x - rays can penetrate body tissues and are widely used to diagnose and treat disorders of internal body…
x - rays can penetrate body tissues and are widely used to diagnose and treat disorders of internal body structures. what is the frequency of an x - ray with a wavelength of 1.15 x 10^-10 m? * (0.5 points)\n2.61 x 10^18 hz\n1.74 x 10^23 hz\n5.76 x 10^-24 hz\n7.62 x 10^-44 hz\n3.83 x 10^-19 hz
Answer
Explanation:
Step1: Recall the wave - speed formula
The speed of light $c$ is related to frequency $f$ and wavelength $\lambda$ by the formula $c = f\lambda$, where $c=3\times 10^{8}\ m/s$. We need to solve for $f$, so $f=\frac{c}{\lambda}$.
Step2: Substitute the values
Given $\lambda = 1.15\times 10^{-10}\ m$ and $c = 3\times 10^{8}\ m/s$. Then $f=\frac{3\times 10^{8}}{1.15\times 10^{-10}}$. Using the rule of exponents $\frac{a^{m}}{a^{n}}=a^{m - n}$, we have $f=\frac{3}{1.15}\times10^{8-\left(-10\right)}=\frac{3}{1.15}\times 10^{18}$. $\frac{3}{1.15}\approx2.61$, so $f = 2.61\times 10^{18}\ Hz$.
Answer:
A. $2.61\times 10^{18}\ Hz$