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A U-tube manometer of tube diameter D is filled with a liquid of zeroviscosity.
If the volume of the liquid filled is V, the natural frequency of oscillations in the liquid level about its mean position, due to small perturbations, is
D/2√2π √g/V
1/2√π √gD/V1/3
2√2/√π √gV / D2
1/√π √g/D
The Fourier transform of a signal h(t) is H(jw) =
(2 cosw)(sin 2w)/w. The value of h(0) is
2
1/4
1/2
1
The bridge method commonly used for finding mutual inductance is
De Sauty bridge
Wien bridge
Heaviside Campbell bridge
Schering bridge
The transfer function of a Zero-Order-Hold system with sampling interval T is
1/s(1 - e-Ts)2
1/s2 e-Ts
1/s e-Ts
1/s(1 - e-Ts)
A strain gauge is attached on a cantilever beam asshown.
If the base of the cantilever vibrates according to the equation x(t) = sin w1t + sin w2t, where 2 rad/s < w1, w2 < 3 rad/s, then the output of the strain gauge is proportional to
dx/dt
d2x/dt2
d(x - y)/dt
x
A psychrometric chart is used to determine
Relative humidity
pH
CO2 concentration
Sound velocity in glasses
The unilateral Laplace transform of f (t) is 1/(s2 + s +
1). The unilateral Laplace transform of t f (t) is
(2s + 1)/(s2 + s + 1)2
- (2s + 1)/(s2 + s + 1)2
s/(s2 + s + 1)2
- s/(s2 + s + 1)2
If x = √-1, then the value of xx is
e-π/2
1
eπ/2
x
The open loop transfer function of a unity gain negative feedback control system is given by G(s) = (s2 + 4s +
8)/[s(s +
2)(s +
8)]. The angle θ , at which the root locus approaches the zeros of the system, satisfies
|θ| = π/2 - tan-1 (1/4)
|θ| = π - tan-1 (1/4)
|θ| = 3π/4 - tan-1 (1/3)
|θ| = π/4 - tan-1 (1/3)
Water
(density: 1000 kgm–3) stored in a cylindrical drum of diameter 1 m is emptied through a horizontal pipe of diameter 0.05 m. A pitot-static tube is placed inside the pipe facing the flow At the time when the difference between the stagnation and static pressures measured by the pitotstatic tube is 10 kPa, the rate of reduction in water level in the drum is,
1/75√10 ms-1
1/200√5 ms-1
1/40√5 ms-1
1/50√10 ms-1
The open loop transfer function of a unity negative feedback control system is given by G(s) = 150/[s(s +
9)(s + 25)]. The gain margin of the system is
34.1 dB
45.6 dB
22.3 dB
10.8 dB
The transfer function of a compensator is given as Gc (s) = (s +
a)/(s +
b). The phase of the above lead compensator is maximum at
1/√3 rad/s
√2 rad/s
√3 rad/s
√6 rad/s
If VA - VB = 6 V, then VC - VD is
-5 V
6 v
3 v
2 v
The maximum value of f(x) = x3 - 9x2 + 24x + 5 in the interval [1, 6] is
21
46
41
25
With initial condition x
(1) 0.5 , the solution of the differential equation, t dx/dt + x = t is
x = t/2
x = t - 1/2
x = t2/2
x = t2 - 1/2
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 is
1/4
2/3
3/4
9/16
The deflection profile y (x) of a cantilever beam due to application of a point force F (in Newton), as a function of distance x from its base, is given by y(x) = 0.001F x2
(1 - x/3)m. The angular deformation θ at the end of the cantilever is measured by reflecting a laser beam off a mirror M as shown in thefigure.
The translation S of the spot of laser light on the photo detector when a force of F = 1 N is applied to the cantilever is
1 mm
12 mm
3 mm
6 mm
The average power delivered to an impedance
(4 - j3)Ω by a current 5cos
(100 πt + 100) A is
44.2 W
50 W
125 W
62.5 W
With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed: (i) 1 Ω connected at port B draws a current of 3 A (ii) 2.5 Ω connected at port B draws a current of 2 AWith 10 V dc connected at port A, the current drawn by 7 connected at port B is
3/7 A
9/7 A
5/7 A
1 A
If x[n] =
(1/3)|n| -
(1/2)nu[n], then the region of convergence (ROC) of its Z-transform in the Z-plane will be
1/2 < |z| < 3
1/3 < |z| < 3
1/3 < |z| < 1/2
1/3 < |z|
1
2
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