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Q. Two periodic signals 𝑥(𝑡) and 𝑦(𝑡) have the same fundamental period of 3 seconds. Consider the signal 𝑧(𝑡) = 𝑥(−𝑡) + 𝑦(2𝑡 + 1). The fundamental period of 𝑧(𝑡) in seconds is (A) 1 (B) 1.5 (C) 2 (D) 3 Ans: 3 Sol: ...
READ MORE +Q. Two periodic signals 𝑥(𝑡) and 𝑦(𝑡) have the same fundamental period of 3 seconds. Consider the signal 𝑧(𝑡) = 𝑥(−𝑡) + 𝑦(2𝑡 + 1). The fundamental period of 𝑧(𝑡) in seconds is (A) 1 (B) 1.5 (C) 2 (D) 3 Ans: 3 Sol: ...
READ MORE +Q. A coil having an impedance of (10 + j100) Ω is connected in parallel to a variable capacitor as shown in figure. Keeping the excitation frequency unchanged, the value of the capacitor is changed so that parallel resonance occurs. The impedance across terminals p-q at resonance (in Ω) is ...
READ MORE +Q. The Thevenin equivalent circuit representation across terminals p-q of the circuit shown in the figure is a (A) 1 V source in series with 150 kΩ (B) 1 V source in parallel with 100 kΩ (C) 2 V source in series with 150 kΩ (D) 2 V source in parallel with 200 kΩ ...
READ MORE +Q. A series R-C circuit is excited by a 1Ð0 V sinusoidal ac voltage source. The locus diagram of the phasor current 𝐼= (x + jy) A, when C is varied, while keeping R fixed, is Ans: Option 1
READ MORE +Q. Consider two functions 𝑓(𝑥) = (𝑥 − 2)2 and 𝑔(𝑥) = 2𝑥 − 1, where 𝑥 is real. The smallest value of 𝑥 for which 𝑓(𝑥) = 𝑔(𝑥) 𝑖𝑠 __________. Ans: 1
READ MORE +Q. 𝑋 and 𝑌 are two independent random variables with variances 1 and 2, respectively. Let 𝑍 = 𝑋 − 𝑌. The variance of 𝑍 is (A) 0 (B) 1 (C) 2 (D) 3 Ans: 3
READ MORE +Q. Let 𝑓1(𝑧) = 𝑧2 and 𝑓2(𝑧) = 𝑧̅ be two complex variable functions. Here 𝑧̅ is the complex conjugate of z. Choose the correct answer. A. Both 𝑓1(𝑧) and 𝑓2(𝑧) are analytic B. Only 𝑓1(𝑧) is analytic C. Only 𝑓2(𝑧) is analytic D. Both 𝑓1(𝑧) and 𝑓2(𝑧) are not analytic Ans: Only ...
READ MORE +Q. Let 𝑁 be a 3 by 3 matrix with real number entries. The matrix 𝑁 is such that 𝑁2 = 0. The eigen values of N are (A) 0, 0, 0 (B) 0,0,1 (C) 0,1,1 (D) 1,1,1 Ans: 0, 0, 0
READ MORE +Q. Using the Gutenberg-Richter recurrence relationship, the mean annual rate of exceedance of earthquake occurrence in a seismic belt is 0.3 per year for an earthquake of magnitude 6.0. The return period for an earthquake of magnitude 6.0 in this belt is_____years. Ans: 3.0-3.5
READ MORE +Q. The angle of inclination of the remanent magnetization measured on a basalt flow at a location P (28°N 85°E) is 40°. The palaeomagnetic latitude of the basalt flow is________________°N. Ans: 22.5-23.0
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