Q87.Let A = (1−i+ i 10 ) {n ∈{1, 2, … . , 100} : An = A} is
What This Question Tests
This question evaluates the knowledge of powers of the imaginary unit 'i' and simplification of complex numbers involving large powers. It also requires finding the number of occurrences for a specific condition within a given range.
Concepts Tested
Formulas Used
i² = -1
i³ = -i
i⁴ = 1
📚 NCERT Sections This Tests
12.7 — The Radius Of The Innermost Electron Orbit Of A Hydrogen Atom Is
Physics Class 12 · Chapter 12
12.7 The radius of the innermost electron orbit of a hydrogen atom is 5.3×10–11 m. What are the radii of the n = 2 and n =3 orbits?
5.12 — Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
Chemistry Class 11 · Chapter 5
5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
12.5 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 · Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Powers of iota and complex number properties
- Year
- 2022
- Shift
- 28 Jun Shift 2
- Q Number
- Q87
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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