60102. For a random variable x following the probability density function, p(x), shown in figure, the mean and the variance are respectively,
60103. VR at t < T, t = ∞
60104. For a lossless transmission line, the propagation constant is given as γ = __________ .
60105. The earbone attached to the eardrum is?
60106. If each stage has a gain of 10 dB and noise figure of 10 dB, then the overall noise figure of a two stage cascade amplifier will be
60107. A rectangular waveguide of internal dimensions (a = 4 cm and b = 3) is to be operated in TE11 mode. The minimum operating frequency is
60108. Using 4-bit numbers (n = 4) if k = 00112, how is k expressed in 2's complement?
60109. A lossless 50 Ω transmission line is terminated 30 + j25 Ω, then voltage reflection coefficient and current reflection coefficient are
60110. Find value of i
60111. The circuit shown in the figure has 4 boxes each described by inputs P, Q, R and outputs Y, Z with
Y = P ⊕ Q ⊕ R, Z = RQ + P R + Q P
The circuit is a
60112. 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 1022 Kg
Mass of earth = 6 x 1024 Kg
Distance between moon and earth = 380 Km
Universal gravitational constant = 6.7 x 10-11 Nm2/Kg2
60113. When x(n) is real then the Fourier series coefficients are correlated as __________ .
60114. The transfer function Y(s)/R(s) of the system shown is
60115. A lossless transmission line with air dielectric is 6 m long. What is the line length at 30 MHz?
60116. Given that F(s) is the one-sided Laplace transform of f(t), the Laplace transform of f(t )dt is
60117. The antenna current of an AM broad cast transmitter, modulated to a depth of 40% by an audio sine wave is 11 amperes. It increased to 12 ampere as a result of simultaneous modulation by another sine wave. The modulation index due to this second sine wave is :
60118. Two D flip-flop as shown below are to be connected as a synchronous counter that goes through the following Q1Q0 sequence
00 → 01 → 11 → 10 → 00 → __________
The inputs D0 and D1 respectively should be connected as
60119. The z-transform of a signal is given by . Its final value is :
60120. Invest your money carefully lest you ..........?
60121. The number of variables in a function is odd and the number of minterms with even number of 0's are same as the number of minterms with odd number at 1's, the expression formed can be represented in __________ as well as __________ form.
60122. In a number system with radix r, the decimal value of 110 is equal to 4r. The decimal values of 111 and r respective are equal to
60123. The electric field of uniform plane wave is given by E = 20 sin (2 p x 108t- p z) x + 20 cos (2 p x 108t - p z) y. Find phase velocity
60124. A conductor in x-y plane and having length 1 m is moving with a velocity V = (2i + 3j + k) m/sec. A magnetic induction field B = (i + 2j) Wb/m2 is applied to the conductor. The potential difference between the ends of the conductor is
60125. A 1000 kHz carrier wave modulated 40% at 4000 Hz is applied to a resonant circuit tuned to a carrier frequency and having Q = 140. What is the degree of modulation after passing the wave through this circuit?
60126. The VTH at terminals A and B is equal to,
60127. If , then y has a
60128. If . dt , then F[y(t)] is
60129. If the sequence converges, then the series converges absolutely is
60130. Open loop transfer function of a system is
The phase cross over frequency ωc is
60131. The two numbers represent in signed 2's complement form are P = 11101101 and Q = 111001110. If Q subtracted from P, the value obtained in signed 2's complement form is
60132. The transfer function of an RLC circuit is given by quality factor (Q-factor) of this circuit is :
60133. Consider the circuit shown below of 2 : 1 MUX is given by the function g = ac + bc
Then f is :
60134. All the four of the 2 x 2 matrix p = are non zero, and one of its eigen values is zero. Which of the following statements is true?
60135. The value of the integral of the function g(x, y) = 4x3 + 10y4 along the straight line segment from the point (0, 0) to the point (1, 2) in the x-y plane is
60136. For the gear train,
If θ1 = 2 rad. clockwise and the torque of gear 1 is 10 lb-ft, what is the displacement and torque of gear 7.
60137. The following system which is static is __________ .
60138. The minimal function that can detect a "divisible by 3" 8421 BCD code digit (representation D8D4D2D1) is given by
60139. A delta modulation system is designed to operate at 3 times the Nyquist rate for a signal with a 3 KHz bandwidth. The quantization step size is 250 mv. The maximum amplitude of a 1 KHz input sinusoidal for which the delta modulator does not show slope overload is :
60140. Values of iL, , VC and at t = 0 are given by,
60141. A continuous time LTI system is described by
Assuming zero initial conditions, the response y(t) of the above system for the input x(t) = e-2t u(t) is given by
60142. The analog signal given below is sampled by 600 samples per second
m(t) = 2 sin 480p t + 3 sin 720p t
The folding (maximum) frequency is __________ .
60143. In the circuit shown, the power supplied by the voltage source
60144. In analog signal given below is sampled at such a rate that the samples of signal can be given to a collection of buffers having capacity of either 24 samples/sec. or 25 samples/sec. The sampling rate is minimum such that it fully utilizes the collection of both types of buffers m(t) = 2 sin 480p t + 3 sin 720 p t
The folding (maximum) frequency is
60145. The system with given T.F. to be stable will be
60146. For a Gaussian process, auto-correlation also implies
60147. The eigen values of a skew symmetric matrix are
60148. An LTI system having transfer function and input x(t) = sin (t + 1) is in steady state. The output is sampled at a rate ωs rad/s to obtain the final output {y(k)}. Which of the following is true?
60149. The current I for the network
60150. A switch tail ring counter is made by using a single D FF. The resulting circuit is a