p and q are positive integers and
The current population of a city is 11,02,500. If it has been increasing at the rate of 5% per annum, what was its population 2 years ago?
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Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above.
The ratio of the area of the regular convex hexagon to the area of original equilateral triangle is
Consider a square sheet of side 1 unit. In the first step, it is cut along the main diagonal to get two triangles. In the next step, one of the cut triangles is revolved about its short edge to from solid cone. The volume of a resulting cone, in a cube units is _________.
Nostalgia is to anticipation as _______is to _______.
Which one of the following options maintains a similar logical relation in the above sentence?
The number of minutes spent by two Students, X and Y, exercising every day in a given week are shown in the bar chart above.
The number of days in a given week in which one of the students spent a minimum of 10% more than the other student, on a given day, is
The least number of squares that must be added so that the line PQ become the line of symmetry is _____.
Computers are ubiquitous. They are used to improve efficiency in almost all fields from agriculture to space exploration. Artificial intelligence (AI) is currently a hot topic. AI enables computer to learn, given enough training data. For humans, sitting in front of a computer for long hours can lead health issues. Which of the following can be deduced from the above passage?
(i) Nowadays computers are present in almost all places.
(ii) Computers cannot be used for solving problems in engineering.
(iii) For humans, there are positive and negative effects of using computers.
(iv) Artificial intelligence can be done without data.
Given below are two statements and two conclusions.
Statement :
Statement 1 : All purple are green.
Statement 2 : All Black are green.
Conclusion :
Conclusion I : Some black are purple
Conclusion II : No black is purple
Based on the above statements and conclusions, which one of the following options is logically CORRECT?
Consider the following sentences :
(i) I woke up from sleep.
(ii) I woked up from sleep.
(iii) I was woken up from sleep.
(iv) I was wokened up from sleep.
Which of the above sentences are grammatically CORRECT?
The block diagram of a feedback control system is shown in the figure,
The transfer function Y(s)/X(s) of the system is
In the circuit shown in figure, the switch is closed at time t = 0 , while the capacitor is initially charged to – 5V [i.e. V_{C} (0) = 5V ]
The time after which the voltage across the capacitor becomes zero is (Round off to 3 decimal places) ______ ms.
Consider the circuit with an ideal OpAmp shown in figure,
Consider the circuit with an ideal OpAmp shown in figure,
Assuming VIN
A circuit with an ideal OPAMP is shown in the figure. A pulse V_{IN} of 20 ms duration is applied to the input. The capacitors are initially uncharged.
The output voltage V_{out }of this circuit at t = 0^{+} (in integer) is ______ V.
For the circuit with an ideal OpAmp shown in the figure. V_{REF} is fixed.
If V_{out} = 1 volt , for V_{in} = 0.1 volt and V_{out }= 6volt, for V_{in }=1volt. Where V_{out} is measured across R_{L}
load connected at the output of this OpAmp, the value of R_{F}\R_{in }is.
The energy band diagram of a ptype semiconductor bar of length L under equilibrium condition (i.e. the Fermi energy levels E_{F} is constant) is shown in the figure. The valance band E_{V} is sloped since doping is nonuniform along the bar. The difference between the energy levels of the valance band at the two edges of the bar is Δ.
If the charge of an electron is q then the magnitude of the electric field developed inside this semiconductor bar is
A bar of silicon is doped with boron concentration of 10^{16} cm^{3} and assumed to be fully ionized. It is exposed to light such that electronhole pairs are generated throughout the volume of the bar at the rate of 10^{20} cm^{3} s^{1}. If the recombination lifetime is 100 μs and intrinsic carrier concentration of silicon is 10^{10}
cm^{3} and assuming 100% ionization of boron, then the approximate product of steadystate electron and hole concentration due to this light exposure is
A silicon PN junction is shown in the figure. The doping in the P region is 5×10^{16}cm^{−3} and doping in the N region is 10 ×10^{16} cm^{−3} . The parameters given are
The magnitude of reverse bias voltage that would completely deplete one of the two regions (P or N) prior to the other (rounded off to one decimal place) is________ V.
The electrical system shown in figure, converts input source current i_{s}(t) to output voltageV_{0}(t) .
Current i_{L}(t) in the inductor and voltage V_{C} (t) across the capacitor are taken as the state variables, both assumed to be initially equal to zero i.e. i_{L} (0) = 0 and V_{C} (0) = 0 . The system is
An antenna with a directive gain of 6 dB is radiating a total power of 16 kW. The amplitude of electric field in free space at a distance of 8 km from the antenna in the direction of 6 dB gain is (Round off to 3 decimal places) ______ V/m.
For a vector field in a cylindrical coordinate system with unit vector the net flux of leaving the closed surface of the cylinder (ρ =3, 0≤ z ≤ 2) (Round off to 2 decimal places) is ______.
The vector function F(r) =− xiˆ +yˆj is defined over a circular are C shown in the figure,
The line integral of
Consider the vector field in a rectangular coordinate system ( x, y,z) with unit vectors If the field F is irrotational (conservative), then the constant c_{1} (in integer) is ______.
The refractive indices of the core and cladding of an optical fiber are 1.50 and 1.48 respectively. The critical propagation angle, which is defined as the maximum angle that the light beam makes with the axis of the optical fiber to achieve the total internal reflection (round off to two decimal places) is ______ degree.
Consider a rectangular coordinate system ( x, y,z) with unit vector a_{x}, a_{y} and a_{z} . A plane wave travelling in the region z ≥ 0 with electric field vector is incident normally on the plane at z = 0, where β is the phase constant. The region z ≥ 0 is in free space and the region z < 0="" is="" filled="" with="" a="" lossless="" medium="" (permittivity="" ε="" />_{0 } permeability μ = 4 μ_{0}, where ε_{0}= 8.85 ×10^{−12} F/m and μ= 4 π ×10^{7} H/m ). The value of reflection coefficient is
The impedance matching network shown in the figure is to match a lossless line having characteristic impedance Z_{0} = 50Ω with a load impedance Z_{ L} . A quarterwave line having a characteristic impedance Z_{1} = 75Ω is connected to Z_{ L} . Two stubs having characteristic impedance of 75 Ω each are connected to this quarterwave line. One is a shortcircuited (S.C.) stub of length 0.25 λ connected across PS and the other one is an opencircuited (O.C.) stub of length 0.5 λ connected across QR.
The impedance matching is achieved when the real part of ZL is
Consider the circuit shown in figure.
The current I flowing through the 7Ω resistor between P and Q (Round off to 1 decimal places) is _______.
The complete Nyquist plot of the open loop transfer function G(s) H (s) of a feedback control system shown in figure,
If G(s) H (s) has one zero in right half of the splane, the number of poles that, the closed loop system will have in right half of splane is
An 8bit unipolar (all analog output values are positive) digitaltoanalog converter (DAC) has a fullscale voltage range from 0 V to 7.68 V. If the digital input code is 10010110 (the leftmost bit is MSB), then the analog output voltage of the DAC (rounded off to one decimal place) is ___________V.
The propagation delays of the XOR gate, AND gate and multiplexer (MUX) in the circuit shown in the figure are 4 ns, 2 ns and 1 ns, respectively.
If all the inputs P, Q, R, S and T are applied simultaneously and held constant, the maximum propagation delay of the circuit is
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