Question

question 1
5 pts

1. a gamma ray has a frequency of v = 2.88×10²¹ hz. please solve for wavelength.

1.04×10 - 13 m
1.04×10 13 m
1.5×10 - 13 m
1.5×10 13m

Explanation:

Step1: Recall the wave - speed formula

The speed of light $c$ is related to frequency $
u$ and wavelength $\lambda$ by the formula $c = \lambda
u$, where $c=3\times 10^{8}\ m/s$. We need to solve for $\lambda$, so $\lambda=\frac{c}{
u}$.

Step2: Substitute the given values

Given $
u = 2.88\times 10^{21}\ Hz$ and $c = 3\times 10^{8}\ m/s$. Then $\lambda=\frac{3\times 10^{8}}{2.88\times 10^{21}}$.
Using the rule of exponents $\frac{a^{m}}{a^{n}}=a^{m - n}$, we have $\lambda=\frac{3}{2.88}\times10^{8 - 21}$.
$\frac{3}{2.88}\approx1.04$ and $8-21=- 13$. So $\lambda = 1.04\times 10^{-13}\ m$.

Answer:

1.04×10 - 13 m