The Fourier series coefficient of time domain signal x(t) is shown below

The fundamental frequency of signal is \(\omega _{ 0 }=\pi \)The signal x(t) is

For the Zener diode shown in the figure below the Zener voltage at knee 7, the knee current is negligible and the dynamic resistance is 10 \(\Omega\). if the input voltage (V_i) range is from 10 to 16 V, the output voltage (V_o) ranges from 

Consider an 8085 microprocessor system:
If in addition, following code exists from 0109 H onwards.
ORI   40H
ADD  M
What will be the result in the accumulator after the last instruction is executed?

For a random process \({ R }_{ XX }(\tau )=P{ cos }^{ 4 }({ \omega }_{ 0 }\tau )\) , where P and \({ \omega }_{ 0 }\) are constants. The power in process is

The parallel branches of a 2-wire transmission line are terminated in \(100\Omega \) and \(200\Omega \) resistors as shown in the figure The characteristic impedance of the line is \(z_{ 0 }=50\Omega \) and each section has a length of \(\frac { \lambda }{ 4 } \) The voltage reflaction coefficient in the input is

The minimum sampling frequency (in sample/s) required to reconstruct the following signal from its samples without distortion. x(t)=\(5\left( \frac { sin\ 2\pi \ 1000t }{ \pi t } \right) +7\left( \frac { sin\ 2\pi 1000\ t }{ \pi t } \right) ^{ 2 }\)would be

In the given circuit below, voltage V_a is

A MUX network is shown in figure .

Z₂=?

Represent the given system in state-space equation x=A.x=B.u. Choose the correction option for matrix A.

An n-channel JFET has a pinch-off voltage of V_D = - 5 V, V_DS (max) = 20 V and g_m = 2 mA/V. Minimum on resistance is achieved in the JFET for

An 8085 μP based system drives a multiplexed 5-digit 7-segment display. The digits are refreshed at a rate of 500 Hz. The ON time for each digit is

In the given network of AND and OR gates, it can be written as

Consider an amplifier circuit shown in figure below. If the transistors Q₁ and Q₂ has parameters g_m1, r_{\(\pi \)1} and g_m2, r_{\(\pi \)2}  respectively, then voltage gain \(\left| { A }_{ V } \right| \) is

At a room temperature of 30⁰C, minimum voltage and current required to fire a SCR is

In the single-phase induction meter, in order to obtain true value of energy, the shunt magnetic flux should lag behind the applied voltage by

Match List I with List II and select the correct answer using the codes given below the lsts.

A 220 kV, 20 km long, 3-phase transmission line has the following A, B, C, D constants:
             \(A\ =\ D\ =\ 0.96\ \angle { 3 }^{ \circ }\)
            \(B\ =\ 50\angle { 65 }^{ \circ }\Omega /phase\) 
            \(C\ =\ 0.5\ E\ -\ 04\ \angle { 80 }^{ \circ }S/phase\)
Its charging current per phase is

As compared to the use of a single series DC motor for electric traction for a given starting time t, the series-parallel control using two similar motors with time t/2 for each series and parallel operation would give a saving in starting energy of 

Find 3 terms of the Fourier series of a periodic 1 kHz rectangular waveform symmetrical about t =0 and having a pulse width of 500 us and amplitude as 5 V.

The switch in the circuit shown was on position a for a long time and is moved to position b at time t =0. The current I(t) for t >0 is given by

Four 5 nC positive charge are located in the z=0 plane at the corners of a square 8 mm on a side. A fifth 5 ncC positive charge is located at a point 8 mm distant from each of the other charge. The magnitude of the total force on this fifth charge is 

The solution of the recurrence relation a_r = a_r-1 + 2a_r-2 with a₀ = 2,a₁ = 7 is

What is the possible number of reflexive relations on a set of 5 elements?

Let P, Q and R be three atomic propositional assertions. Let X denotes (P V Q) \(\rightarrow\) R and Y denotes \((P\rightarrow R)\nu (Q\rightarrow R)\). Which one of the following is a tautology?

Let \({ X }^{ 2 }-117=0.\) The iterative steps for the solution using Newton-Raphson's method is given by 

The odds against a husband who is 45 yr old, living till he is 70 are 7:5 and the odds against his wife who is 36, living till she is 61 are 5:3. The probability that atleast one of them will be alive, 25 yr hence, is

\(\lim _{ \theta \rightarrow 0 }{ \frac { sin\frac { \theta }{ 2 } }{ \theta } } \) is

The complete solution for the ordinary differential equation
\(\frac { d^{ 2 }y }{ dx^{ 2 } } +p\frac { dy }{ dx } +qy=0\quad is\quad y={ c }_{ 1 }e^{ -x }+{ c }_{ 2 }e^{ -3x }\)
Then, p and q are

Assuming i=\(\sqrt { -1 } \)and t is a real number \(\int _{ 0 }^{ \pi }{ { e }^{ it } } dt\) is

th eeigen values of th ematrix [ P ] = \(\begin{bmatrix} 4 & 5 \\ 2 & -5 \end{bmatrix}\) are

If 20 is divided into four parts which are in AP such that the product of the first and fourth is to the product of the second and third is in tha ratio 2:3.

(log tan1⁰ log tan 2⁰ ...log tan 50⁰) is

A man takes 4 h 20 min in walking to a certain place and riding back. He would have gained 1 h 30 min by riding both ways. The time he would take to walk both ways is

A and B can do piece of woek seperately in 8h and 12 h. If they work alternate hours, A starting when will the work be finished?

