Complex Number MCQ Level - 1 - Physics MCQ

Complex Number MCQ Level - 1 - Physics MCQ

Test Description

10 Questions MCQ Test Topic wise Tests for IIT JAM Physics - Complex Number MCQ Level - 1

Complex Number MCQ Level - 1 for Physics 2024 is part of Topic wise Tests for IIT JAM Physics preparation. The Complex Number MCQ Level - 1 questions and answers have been prepared according to the Physics exam syllabus.The Complex Number MCQ Level - 1 MCQs are made for Physics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Complex Number MCQ Level - 1 below.
Solutions of Complex Number MCQ Level - 1 questions in English are available as part of our Topic wise Tests for IIT JAM Physics for Physics & Complex Number MCQ Level - 1 solutions in Hindi for Topic wise Tests for IIT JAM Physics course. Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free. Attempt Complex Number MCQ Level - 1 | 10 questions in 30 minutes | Mock test for Physics preparation | Free important questions MCQ to study Topic wise Tests for IIT JAM Physics for Physics Exam | Download free PDF with solutions
Complex Number MCQ Level - 1 - Question 1

is purely imaginary then z lies on :

Detailed Solution for Complex Number MCQ Level - 1 - Question 1

locus of z is circle.
The correct answer is: a circle

Complex Number MCQ Level - 1 - Question 2

Vector z = 3 - 4i is turned anticlockwise throuah an anale 180° and stretched 2.5 times. Complex number corresponding to newly obtained vector is :

Detailed Solution for Complex Number MCQ Level - 1 - Question 2

z = 3 - 4i
Newly obtained vector is

 1 Crore+ students have signed up on EduRev. Have you?
Complex Number MCQ Level - 1 - Question 3

If 1, α1, α2,..................αn-1 are nth root of unity then is :

Detailed Solution for Complex Number MCQ Level - 1 - Question 3

( xn - 1) = ( x - 1 ) ( x - α1) (x - α2)......(x - α- 1)
log(xn - 1) = log (x - 1) + log ( x - α1) +.......+ log ( x - αn - 1)
Differentiate w.r.t. x

Complex Number MCQ Level - 1 - Question 4

If z = cos θ + i sin θ, then  is equal to :

Detailed Solution for Complex Number MCQ Level - 1 - Question 4

Complex Number MCQ Level - 1 - Question 5

If conjugate of ( x + iy) ( 1 - 2i ) be 1 + i the x and y are :

Detailed Solution for Complex Number MCQ Level - 1 - Question 5

⇒ ( x - iy)(1 + 2i) = 1 + i
so x + 2y = 1

Complex Number MCQ Level - 1 - Question 6

Amplitude of

Detailed Solution for Complex Number MCQ Level - 1 - Question 6

so amplitude =

Complex Number MCQ Level - 1 - Question 7

If  ω≠ 1 is a cube root of unity, then sum of series
S = 1 + 2ω + 3ω + .... + 3nω3n-1(n ∈ N )

Detailed Solution for Complex Number MCQ Level - 1 - Question 7

Complex Number MCQ Level - 1 - Question 8

If  is purely imaginary, then z lies on a :

Detailed Solution for Complex Number MCQ Level - 1 - Question 8

is purely imaginary

Complex Number MCQ Level - 1 - Question 9

Detailed Solution for Complex Number MCQ Level - 1 - Question 9

Complex Number MCQ Level - 1 - Question 10

If (x - iy) + i (3x + iy) = n ∈ N then pair (x,y) is :

Detailed Solution for Complex Number MCQ Level - 1 - Question 10

by comparison x - y = - 1
x - y = -1
3x - y = -1
So, x = 0, y = 1

Topic wise Tests for IIT JAM Physics

217 tests
Information about Complex Number MCQ Level - 1 Page
In this test you can find the Exam questions for Complex Number MCQ Level - 1 solved & explained in the simplest way possible. Besides giving Questions and answers for Complex Number MCQ Level - 1, EduRev gives you an ample number of Online tests for practice

217 tests