Q54.The product 2 41 ∙4 161 ∙8 481 ∙16 1 128 ∙. . . . to ∞ is equal to: (1) 2 21 (2) 2 41 (3) 1 (4) 2
What This Question Tests
This question requires converting a product of terms into a common base to form an exponent that is an infinite geometric series, then applying the sum formula for an infinite GP.
Concepts Tested
Formulas Used
a^m * a^n = a^(m+n)
Sum of infinite GP: S = a / (1 - r)
📚 NCERT Sections This Tests
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
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.
12.8 — A 12.5 Ev Electron Beam Is Used To Bombard Gaseous Hydrogen At
Physics Class 12 · Chapter 12
12.8 A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. What series of wavelengths will be emitted?
📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Infinite geometric series, Exponents
- Year
- 2020
- Shift
- 09 Jan Shift 1
- Q Number
- Q54
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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