - 10 = 17 - 10 = 7 Clearly, a + b + 10 + n = 25 ⇒ n = 25 - 7 - 5 -10 ⇒ n = 3 ∴ The number of people who do not play neither Hockey nor Football is 3.
60.

The transfer function of a system is . For a unit-step input to the system the approximate setting time for 2% criterion is :

Answer» ξωn = 1 for 2% = 4 sec.
61.

The Nyquist sampling interval, for the signal sine (700) + sine (500) is

Answer» g(t) = sinc (700t) + sinc (500t) g(t) is band-limited with fM = 350 Hz. Hence the Nyquist rate will be 700 Hz. Then Nyquist interval is sec.
62.

In the circuit shown, the device connected to Y5 can have address in the range

Answer»
63.

The resonant frequency of the circuit shown in figure is,

Answer» Leq = L1 + L2 + 2M Leq = 1 + 2 + 2 x = 4 H ∴ .
64.

A short grounded vertical antenna has a length L which is 0.05λ at frequency . If its radiation resistance at is R ohms, then its radiation resistance at a frequency 2 will be

Answer» Rr = 80p2 ∴ Rr ∝ f2.
65.

A fair coil is tossed 10 times. What is the probability that ONLY the first two tosses will yield heads?

Answer» Use ncr, (p)r (q)n-r [for any two losses yield head]. But in present case it is required case it is only for first two tosses. Thus in this case 10 times.
66.

The equation sin () = 10 has

Answer» Since value lies between - 1 and + 1. Therefore no real or complex solution exists.
67.

Given If , then the value of K is

Answer» .
68.

Consider the Schmitt trigger circuit shown below. A triangular wave which goes from - 12 V to 12 V is applied to the inverting input of the op-amp. Assume that the output of the op-amp moves from +15 V to -15 V. The voltage at the non-inverting switches between

Answer» V0 is switching between + 15 to - 150 Thus voltage at non-inverting input switches between , 7.5 to - 7.5 .
69.

Determine the potential difference between the points A and B in the steady state

Answer»
70.

The equation for loop currents I and I are __________

Answer» k = 0.8 ∴ M = kL1L2 = 0.83 x 2 = 1.95 H Apply KVL to loop 1 200∠0° = (j5 + 5 + j2 - j3)I1 + 1.95I2 ∴ 200∠0° = (5 + j4)I1 + j1.95I2 Apply KVL to loop 2 0 = (5 + 3 + j3)I2 + j1.95I1 0 = (8 + j3)I2 + j1.95I1 0 = j1.95I1 + (8 + j3)I2 ∴ The loop equations in matrix form are
71.

A power of 100 W is radiated from an isotropic radiator. The power radiated peer unit solid angle and the power density at a distance of 10 km from the antenna is respectively

Answer» .
72.

It is desired to design a phase shift oscillator using an FET having a = 5000 μSiemen, = 40 Ω and feedback circuit value of R = 10 K. Then value of C for oscillator operation at 1 H and that of for A = 40 to ensure oscillator action are

Answer» For a FET oscillator, the oscillator frequency is ∴ C = 6.4 nF For FET Oscillator, |A| = gmRL = 5000 x 10-6 RL i.e., 40 = 5000 x 10-6 x RL ∴ = 8 KΩ Now, Using RL = 8 K and rd = 40 K (given) We find RD as follows: ∴ ∴ = 10 K RD = 10 K.
73.

Find the value of K and velocity constant K so that the maximum overshoot in the unit step response is 0.2 and the peak time is 1 sec.

Answer» ζ2 = 0.259(1 - ζ2) = 0.259 - 0.259ζ2 1.259ζ2 = 0.259 ζ2 = 0.206 ζ = 0.45 ω2n = K ∴ ωn = K and 2ζωn = 1 + KKv ∴ ωn = K K = ω2n K = 12.37 1 + 12.37Kv = 2 x 0.45 x 3.52 Kv = 0.175 .
74.

His rather casual remarks on politics __________ his lack of seriousness about the subject.

Answer» The key words in the statement are 'casual remarks' and 'lack of seriousness'. The blank should be filled with a word meaning 'showed' or 'revealed'. Hence, 'betrayed' is the correct answer.
75.

A ramp input applied to a unity feedback system results in 5% steady state error. The type number and zero frequency gain of the system are respectively.

Answer» ess = 5% ⇒ .05 .
76.

The resolution of a 4 bit counting ADC is 0.5 volts. For an analog input of 6.6 volts, the digital output of the ADC will be

Answer» Resolution = ⇒ = 0.5 2n = 14 = (1110) n = 4 bits.
77.

The circuit given below is:

Answer» The given circuit is Band pass filter .
78.

Rank of the matrix:

Answer» The given matrix is equivalent to , Thus rank is 1.
79.

The ratio of the diffusion coefficient in a semiconductor has the units

Answer» .
80.

Consider the probability density = where is a random variable whose allowable values range from = - ∞ to = + ∞. P(1 ≤ ≤ 2)

Answer» P(x) = ae-b|x|dx to get apply aebxdx + ae-bxdx, we get = .
81.

