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3 years ago

8

The wavelength of violet light in a spectrum is about 0.0000004 meters. which number best approximates this length as a power of

10
A. 4 x 10^-7
B. 4 x 10^-6
C. -4 x 10^7
D. 4 x 10^7

2 answers:

8090 [49]3 years ago

7 0

Answer:

Option A is correct.

Step-by-step explanation:

The wavelength of violet light in a spectrum is about 0.0000004 meters.

Now, we have to express this wavelength best approximate as a power of 10.

Now, 0.0000004 can be written as $\frac{4}{10000000}$

Therefore, 0.0000004 meters = $\frac{4}{10^{7} }$ meters

So, 0.0000004 meters = $4 \times 10^{-7}$ meters

Hence, option A gives the correct answer. ( Answer )

Marysya12 [62]3 years ago

4 0

Answer:

A.

Step-by-step explanation:

Hope this helps.

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Step-by-step explanation:

$\bf➤ \underline{Given-} \\$

$\sf{x^{2013} + \frac{1}{x^{2013}} = 2}\\$

$\bf➤ \underline{To\: find-} \\$

$\sf {the\: value \: of \: x^{2022} + \frac{1}{x^{2022}}= ?}\\$

$\bf ➤\underline{Solution-} \\$

<u>Let us assume that:</u>

$\rm: \longmapsto u = {x}^{2013}$

<u>Therefore, the equation becomes:</u>

$\rm: \longmapsto u + \dfrac{1}{u} = 2$

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<u>Now substitute the value of u. We get:</u>

$\rm: \longmapsto {x}^{2013} = 1$

$\rm: \longmapsto x = 1$

<u>Therefore:</u>

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$\rm: \longmapsto {x}^{2022} + \dfrac{1}{ {x}^{2022} } = 2$

★ <u>Which is our required answer.</u>

$\textsf{\large{\underline{More To Know}:}}$

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b)(a - b)

(a + b)³ = a³ + 3ab(a + b) + b³

(a - b)³ = a³ - 3ab(a - b) - b³

a³ + b³ = (a + b)(a² - ab + b²)

a³ - b³ = (a - b)(a² + ab + b²)

(x + a)(x + b) = x² + (a + b)x + ab

(x + a)(x - b) = x² + (a - b)x - ab

(x - a)(x + b) = x² - (a - b)x - ab

(x - a)(x - b) = x² - (a + b)x + ab

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