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1.4.1 Binomial expansion for positive integer n

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Question 4

A theoretical model for the refractive index $μ\mu$ of a specialized optical glass depends on the incident light wavelength $λ\lambda$ according to the relation

\mu(\lambda) = \left( \frac{16}{25} + \frac{2}{5}\lambda \right)^{-\frac{3}{2}}

Determine the range of values of $λ\lambda$ for which the binomial expansion of $μ(λ)\mu(\lambda)$ in ascending powers of $λ\lambda$ is valid.

[3]

Markscheme

1.4.1 Binomial expansion for positive integer n Questions

A Level
Maths
1.4.1 Binomial expansion for positive integer n

108 exam-style questions on OCR A Level Maths 1.4.1 Binomial expansion for positive integer n. Each one has a worked solution and a mark scheme showing where the marks go.

1.4.1 Binomial expansion for positive integer n

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1.4.1 Binomial expansion for positive integer n

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

Question 4

A theoretical model for the refractive index $μ\mu$ of a specialized optical glass depends on the incident light wavelength $λ\lambda$ according to the relation

\mu(\lambda) = \left( \frac{16}{25} + \frac{2}{5}\lambda \right)^{-\frac{3}{2}}

Determine the range of values of $λ\lambda$ for which the binomial expansion of $μ(λ)\mu(\lambda)$ in ascending powers of $λ\lambda$ is valid.

[3]

Markscheme

1.4.1 Binomial expansion for positive integer n Questions

A Level
Maths
1.4.1 Binomial expansion for positive integer n

108 exam-style questions on OCR A Level Maths 1.4.1 Binomial expansion for positive integer n. Each one has a worked solution and a mark scheme showing where the marks go.