Q83.If the sum of the coefficients in the expansion of ( ๐ฅ+ ๐ฆ) ๐ is 4096, then the greatest coefficient in the expansion is _____.
What This Question Tests
This question tests the application of properties of binomial expansion, specifically finding the sum of coefficients and then determining the greatest coefficient for a given power.
Concepts Tested
Formulas Used
Sum of coefficients = (1+1)^n = 2^n
Greatest coefficient for (x+y)^n is nC(n/2) for even n, or nC((n-1)/2) and nC((n+1)/2) for odd n
๐ NCERT Sections This Tests
13.2 โ Obtain The Binding Energy Of The Nuclei 5626Fe And 20983 Bi In Units Of
Physics Class 12 ยท Chapter 13
13.2 Obtain the binding energy of the nuclei 5626Fe and 20983 Bi in units of MeV from the following data: m ( 5626Fe ) = 55.934939 u m ( 20983 Bi ) = 208.980388 u
12.5 โ A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 ยท 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.
12.7 โ The Radius Of The Innermost Electron Orbit Of A Hydrogen Atom Is
Physics Class 12 ยท Chapter 12
12.7 The radius of the innermost electron orbit of a hydrogen atom is 5.3ร10โ11 m. What are the radii of the n = 2 and n =3 orbits?
๐ Question Details
- Chapter
- Binomial Theorem
- Topic
- Properties of binomial expansion
- Year
- 2021
- Shift
- 01 Sep Shift 2
- Q Number
- Q83
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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