Question

Download Solution PDF

The power and energy of the unit step sequence are respectively,

This question was previously asked in
ESE Electronics Prelims 2021 Official Paper
Download PDF Attempt in App
View all UPSC IES Papers >
  1. 1/2 and 0
  2. 1/2 and infinity
  3. 2 and 0
  4. 2 and infinity

Answer (Detailed Solution Below)

Option 2 : 1/2 and infinity
Free Tests
View all Free tests >
Free
ST 1: UPSC ESE (IES) Civil - Building Materials
20 Qs. 40 Marks 24 Mins
Start Now

Detailed Solution

Download Solution PDF

The unit step signal is defined as,

 

The power of a signal is given as →

  

The energy of the signal can be defined as→

 

E = ∞ 

Download Solution PDF
Latest UPSC IES Updates

Last updated on Jul 2, 2025

-> ESE Mains 2025 exam date has been released. As per the schedule, UPSC IES Mains exam 2025 will be conducted on August 10. 

-> UPSC ESE result 2025 has been released. Candidates can download the ESE prelims result PDF from here.

->  UPSC ESE admit card 2025 for the prelims exam has been released. 

-> The UPSC IES Prelims 2025 will be held on 8th June 2025.

-> The selection process includes a Prelims and a Mains Examination, followed by a Personality Test/Interview.

-> Candidates should attempt the UPSC IES mock tests to increase their efficiency. The UPSC IES previous year papers can be downloaded here.

Exams Tests Super Practice

More Classification of Signals Questions

Q1.Which signal is described by x(t) = At, for t ≥ 0  = 0, for t < 0
Q2.What is the average value of a(t) = |Amsinwt|? 
Q3.Consider a system with input π‘₯(𝑑) and output 𝑦(𝑑) = π‘₯(𝑒𝑑). The system is 
Q4.The output of a system 𝑦(𝑑) is related to its input π‘₯(𝑑) according to the relation 𝑦(𝑑) = π‘₯(𝑑) sin(2πœ‹π‘‘). This system is _______
Q5.Consider the system represented by y[n] = 2x[n] + 3 A. The system is linear. B. The system is non‐linear. C. The system does not have homogeneity property. D. The system follows the additive property. Choose the correct answer from the options given below: 
Q6.Consider a signal x (t) = 5 cos \(\left( {\frac{{2Ο€ t}}{3}} \right)\)+ 9 sin (0.5π t) + 3 sin \(\left( {\frac{{\pi t}}{3} - \frac{\pi }{6}} \right)\)+ 12. Identify the valid statement for x (t).
Q7.What is the even part of the signal x(t) = 2 + cost ?
Q8.In which one of the following techniques, RF binary signals are transmitted as given? \(0:\sqrt 2 p'(t)\cos [{\omega _c} - (\Delta \omega /2)]t\) \(1:\sqrt 2 p'(t)\cos [{\omega _c} + (\Delta \omega /2)]t\)
Q9.For a periodic signal v(t) = 30 sin100t +10cos300t + 6 sin(500t + π/4) , the fundamental frequency in rad/s is
Q10.The system represented by \(y(n) = \frac 1 3 (x[n] + x[n - 1] + x[n + 2])\) is

More Introduction To Signals and Systems Questions

Q1.The equation for voltage waveform v(t) shown below is (where u(t) is unit step input) :
Q2.A continuous-time signal x(t) is defined as : \(x(\mathrm{t})=\left\{\begin{array}{cc} 5 & -2 \leq \mathrm{t} \leq 2 \\ 0 & \text { otherwise } \end{array}\right.\) The energy of signal x(t) is : 
Q3.Which signal is described by x(t) = At, for t ≥ 0  = 0, for t < 0
Q4.What is the average value of a(t) = |Amsinwt|? 
Q5.If x(n) is defined as discrete time signal, then \(\rm \Sigma_{n=-\infty}^{\infty}|x(n)|^2=?\)
Q6.Consider a system with input π‘₯(𝑑) and output 𝑦(𝑑) = π‘₯(𝑒𝑑). The system is 
Q7.The output of a system 𝑦(𝑑) is related to its input π‘₯(𝑑) according to the relation 𝑦(𝑑) = π‘₯(𝑑) sin(2πœ‹π‘‘). This system is _______
Q8.Given below are two statements Statement I: The scaling theorem relates scale changes in frequency domain to the consequent changes in scale in the time domain. Statement II: The scaling theorem is not applicable to an impulse signal. In light of the above statements, choose the correct answer from the options given below
Q9.Arrange the following system types in ascending order of their intersection with 0 dB axis. A. Type N system B. Type 3 system C. Type 2 system D. Type 4 system Choose the correct answer from the options given below
Q10.Consider the system represented by y[n] = 2x[n] + 3 A. The system is linear. B. The system is non‐linear. C. The system does not have homogeneity property. D. The system follows the additive property. Choose the correct answer from the options given below: 
Suggested Test Series
View All >
UPSC ESE (IES) Civil Mock Test Series
116 Total Tests with 1 Free Tests
Start Free Test
UPSC ESE (IES) Electrical Mock Test Series
68 Total Tests with   0 Free Tests
Start Free Test

UPPCL Assistant Engineer Important Links

ResultAdmit CardSalary and Job ProfileSyllabus and Exam PatternEligibilityAnswer Key

More Signals and Systems Questions

Q1.The Fourier Transform of an real and even function results in:
Q2.Sinc pulse shaping is derived from the Fourier Transform of a _______ function.
Q3.What type of distortion occurs if a signal that contains frequency components up to 15 kHz is sampled using 20 kHz?
Q4.Which one of the following systems described by the following input-output relations is time invariant ? 
Q5.The equation for voltage waveform v(t) shown below is (where u(t) is unit step input) :
Q6.A continuous-time signal x(t) is defined as : \(x(\mathrm{t})=\left\{\begin{array}{cc} 5 & -2 \leq \mathrm{t} \leq 2 \\ 0 & \text { otherwise } \end{array}\right.\) The energy of signal x(t) is : 
Q7.If Z(un) = f(z), then Z(a − nun) (where Z denotes z-transform) equals to :
Q8.The Laplace transform of x(t) is \(\sqrt{\frac{2}{s-3}}\).  Then Laplace transform of e−6tx(t) is :
Q9.Which one of the following is the correct relation ? (a > 0) 
Q10.What is the formula of finding the final value of any time varying function f(t)?
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Copyright Β© 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： teen patti go teen patti royal - 3 patti teen patti bliss