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 violet light is $1.3\times10^{-8}$. what is the frequency of violet light? a $1.7\times10^{2}$ b $2.3\times10^{2}$ c $4.3\times10^{2}$ d $2.3\times10^{18}$ e $3.9\times10^{18}$

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 violet light is $1.3\times10^{-8}$. what is the frequency of violet light? a $1.7\times10^{2}$ b $2.3\times10^{2}$ c $4.3\times10^{2}$ d $2.3\times10^{18}$ e $3.9\times10^{18}$

Answer

Explanation:

Step1: Rearrange the formula for frequency

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

Step2: Substitute the value of wavelength

Substitute $L = 1.3\times 10^{- 8}$ into the formula for $F$. So $F=\frac{3.0\times 10^{10}}{1.3\times 10^{-8}}$. Using the rule of exponents $\frac{a^m}{a^n}=a^{m - n}$, we have $F=\frac{3.0}{1.3}\times10^{10-(-8)}=\frac{3.0}{1.3}\times10^{18}$. $\frac{3.0}{1.3}\approx2.3$, so $F\approx2.3\times 10^{18}$.

Answer:

D. $2.3\times 10^{18}$