Solution:
18 August 2023
TRB 2006 - Question 1
Solution:
TRB 2006 - Question 1
Solution:
TRB 2006 - Question 2
A Very lossy $\lambda/4$ long $50\;\Omega$ transmission line is open circuited at the load end. The input impedance measured at the other end of the line is approximately.
a) $0$
b) $50\;\Omega$
c) $\infty$
d) None of these
Correct Answer: Option B
Solution:
As soon as we saw $Z_{in}$ for $\lambda/4$ transmission line, we tempt to use the formula,
$$Z_{in}=Z_0^2/Z_L$$ $$Z_{in}=50^2/\infty$$ $$Z_{in}=0\;\Omega$$
Hence, we choose the option A.
Since the transmission line is matched, there will be no standing wave and hence $Z_{in}$ will be equal to $Z_0$.
Since the transmission line is not matched, there will be reflections at the load and hence standing wave exists. Whenever standing wave is there, the impedance of the transmission line will vary in accordance voltage and current at that point.
Since the transmission line is not matched, there will be reflections at the load and hence standing wave exists. But here, standing wave gets attenuated since the transmission line is very lossy. There will be no standing wave at input side. Hence input impedance is equal to characteristic impedance $Z_0$.
TRB 2006 - Question 2
a) $0$
b) $50\;\Omega$
c) $\infty$
d) None of these
Correct Answer: Option B
Solution:
As soon as we saw $Z_{in}$ for $\lambda/4$ transmission line, we tempt to use the formula,
$$Z_{in}=Z_0^2/Z_L$$ $$Z_{in}=50^2/\infty$$ $$Z_{in}=0\;\Omega$$
Hence, we choose the option A.
Since the transmission line is matched, there will be no standing wave and hence $Z_{in}$ will be equal to $Z_0$.
Since the transmission line is not matched, there will be reflections at the load and hence standing wave exists. Whenever standing wave is there, the impedance of the transmission line will vary in accordance voltage and current at that point.
Since the transmission line is not matched, there will be reflections at the load and hence standing wave exists. But here, standing wave gets attenuated since the transmission line is very lossy. There will be no standing wave at input side. Hence input impedance is equal to characteristic impedance $Z_0$.
TRB 2006 - Question 3
In a JK flipflop, $J=\bar Q$ and $K=1$. Assuming the flip flop was initially cleared and clocked for $6$ pulses, the sequence at the $Q$ will be
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a) $010000$
b) $011001$
c) $010010$
d) $010101$
The characteristic equation of JK flip-flop is $$Q^+=J\bar{Q}+\bar{K}Q$$ Subs the given inputs, $J=\bar{Q}$ and $K=1$ $$Q^+=\bar{Q}\bar{Q}+0Q$$ $$Q^+=\bar{Q}+0$$ $$Q^+=\bar{Q}$$ From this we can say, for every clock pulse, the output of the JK flip-flop gets toggled. Hence $010101$ is the answer
TRB 2006 - Question 3
In a JK flipflop, $J=\bar Q$ and $K=1$. Assuming the flip flop was initially cleared and clocked for $6$ pulses, the sequence at the $Q$ will be
a) $010000$
b) $011001$
c) $010010$
d) $010101$
The characteristic equation of JK flip-flop is $$Q^+=J\bar{Q}+\bar{K}Q$$ Subs the given inputs, $J=\bar{Q}$ and $K=1$ $$Q^+=\bar{Q}\bar{Q}+0Q$$ $$Q^+=\bar{Q}+0$$ $$Q^+=\bar{Q}$$ From this we can say, for every clock pulse, the output of the JK flip-flop gets toggled. Hence $010101$ is the answer
TRB 2006 - Question 4
TRB 2006 - Question 4
TRB 2006 - Question 5
Boolean function of $A+BC$ is reduced form of
a) $AB + BC$
b) $(A+B) (A+C)$
c) $A'B+AB'C$
d) $(A+C) B$
TRB 2006 - Question 5
Boolean function of $A+BC$ is reduced form of
a) $AB + BC$
b) $(A+B) (A+C)$
c) $A'B+AB'C$
d) $(A+C) B$
TRB 2006 - Question 6
One year in Earth and Mars
a) differs
b) remains the same
c) differs and in Mars it is more than 365 days
d) decreases in Mars compared to Earth
TRB 2006 - Question 6
One year in Earth and Mars
a) differs
b) remains the same
c) differs and in Mars it is more than 365 days
d) decreases in Mars compared to Earth
TRB 2006 - Question 7
CDMA is newest and latest used access method using satellites and popular in _____ applications and not much in ______ applications
a) Commercial, military
b) military, commercial
c) military, defence
d) research, commercial
TRB 2006 - Question 7
CDMA is newest and latest used access method using satellites and popular in _____ applications and not much in ______ applications
a) Commercial, military
b) military, commercial
c) military, defence
d) research, commercial
TRB 2006 -Question 8
The order in which the following satellite communication is accessed is
a) FDMA TDMA CDMA
b) CDMA FDMA TDMA
c) FDMA CDMA TDMA
d) Cellular Telephony AMPS FDMA
We can say TDMA uses modulation rate higher than FDMA and hence higher EIRP is required for the earth stations to uplink.
TRB 2006 -Question 8
The order in which the following satellite communication is accessed is
a) FDMA TDMA CDMA
b) CDMA FDMA TDMA
c) FDMA CDMA TDMA
d) Cellular Telephony AMPS FDMA
We can say TDMA uses modulation rate higher than FDMA and hence higher EIRP is required for the earth stations to uplink.
TRB 2006 - Question 9
Is $x (t) = cos \Big (\frac{1}{3} t \Big ) + sin \Big (\frac{1}{4} t \Big )$ periodic?
If so, its period is
a) not periodic, can't find its period
b) periodic, $24 \pi$
c) periodic, $3/4 \pi$
d) periodic, $12 \pi $
TRB 2006 - Question 9
Is $x (t) = cos \Big (\frac{1}{3} t \Big ) + sin \Big (\frac{1}{4} t \Big )$ periodic?
If so, its period is
a) not periodic, can't find its period
b) periodic, $24 \pi$
c) periodic, $3/4 \pi$
d) periodic, $12 \pi $
TRB 2006 - Question 10
A voice graded channel of the telephone network has a Bandwidth of $3.43\; kHz$. The channel capacity of the channel for a SNR of $30dB$ is
c) $10\; bits/sec $
d) $10^{-6}\; bps$
SNR(dB) = $30$ dB
Channel capacity, $$C=B\;log_2(1+SNR)$$ $$=3.4×10^3\; log_2(1+1000)$$$$=3.4×10^3\; log_2(1001)$$ $$=3.4×10^3\; log_2(1001)$$ $$=3.4×10^3\; log_2(1001)$$ $$=3.4×10^3×9.96722625$$ $$=33888.56928\; bits/sec$$
TRB 2006 - Question 10
A voice graded channel of the telephone network has a Bandwidth of $3.43\; kHz$. The channel capacity of the channel for a SNR of $30dB$ is
c) $10\; bits/sec $
d) $10^{-6}\; bps$
SNR(dB) = $30$ dB
Channel capacity, $$C=B\;log_2(1+SNR)$$ $$=3.4×10^3\; log_2(1+1000)$$$$=3.4×10^3\; log_2(1001)$$ $$=3.4×10^3\; log_2(1001)$$ $$=3.4×10^3\; log_2(1001)$$ $$=3.4×10^3×9.96722625$$ $$=33888.56928\; bits/sec$$
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