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3 years ago

Help me please ..........................

Mathematics

1 answer:

attashe74 [19]3 years ago

3 0

Step-by-step explanation:

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According to Lambert's law, the intensity of light from a single source on a flat surface at point P is given by Upper L equal

malfutka [58]

Answer:

(a) $L = k*(1 - sin^{2}(\theta))$

(b) L reaches its maximum value when θ = 0 because cos²(0) = 1

Step-by-step explanation:

Lambert's Law is given by:

$L = k*cos^{2}(\theta)$ (1)

(a) We can rewrite the above equation in terms of sine function using the following trigonometric identity:

$cos^{2}(\theta) + sin^{2}(\theta) = 1$

$cos^{2}(\theta) = 1 - sin^{2}(\theta)$ (2)

By entering equation (2) into equation (1) we have the equation in terms of the sine function:

$L = k*(1 - sin^{2}(\theta))$

(b) When θ = 0, we have:

$L = k*cos^{2}(\theta) = k*cos^{2}(0) = k$

We know that cos(θ) is a trigonometric function, between 1 and -1 and reaches its maximun values at nπ, when n = 0,1,2,3...

Hence, L reaches its maximum value when θ = 0 because cos²(0) = 1.

I hope it helps you!

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Naomi drink 3/4 of a 20.8 Oz container of apple juice how much ounce of apple juice did naomi drink

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15.6 hope this helps

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Find the common difference of the sequence shown 1/6,1/3,1/2,2/3,......

tekilochka [14]

Answer:

Common Difference(d) is

$d=\frac{1}{6}$

Step-by-step explanation:

Given sequence is :

$\frac{1}{6}, \frac{1}{3} ,\frac{1}{2} ,\frac{2}{3} .........$

If a sequence has a constant common difference throughout the sequence, then the sequence is called Arithmetic Progression.

Considering a sequence:

$a_1,a_2,a_3,a_4..........\\$

$a_2-a_1=a_3-a_2=a_4-a_3=a_n-a_n_-_1=d$

where 'd' is the common difference of the A.P.

Similarly, finding the common difference of the given sequence.

$\frac{1}{3} -\frac{1}{6}= \frac{1}{2}- \frac{1}{3}=\frac{2}{3} - \frac{1}{2}=d\\$

$d=\frac{1}{3}-\frac{1}{6}=\frac{(2)(1)-(1)(1)}{6}=\frac{1}{6}$

$d=\frac{1}{6}$

Common Difference(d) is

$d=\frac{1}{6}$

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Answer:

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