Q84.The ratio of the coefficient of the middle term in the expansion of ( 1 + ๐ฅ) 20 and the sum of the coefficients of two middle terms in expansion of ( 1 + ๐ฅ) 19 is . ๐ฅ+ 1 ๐ฅ- 1 10
What This Question Tests
This question tests the ability to find the coefficients of the middle terms in binomial expansions for both even and odd powers, and then compute their ratio.
Concepts Tested
Formulas Used
Tr+1 = nCr * a^(n-r) * b^r
Middle term for (1+x)^2n is T_n+1
Middle terms for (1+x)^(2n-1) are T_n and T_n+1
๐ NCERT Sections This Tests
13.4 โ Obtain Approximately The Ratio Of The Nuclear Radii Of The Gold Isotope
Physics Class 12 ยท Chapter 13
13.4 Obtain approximately the ratio of the nuclear radii of the gold isotope 197 79 Au and the silver isotope 10747 Ag .
13.5 โ The Q Value Of A Nuclear Reaction A + B ยฎ C + D Is Defined By
Physics Class 12 ยท Chapter 13
13.5 The Q value of a nuclear reaction A + b ยฎ C + d is defined by Q = [ mA + mb โ mC โ md]c2 where the masses refer to the respective nuclei. Determine from the given data the Q-value of the following reactions and state whether the reactions are exothermic or endothermic. (i) 11 H+13 H โ12 H+12 H (ii) 126 C+126 C โ1020 Ne+ 24 He Atomic masses are given to be m ( 12 H ) = 2.014102 u m ( 13 H) = 3.016049 u m ( 126 C ) = 12.000000 u m ( 1020 Ne ) = 19.992439 u
1.3 โ Define The Following Terms:
Chemistry Class 11 ยท Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
๐ Question Details
- Chapter
- Binomial Theorem
- Topic
- Middle term in binomial expansion
- Year
- 2021
- Shift
- 25 Jul Shift 1
- Q Number
- Q84
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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