The amplitude of a pair of composite sinusoidal signal() = () + () with () = sin (5) () = sin (5) is __________ .

Answer» Amplitude = .
82.

A -channel JFET has I = 2 A, Gate to source voltage V = - 2 V and trans-conductance is 0.5 W then pinch-off voltage is __________ .

Answer» ∴ ∴ = - 8VP - 16 ∴ + 8VP + 16 = 0 ∴ (VP + 4)2 = 0 ∴ VP = -4 V.
83.

In the circuit shown, in switch S is open for a long time and is closed at = 0. The current () for ≥ 0 is

Answer» i(f) = 0.5, i(i) = 0.75 i(t) = Vr + (ii - ij)e-1/p = 0.5 - 0.125e-1000t .
84.

In a semiconductor material. The hole concentration is found to be 2 x 2.5 x 10 . If mobility of carriers is 0.13 / . Then find the current density if electric field intensity is 3.62 x 10

Answer» Current density J = σE Where σ = conductivity Given -> μ = 0.13 m2/v-s = 0.13 x 104 cm2/V sec P = 2.25 x 1015/cm3 We have, ∴ ni = 1.5 x 1010 Also n.p. = ∴ n = /p = (1.6 x 10-19 x 0.13 x 104 x 2.25 x 1015) x = (0.468) (4.5 x 1015) σ = 2.106 x 1015 μ/cm J = σE ∴ Current density = 2.106 x 1015 x 3.620 x 10-19 = 7.6237 x 10-4 A/m2.
85.

What is the propagation constant for air filled wave guide with dimensions = 1.59" and = 0.795" at 4.95 GHz?

Answer» Here, a = 1.59'' = 40.386 mm = 4.04 cm ∴ .
86.

If () = then (0) is __________ (where ()⇔ ()

Answer» The signal g(t) given above is a Gaussian pulse, and it satisfies the relation. Therefore, its fourier transform is same as the signal itself in frequency domain. i.e. G(f) = e-pf2 Hence G(f)|f = 0 = e-p(0) = 1.
87.

The open loop transfer function of a unity feedback system is: The range of K for which the system is stable is

Answer» Apply R-H.
88.

A discrete time linear shift-invariant system has an impulse response [] with [0] = 1, h[1] = - 1, [2] - 2, and zero otherwise. The system is given an input sequence [] with [0] - [2] - 1, and zero otherwise. The number of nonzero samples in the output sequence [], and the value of [2] are, respectively

Answer» Use convolution to get the result.
89.

If we manage to __________ our natural resources, we would leave a better planet for our children.

Answer» The clue in this sentence is 'If we manage to __________ our natural resources' and 'better planet'. This implies that the blank should be filled by a word which means 'preserve' or 'keep for long time'. Therefore the word 'conserve' is the right answer.
90.

(2) + (3) = (?)

Answer» (2)3 + (3)4 = 2 + 3 = 5 and (10)5 = 51 + 0 = 5 ∴ (2)3 + (3)4 = (10)5 .
91.

A transmission line has a characteristic impedance of 50 Ω and a resistance of 0.1 Ω/m, if the line is distortion less, the attenuation constant (in Np/m) is

Answer» Distortion less a = RG and Z0 = RG → .
92.

A certain 8 bit uniform quantization PCM system can accommodate a signal ranging from - 1 V to + V. The rms value of the signal is V . The signal to quantization noise ratio is:

Answer» (SNR)dB = 1.76 + 6.02n n = 8 Thus (SNR)dB = 1.76 + 6.02 x 8 = 49.92 dB.
93.

A rectangular waveguide, in dominant TE mode, has dimensions 10 x 15 . The cut off frequency is

Answer» For TE10 mode
94.

A radar receiver has a noise figure of 10 dB at 300 K having a bandwidth of 2.5 MHz. The minimum power it can receive is

Answer» Pm = kT0Δf(F - 1) = 93.15 x 10-15 W.
95.

The circuit is shown in figure. The current transfer ratio , is

Answer» .
96.

Let (A, B) = A ⊕ B; then the simplified form of the function (( ⊕ , )) is

Answer» f(A, B) = A ⊕ B f(x ⊕ y, z) = (x ⊕ y ⊕ z) = M But f(MW) is undefined.
97.

A system has 12 poles or 2 zeros. Its high frequency asymptote in its magnitude plot has slope of

Answer» High frequency asymptotes = - 20(12) + 2(20) = - 200 dB/DECADE.
98.

The maximum percent overshoot with maximum value of first overshoot as 3.5 V and steady state value as 2.575 V is

Answer» From the transient response characteristics, Maximum percentage overshoot (MPO) is given as MPO decides the relative stability of the system.
99.

An XOR gate with 8 variable is as follows: A ⊕ B ⊕ C ⊕ D ⊕ E ⊕ F ⊕ G ⊕ HThe number of minterms in the Boolean expression is

Answer» .
100.

The figure shown below is designed to act as a constant current source across the load resistor. The β of transistor is 50. What is the value of load current?

Answer» Voltage at base = 12 - 5 = 7 v Voltage at emitter = 7 + 0.7 = 7.7 v Current through R1 = 2 mA Thus current through load = = 1.96 mA.