GATE EE 2018 Set 1 — Question 50

Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.
NAT+2 / -0MediumCTFT & DTFTFourier Analysis & SamplingSignals & Systems

Signals & Systems → Fourier Analysis & Sampling → CTFT & DTFT

Last updated

Question

The Fourier transform of a continuous-time signal x(t)x(t) is given byX(ω)=1(10+jω)2,<ω<X(\omega) = \frac{1}{(10 + j\omega)^2}, -\infty < \omega < \inftywhere j=1j = \sqrt{-1} and ω\omega denotes frequency. Then the value of lnx(t)|\ln x(t)| at t=1t = 1 is ___________ (up to 1 decimal place). (ln\ln denotes the logarithm to base ee)
Your answer

Enter a number. Decimals, negative values and scientific notation are accepted.

The solution stays hidden until you check.

Continue learning with Success Tracker

A step still unclear? Work through it with support

Use Success Tracker to ask about the reasoning, then try another GATE EE question to check your understanding.

AI-powered practice· Unlimited practice on eligible plans
PYQs with solutions
Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
Practice that adapts
Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
AI doubt support
Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.

Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.

This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.

More questions on Fourier Analysis & Sampling