Question

Propagation of plane electromagnetic wave in conducting and nonconducting

Answer 1

Answer:

Explanation:

First method :

√35 < √36

=> 12 + 2√35 < 12 + 2√36

=> (√7 + √5)^2 < (√6 + √6)^2

=> √7 + √5 < √6 + √6 [ If a,b > 0 then a^2 < b^2 => a < b]

=> √7 - √6 < √6 - √5

=> A < B

Second method :

Consider f :(1, ∞) -> R such that

f(x) = √x - √(x-1)

f’(x) = 1/2(1/√x - 1/√(x-1)) < 0 for all x.

therefore f is strictly decreasing.

Hence f(7) < f(6)

=> √7 - √6 < √6 - √5

=> A < B

Answer 2

Answer:

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