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In a sample of ethyl ethanoate (CH3COOC2H5) the two oxygen atoms have the same number of electrons but different number of neutrons. Which of the following is the correct reason for it?
(c) The two oxygen atoms are isotopes. https://www.tiwariacademy.com/ncert-solutions/class-9/science/chapter-4/
(c) The two oxygen atoms are isotopes.
https://www.tiwariacademy.com/ncert-solutions/class-9/science/chapter-4/
See lessIf (1 – x + x²)ⁿ = a₀ + a₁x + a₂x² + a₃x³ + …. + a₂ₙx²ⁿ, then a₁ + a₃ + a₅ …. +a₂ₙ ₋ ₁ equals
Choice (c) is correct. We have, (1 + x + x²)ⁿ = a₀ + a₁x + a₂x² + a₃x³ + .... + a₂ₙx²ⁿ Putting x = 1 and - 1 in (1), we get 1 = a₀ + a₁ + a₂ + a₃ + .... a₂ₙ and 3ⁿ = a₀ + a₁x + a₂x² + a₃x³ + .... + a₂ₙ Subtracting (3) from (2), we get 1 - 3ⁿ = 2(a₁ + a₃ + a₅ .... +a₂ₙ ₋ ₁) ⇒ a₁ + a₃ + a₅ .... +a₂ₙRead more
Choice (c) is correct.
We have, (1 + x + x²)ⁿ = a₀ + a₁x + a₂x² + a₃x³ + …. + a₂ₙx²ⁿ
Putting x = 1 and – 1 in (1), we get
1 = a₀ + a₁ + a₂ + a₃ + …. a₂ₙ
and 3ⁿ = a₀ + a₁x + a₂x² + a₃x³ + …. + a₂ₙ
Subtracting (3) from (2), we get
1 – 3ⁿ = 2(a₁ + a₃ + a₅ …. +a₂ₙ ₋ ₁)
⇒ a₁ + a₃ + a₅ …. +a₂ₙ ₋ ₁ = 1 – 3ⁿ/ 2
This question related to Chapter 7 maths Class 11th NCERT. From the Chapter 7: Binomial Theorem. Give answer according to your understanding.
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See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-7
The total number of terms in the expansion of (1 + x)¹⁰⁰¹ -x¹⁰⁰¹ is :
Choice (c) is correct. We know that the total number of terms in the expansion of (x + a)ⁿ is (n + 1). Total number of terms in the expansion of (1 + x)¹⁰⁰¹ is (1001 + 1) = 1002. Total number of terms in the expansion of (1 + x) ¹⁰⁰¹ -x¹⁰⁰¹ is 1001 as two terms cancel each other This question relateRead more
Choice (c) is correct.
We know that the total number of terms in the expansion of (x + a)ⁿ is (n + 1).
Total number of terms in the expansion of (1 + x)¹⁰⁰¹ is (1001 + 1) = 1002.
Total number of terms in the expansion of (1 + x) ¹⁰⁰¹ -x¹⁰⁰¹ is 1001 as two terms cancel each other
This question related to Chapter 7 maths Class 11th NCERT. From the Chapter 7: Binomial Theorem. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-7
The total number of terms in the expansion of (a³ -3a²b + 3ab² – b³)⁵⁰ is:
Choice (a) is correct. We have, (a³ -3a²b + 3ab² - b³)⁵⁰ = {(a - b)³}⁵⁰ = (a - b)¹⁵⁰ We know that the total number of terms in the expansion of (x + a)ⁿ is (n + 1). Total number of terms in the expansion of (a - b)¹⁵⁰ is (150 + 1) = 151. Total number of terms in the expansion of (a³ - 3a²b + 3ab² -Read more
Choice (a) is correct.
We have, (a³ -3a²b + 3ab² – b³)⁵⁰ = {(a – b)³}⁵⁰ = (a – b)¹⁵⁰
We know that the total number of terms in the expansion of (x + a)ⁿ is (n + 1).
Total number of terms in the expansion of (a – b)¹⁵⁰ is (150 + 1) = 151.
Total number of terms in the expansion of (a³ – 3a²b + 3ab² – b³)⁵⁰ is 151.
This question related to Chapter 7 maths Class 11th NCERT. From the Chapter 7: Binomial Theorem. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-7
The total number of terms in the expansion of (x + a)⁵⁰¹ + (x – a)⁵⁰¹ is :
Choice (c) is correct We know that the total number of terms in the expansion of (x + a)ⁿ is (n + 1). Total number of terms in the expansion of (x + a)⁵⁰¹ is (501 + 1) = 502. Total number of terms in the expansion of (x + a)⁵⁰¹ + (x - a)⁵⁰¹ is 251 terms get cancelled. This question related to ChapteRead more
Choice (c) is correct
We know that the total number of terms in the expansion of (x + a)ⁿ is (n + 1).
Total number of terms in the expansion of (x + a)⁵⁰¹ is (501 + 1) = 502.
Total number of terms in the expansion of (x + a)⁵⁰¹ + (x – a)⁵⁰¹ is 251 terms get cancelled.
This question related to Chapter 7 maths Class 11th NCERT. From the Chapter 7: Binomial Theorem. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-7