Q83.The remainder on dividing 1 + 3 + 32 + 33 + … + 32021 by 50 is _____.
What This Question Tests
This problem requires calculating the sum of a geometric series and then finding the remainder when this large sum is divided by a given number, utilizing modular arithmetic properties.
Concepts Tested
Formulas Used
Sum of GP: S_n = a(r^n - 1)/(r - 1)
Modular exponentiation
📚 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?
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.
12.3 — A Difference Of 2.3 Ev Separates Two Energy Levels In An Atom. What
Physics Class 12 · Chapter 12
12.3 A difference of 2.3 eV separates two energy levels in an atom. What is the frequency of radiation emitted when the atom make a transition from the upper level to the lower level?
📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Geometric Progression and Modular Arithmetic
- Year
- 2022
- Shift
- 24 Jun Shift 2
- Q Number
- Q83
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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