Anurag lends 20% of the sum at 10 % per annum,  50% of rest annum at 10 % per annum and the rest at 8% per annum simple interest. What would be the rate of interest per annum calculated on the whole sum?

What is the average of all numbers from 1 to 100 that end in 3?

A trader marks his product 30% above cost price. He sells the product and allows 10% trade discount. In order to ensure prompt payment he further gives cash discount of 10%. If he makes Rs. 106 profit from the transaction. Find the cost price of the product

The total tractor production in a state is 294000 out of which 150000 are made by Mahindra and Mahindra. Out of every 1000 Mahindra tractors, 98 are red in colour, but only 5.3% of the total tractor production is red. Find the percentage of non-Mahindra tractors that are red out of total non-Mahindra tractors.

If x,y and z are three integers such that x=y=16, y=z=20 and +x=22, then xy=

A question four sets of statements are given. You have to identify whether the three sentence in each of these sets are logically  related.
A. All coins are leaves. Some leaves are pens. Some coins are pens.
B. Mangoes contain allergen, Magan are mangoes. Magan may have allergy.
C. USA is a security council member. UK is a security council member. All security council members are not from, the Asian countries.
D. X is Y's mother .All daughters wear socks. Y wares socks.

Read the following information carefully and answer the questions give below it.
(i) Seven books are placed one above the other in a particular way.
(ii) The history book is placed directly above the civics book.
(iii) The geography book is fourth from the bottom and the English book is fifth from the top.
(iv) There are two books in between the civics and economics books.
To know which three books are kept above the English book, which of the following information, if any, is required?

Read the following information carefully and answer the questions.
Five dramas A,B,C,D, and E have to be staged in 6 h where 1 h needs to be given per drama.
(1) A break of 1 has to be taken in the third or fourth hour.
(2) Drama show cannot be started with A and has to end in C.
(3) D has to follow B immediately with no break in between.
(4) A cannot be done immediately after D.
(5) A has to precede E immediately with no break in between.
Which is the drama staged immediately after the break?

A, B, C, D and E play a game of cards. A says to B. "if you give me three cards, you will have as many as E has and if I give you three cards, tou will have as many as D has." A and B togetherhave 10 cards more than what D and E together have, If B has two cards more than what C has abd the total number of cards be 133, how many cards does B have?

Select the pair of Words, Which exhibits the same relationship between each other as the given pair of words.
Circuitous : direct ::

Choose the option that completes the sentence most meaningfully and appropriately.
Although many people don't like the jobs they do they remain stuck to them for ............. reasons.

Choose the correct meaning of the given word.
Frail

Minimal super key is

Which of the following attributes of text box control allows to limit the maximum character?

Non-polling system is

Beta testing is carried out by

The number of processes completed per unit time is known as

Shift reduce parser are

Consider the regular expression 
r=0*(10*10*)10*
Which of the following are not valid strings?
(1) 0101010011
(2) 1111001111001
(3) 0011001100111

Consider a weighted undirected graph with positive edge weight and let uv be ab edge in the graph. It is known that the shortest path from the source vertex S to u have weight 53 and the shortest path from S to v has weight 65. What will be the condition for calculating shortest path in weight terms?

The fields in a structure of C program are by default

The correct push function is

Which of the following is the internal memroy of system?

A logical function of three variables is given as
\(f\left( A,B,C \right) =Y=\left( \bar { A } +B+C \right) \left( A+C \right) \left( \bar { A } +\bar { B } \right) \)
The canonical POS form is

The area of a plane of an old map plotted to a scale of 10m to 1cm measures 100.2\({ cm }^{ 2 }\)as measured by planimeter. The plane is found to have shrunk so that a line originally 10cm long measures 9.7 cm. Further the 20m tape used was 8 cm too short. The true area of survey is

In context of flexible pavement design, the ratio of contact pressure to tyre pressure is called rigidity factor.This factor is less than unity when the tyre pressure is

A cubic metre sample of air was found to certain 50 of SO₂ . The temperature and pressure were 25⁰C and 103.193 kPa when the air sample was taken. What was the SO₂ concentration in ppm?

The leaching requirement of a soil is 10%. If the consumptive use requirement of the crop is 90 mm. then depth of water required to be applied in the field is

The total observed runoff volume during a 4h storm with a uniform intesity of 2.8 cm/h is \(25.2\times { 10 }^{ 6 }{ m }^{ 3 }\) from a basin of 280 km² of area.What is the average infiltration rate for the basin?

A 2 m wide rectangular channel flowing at its normal depth of 1.2 m carries a discharge of \(6.0{ { m }^{ 3 } }/{ s }\). If at section, the depth of flow is 1.10 m, the water surface at that is a part of GVF of type

A metallic body floats at the interface of mercury (specific gravity 13.6) and water such that 40% of its volume is submerged in mercury and 60% in water.The density of the metal will be

Consider the following clay minerals
1. Kaolinite
2. Illite
3. Montmorillonite
Which one of the following is the correct sequence of the minerals given above in the increasing order of their grain size?

propped cantilever beam is subjected to collapse that of 18 KN as shown in the figure

If the yield stress \(f_{ y }\) =250 MPa) The plastic section modulus is given as

Modulus of rupture of concrete gives

The influence line diagram for the force in member XY of the truss shown in the figure will be

The shape of SFD for a cantilever beam subjected to a couple at its free end is