someone tell me why this answer is wrong...u are given final wavelength of 0.0022 nm, u want to solve for the intial wavelength using the compton scattering equation which is

final wl -intial wl= 0.002426(1-cos(theta)) theta is 45 degrees.

so initial w.l. = 0.002426(1-cos45)+0.0022 which is 0.00291 nm!!
just want to know why i got a point off

Based on the information provided, it seems like you made a mistake in your calculation. Let's break down the steps to find the initial wavelength using the Compton scattering equation:

1. Given information:
- Final wavelength (λf) = 0.0022 nm
- Scattering angle (θ) = 45 degrees
- Compton scattering equation: Δλ = λf - λi = 0.002426 * (1 - cosθ)

2. Substitute the given values into the equation:
Δλ = 0.002426 * (1 - cos(45))
= 0.002426 * (1 - sqrt(2)/2)
≈ 0.002426 * (1 - 0.707)
≈ 0.002426 * 0.293
≈ 0.000711158

3. Rearrange the equation to solve for the initial wavelength (λi):
λi = λf - Δλ
= 0.0022 - 0.000711158
≈ 0.001488842 nm

According to the calculation, the approximate value for the initial wavelength (λi) is 0.001488842 nm.

It is possible that you made an error during the calculation, leading to the wrong answer of 0.00291 nm. Make sure to carefully follow the steps and recheck your calculations to identify the mistake.