Question

given \\(x\\) = wavelength and \\(y\\) = frequency are inversely related, solve for the constant for the given type of radiation.

gamma-rays
frequency = 40 hz
wavelength = 300,000

\\(k = 0.0001\\)
\\(k = 7,500\\)
\\(k = 12,000,000\\)
\\(k = 40,000,000\\)

Explanation:

Set up the inverse variation equation

$$ y = \frac{k}{x} \implies k = x \cdot y $$

Substitute the given values

$$
LATEXBLOCK0
$$

Calculate the constant of variation

$$ k = 12{,}000{,}000 $$

Answer:

• (A) \(k = 0.0001\)
• (B) \(k = 7,500\)
• (C) \(k = 12,000,000\) (Correct answer)
• (D) \(k = 40,000,000\)