List of practice Questions

Which one of the following is not true of a lossless line?

Which of the following function does not satisfy the wave equation?

The Maxwell's equation \( \oint \vec{E} \cdot d\vec{l} \) is equal to

A loop is rotating about the y-axis in a magnetic field \( B = B_0 \sin \omega t \ \hat{a}_z \text{ Wb/m}^2 \). The voltage induced in the loop is due to (Note: \(\hat{a}_z\) means the B field is in the z-direction. The loop rotates about y-axis.)

According to Parseval's theorem the energy spectral density curve is equal to the area under (The question is phrased a bit oddly. "energy spectral density curve is equal to the area under..." Parseval's theorem relates energy in time domain to energy in frequency domain. The area under the Energy Spectral Density (ESD) curve *is* the total energy.)

Flat-top sampling leads to

Which one of the following is true?

As the bandwidth approaches infinity, the channel capacity becomes (Referring to Shannon-Hartley theorem: \(C = B \log_2(1 + S/N)\))

The 18th G20 Summit, in which the heads of states and governments will meet, on September 9 and 10 will be held in India’s national capital New Delhi. Over 25 world leaders along with other delegates are going to attend this mega event.
One of the largest multilateral summits, the G20 Summit presents a significant diplomatic opportunity for India, which will convene with the adoption of a joint declaration by all the member states/
India assumed the G20 Presidency on December 1 last year. The 18th G20 Summit in New Delhi is scheduled to be held on September 9-10. ……
The Group of Twenty (G20) comprises 19 countries …. and the European Union. The G20 members represent around 85% of the global GDP, over 75% of the global trade, and about two-thirds of the world population.
World leaders from several countries and institutions will mark their presence at the event. They include US President Joe Biden, UK Prime Minister Rishi Sunak, Australian Prime Minister Anthony Albanese, Canadian Prime Minister Justin Trudeau and French President Emmanuel Macron.
However, Russian President Vladimir Putin has opted out of the summit and foreign minister Sergei Lavrov will represent the country in his place. Chinese President Xi Jinping has also decided to skip the event and will send country’s Premier Li Qiang instead, according to sources.
The G20 Summit 2023 is being held under the theme – Vasudhaiva Kutumbakam (One Earth. One Family. One Future) – centered around the value of all life including human, animal, plant, and microorganisms and their interconnectedness on the planet Earth and in the wider universe.
India’s presidency of the summit holds significance as it aims to become a voice for the ‘less developed’ global South in a world dominated by developed nations of the West. It is also likely to take up the issue of border tension with China. India, for its part, may attempt to straighten out its diplomatic intricacies with the West after it faced challenges due to the Russia-Ukraine conflict. [Extracted, with edits and revisions, from “India gears up for G20 Summit: Check event venue, guest list, special invitees”, Hindustan Times]

Which of the following is incorrect? (Assuming H refers to Entropy in Information Theory)

The input to a matched filter is given by \( S(t) = 10 \sin(2\pi \times 10^6 t), 0<t<1 \) second. The peak amplitude of the filter output is (Note: The duration \(0<t<1\) second is very long for a 1 MHz signal. This implies many cycles. Energy of the signal will be large.)

Which of the following modulation scheme gives the maximum probability of error?

The number of bits per sample in a PCM system with sinusoidal input is increased from n to n+1. The improvement in signal to quantization noise ratio will be

In delta modulation (DM) system, the granular noise occurs when the modulating signal

Companding is used in PCM to

The main advantage of TDM over FDM is

The maximum permissible distance between two samples of a 2 kHz signal is

A narrowband FM does not have the following feature

On 26th January 1950, we are going to enter into a life of contradictions. In politics, we will have equality and in social and economic structure, continue to deny the principle of one man one value. How long shall we continue to live this life of contradictions? How long shall we continue to deny equality in our social and economic life? If we continue to deny it for long, we will do so only by putting our political democracy in peril. We must remove this contradiction at the earliest possible moment else those who suffer from inequality will blow up the structure of democracy, which this Constituent Assembly has so laboriously built up.
I feel that the constitution is workable, it is flexible and it is strong enough to hold the country together both in peacetime and in wartime. Indeed, if I may say so, if things go wrong under the new Constitution, the reason will not be that we had a bad Constitution. What we will have to say is that man was vile?
The third thing we must do is not be content with mere political democracy. We must note that our political democracy cannot last unless there lies at the base of social democracy. What does social democracy mean? It means a way of life, which recognizes liberty, equality and fraternity as the principles of life.
… however, good a constitution may be, it is sure to turn out bad because those who are called to work it, happen to be a bad lot. However, bad a constitution may be, it may turn out to be good if those who are called to work it, happen to be a good lot. The working of a Constitution does not depend wholly upon the nature of the Constitution.
[Excerpts from Dr. Ambedkar’s address to the Constituent Assembly, 25 November 1949]

The figure of merit ratio of FM to PM for single tone modulating signal is