The inverse variation equation shows the relationship between wavelength in meters, x , and frequency, y . y is equal to the fraction with numerator 3 times 10 to the 8th power and denominator x What are the wavelengths for X-rays with frequency 3 times 10 to the 18th power ?
Answer
A
1 times 10 to the negative 10 power m
B
9 times 10 to the 26th power m
C
3 times 10 to the 26th power m
D
3 times 10 to the negative 10 power m
Explanation
The equation is y = (3 × 10^8)/x. Solve for wavelength by rearranging to x = (3 × 10^8)/y, then substitute the frequency 3 × 10^18: x = (3 × 10^8)/(3 × 10^18) = 10^-10 meters. Therefore, the wavelength is 1 × 10^-10 m, choice A.
AI-written and checked against the verified answer.