Question

wavelength varies inversely with frequency. let k be the product of wavelength and frequency. complete the table using the inverse variation relationship.

visible light	wavelength (m)	frequency (thz)	k
green	520	580	b
yellow	c	540	302,400
red	635	480	304,800

a =

b = 301,

Explanation:

Step1: Find \( a \) (Blue light's frequency)

Given \( k=\text{wavelength}\times\text{frequency} \), for Blue light: \( 450\times a = 301500 \). Solve for \( a \): \( a=\frac{301500}{450}=670 \).

Step2: Find \( b \) (Green light's \( k \))

For Green light: \( b = 520\times580 \). Calculate: \( 520\times580 = 301600 \), so the missing digit is \( 600 \) (since \( b = 301,600 \)).

Answer:

\( a = 670 \)
\( b = 301,600 \) (the missing part is \( 600 \))