ISRO Scientist or Engineer Electronics 2012

For the following questions answer them individually

$$1 cm^{3}$$ of pure Germanium at $$20^\circ$$C contains about $$4.2 \times 10^{22}$$ atoms, $$2.5 \times 10^{13}$$ free electrons and $$2.5 \times 10^{13}$$ holes. 0.001% of Arsenic doping donatesan extra $$10^{17}$$ free electrons in the same volume. The approximate humberof holes in one $$cm^{3}$$ in the doped semiconductor under equilibrium condition is :

Measurementof Hall coefficient enables the determination of :

Siliconis not suitable for fabrication oflight emitting diodes becauseit is :

The following statements are made for NMOS & PMOS
1: The carrier mobility in NMOSis higher
2: PMOSrequire less area than NMOS
3: NMOS circuits are smaller than PMOS
4: PMOS are fasterin switching.
Of these, the true statements are -

The following statements are made for FETs
1. In n-channel depletion mode MOSin the active region, the control voltage Veg is negative.
2. NMOSin depletion modeis cut off for $$V_{GS}$$=0
3. NMOSin enhance modeis cut off for $$V_{GS}$$=0
4. There is no path betweensource and drain in the enhancement mode
Of these, the true statementsare :

Special handling precautions should be taken when working with MOS devices. The statement whichis nottrueis :

A high gain OpAmp has $$R_{f} = 10^{5} Ω  \&  R_{f} = 10^{3} Ω$$. The correct statement is:

For various typesofoscillators, the correct statementis:

For Butterworth & Chebyshevfilters, the correct statementis :

In a feedback series regulator circuit, the output voltage is regulated by controlling th

For a parallel RC circuit as shown in figure, R = 20 QN & C = 0.9 vF, which is to be matched to 50 Q over a bandwidth,

$$\int_{0}^{\infty} \ln \frac{1}{\mid r \mid} dw \leq \frac{\pi}{RC}$$


The circuit has to be matched over 6 GHz to 18 GHz, What is the  very best r that can be achieved:

The effect of phase error of local oscillator on spectral components in’ coherent detection of SSB Amplitude modulated signal is :

For identical total transmitted power, the ratio of $$\frac{S}{N}$$ for wide band FM to $$\frac{S}{N}$$ of DSB-AM (with $$m_a = 1$$)is :
( Given fm = 15 KHz & frequency.deviation =$$\pm$$ 75 KHz)

A signal $$m(t) = 3 \cos(6000 \pi t) + 4 \cos(7000 \pi t) + 5 \cos(10000 \pi t)$$ to be sampled. What is the minimum sampling rate for band pass sampling for truth full representation :

An Ideal powerlimited communication channel with additive white Gaussian noise is having 4 KHz band width and Signal to Noise ratio of 255. The channel capacityis:

An Ideal power limited communication channel with additive white Gaussian noise with 1 MHz band width and Signal to Noise ratio of 15 is transmitting the | information at theoretical maximum rate. If the Signal to Noise ratio is reduced to 7, how much bandwidthis required to maintain samerate:

Electric displacement density D at any point on spherical surface of radius R with a charge Q at the centre ina medium with dielectric constant $$\epsilon$$ is:

For a homogeneous and isotropic medium with a charge density $$\rho$$ & dielectric constant $$\epsilon$$, the Poisson’sequation for electrical potential V is :

For a plane travelling EM wave, the correct equation for characteristic impedance Z for the medium with permittivity of $$\epsilon$$ and permeability of $$ \mu $$ is :

A plane wave propagating in the dielectric medium has an electric field given as $$E_{x} = E_{o} \cos (2.6 \times 10^{10}t -100z)$$. The phase velocity of plane wave is :

A transmission line of 50 Ω characteristic impedance terminated by a load impedanceof 50-j50. The magnitude of reflection coefficient at the load is :

The outer conductor diameter and the inner conductor diameter dimensions of a coaxial cable are made twice toits original value. (Coaxial line is filled with dielectric material having dielectric constant ¢,= 4.0 ). The correct statementis :

In which of the following cases the divergence of electric field is zero

The S matrix of a lossless line having length $$\frac{\lambda}{4}$$ is

If the RF transmission is terminated in its Characteristic impedance Z,, which of the following statements is wrong :

A lossless matching circuit is shown in the figure


The values satisfying the matching condition are:

The true statement for wave propagation in rectangular wave guidesfilled with air is:

As the wave frequency approachesto cut-off frequency of wave guide, the correct statementis :

The EM wave which does not propagate through a rectangular waveguide with a = 30 mm & b = 15 mm is

The minimum inputsignal that gives outputsignal to noise ratio of 10 dB in a system that has an input impedance equal to 50 Ω, a noisefigure of 4 dB and bandwidth of 100 KHz is :

The RF amplifier A is having 3 dB NF & 5 dB ofgain, amplifier B is having 3.5 dB NF & 15 dB. For overall noise figure of the cascaded system, the correct statementis :

For this RF Circuit, the correct statement is :

In a uniform linear array, four isotropic radiating elements are spaced $$\frac{\lambda}{4}$$ apart. The progressive phase shift between the elements required for forming -
the main beam at $$60^\circ $$ of the end fireis:

For a Phase Locked Loop system, the open loop transfer function is G(s)=$$\frac{1000}{s (\frac{s}{1192}+1)}$$
The phase margin is $$50^\circ$$ and the crossover frequency is approximately 1000 rad/s. A time delay is introduced in the phase detector reducing the phase margin to $$40^\circ$$ . The maximum permissible time delay ( in seconds)is :

For a negative feedback system shown in figure,


the equivalent transfer function is :

The truth table for implementing a boolean variable F is given by


where d represents don’t care states. The minimized expression for F is

The state transition diagram for a sequence generator is shown in figure


It is designed using D F/Fs and combinational logic blocks $$L_{1}, L_{2}, \& L_{3}$$ and is initialized at $$(Q_{2} = 1 ,Q_{1} = 0, Q_{0} = 1)$$

The minimized expressions for O0, O1, & O2 are:

The eigen values of the matrix are $$\begin{bmatrix}\cos \alpha & \sin \alpha \\ \sin \alpha & \cos \alpha \end{bmatrix}$$

The Laplace Transform of x(t) formed by convolution operator is:

$$x(t) = \left\{t.u(t)\right\}\otimes \left\{\cos 2 \pi t.u(t)\right\}$$

Person X can solve 80% of the ISRO question paper and Person Y can solve 60%. The probability that at least one of them will solve a problem from the question paper, selectedat random is :

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