the frequency (f) and length (l) of a wave are related by the following formula: $f\times l =…

the frequency (f) and length (l) of a wave are related by the following formula: $f\times l = 3.0\times10^{10}$. consider that the wavelength of x - rays is $1\times10^{-11}$. what is the frequency of x - rays?\na $1.1\times10^{21}$\nb $1.1\times10^{24}$\nc $3.0\times10^{21}$\nd $3.0\times10^{20}$\ne $3.0\times10^{24}$

the frequency (f) and length (l) of a wave are related by the following formula: $f\times l = 3.0\times10^{10}$. consider that the wavelength of x - rays is $1\times10^{-11}$. what is the frequency of x - rays?\na $1.1\times10^{21}$\nb $1.1\times10^{24}$\nc $3.0\times10^{21}$\nd $3.0\times10^{20}$\ne $3.0\times10^{24}$

Answer

Explanation:

Step1: Rearrange the formula

Given $F\times L = 3.0\times10^{10}$, we can solve for $F$ as $F=\frac{3.0\times10^{10}}{L}$.

Step2: Substitute the value of $L$

We know $L = 1\times10^{- 11}$. Substituting this into the formula for $F$, we get $F=\frac{3.0\times10^{10}}{1\times10^{-11}}$. Using the rule of exponents $\frac{a^m}{a^n}=a^{m - n}$, we have $F = 3.0\times10^{10-(-11)}=3.0\times10^{21}$.

Answer:

E. $3.0\times10^{21}$