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- Question 1 of 15
With initial condition x(1) = 0.5 , the solution of the differential equation,
t (dx/dt) + x = t isCorrectIncorrect
- Question 2 of 15
Two independent random variables X and Y are uniformly distributed in the interval [–1, 1]. The probability that max[X, Y] is less than 1 2 isCorrectIncorrect
- Question 3 of 15
The unilateral Laplace transform of f(t) is 1/(s*s+s+1) The unilateral transform of t f(t) isCorrectIncorrect
- Question 4 of 15
The average power delivered to an impedance (4 – j3) ohm by a current 5cos(100 pi t +100) A isCorrectIncorrect
- Question 5 of 15
A system with transfer function
G(s) = [(s*s +9)(s+2)] / [(s+1)(s+3)(s+4)]
is excited by sin(wt).The steady state output of the system is zero atCorrectIncorrect
- Question 6 of 15
The output Y of a 2-bit comparator is logic 1 whenever the 2-bit input A is greater than the 2-bit input B. The number of combinations for which the output is logic 1, isCorrectIncorrect
- Question 7 of 15
A psychrometric chart is used to determineCorrectIncorrect
- Question 8 of 15
An LED emitting at 1 um with a spectral width of 50 nm is used in a Michelson interferometer. To obtain a sustained interference, the maximum optical path difference between the two arms of the interferometer isCorrectIncorrect
- Question 9 of 15
Light of wavelength 630 nm in vacuum, falling normally on a biological specimen of thickness 10 um, splits into two beams that are polarized at right angles. The refractive index of the tissue for the two polarizations are 1.32 and 1.333. When the two beams emerge, they are out of phase byCorrectIncorrect
- Question 10 of 15
The bridge method commonly used for finding mutual inductance isCorrectIncorrect
- Question 11 of 15
A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd, isCorrectIncorrect
- Question 12 of 15
The maximum value of f(x) = x3-9×2+24x+5 in the interval [1, 6] is (where number after x denote power like x3 is x cube)CorrectIncorrect
- Question 13 of 15
The Fourier transform of a signal h(t) is H( jw) = (2cosw)(sin2w) /w . The value of h(0) isCorrectIncorrect
- Question 14 of 15
Let y[n] denote the convolution of h[n] and g[n], where h[n] (1/2) (to the power n) u[n] and g[n] is a causal sequence. If y = 1 and y = 1/2, then g equalsCorrectIncorrect
- Question 15 of 15
A double convex lens is used to couple a laser beam of diameter 5 mm into an optical fiber with a numerical aperture of 0.5. The minimum focal length of the lens that should be used in order to focus the entire beam into the fiber isCorrectIncorrect