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What is the wavelength in meters of ultraviolet light withν = 2.50 x 1015 s-1?

physics
Guest Feb 12, 2015

Best Answer 

 #1
avatar+18827 
+5

What is the wavelength in meters of ultraviolet light with ν = 2.50 x 1015 s-1 ?

 

$$\\\small{\text{Light moves with a speed
$ c \,=\, 299792458\ \frac{\text{m}}{\text{s}} $ }}\\
\small{\text{We denote wavelength by
$\lambda = \mathrm{wavelength}$}}\\
\small{\text{We denote frequency by
$\nu=\mathrm{frequency} $}}\\
\small{\text{Frequency is measured in Hertz
$ = Hz = s^{-1}.$}}\\ \\
\small{\text{
$
\boxed{ \lambda =\dfrac{c}{\nu} }\qquad \nu = 2.50 \cdot 10^{15}\ s^{-1}
$
}}\\\\
\small{\text{
$
\lambda = \dfrac{2.99792458\cdot 10^8\ \dfrac{m}{s} }
{2.50 \cdot 10^{15}\ s^{-1} }
$
}}\\\\
\small{\text{
$
= 1.199169832 \cdot 10^{-7}\ m
$
}}\\
\small{\text{
$
= 119.9169832 \cdot 10^{-9}\ m
$
}}\\
\small{\text{
$
= 119.9\ nm
$
}}$$

heureka  Feb 12, 2015
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1+0 Answers

 #1
avatar+18827 
+5
Best Answer

What is the wavelength in meters of ultraviolet light with ν = 2.50 x 1015 s-1 ?

 

$$\\\small{\text{Light moves with a speed
$ c \,=\, 299792458\ \frac{\text{m}}{\text{s}} $ }}\\
\small{\text{We denote wavelength by
$\lambda = \mathrm{wavelength}$}}\\
\small{\text{We denote frequency by
$\nu=\mathrm{frequency} $}}\\
\small{\text{Frequency is measured in Hertz
$ = Hz = s^{-1}.$}}\\ \\
\small{\text{
$
\boxed{ \lambda =\dfrac{c}{\nu} }\qquad \nu = 2.50 \cdot 10^{15}\ s^{-1}
$
}}\\\\
\small{\text{
$
\lambda = \dfrac{2.99792458\cdot 10^8\ \dfrac{m}{s} }
{2.50 \cdot 10^{15}\ s^{-1} }
$
}}\\\\
\small{\text{
$
= 1.199169832 \cdot 10^{-7}\ m
$
}}\\
\small{\text{
$
= 119.9169832 \cdot 10^{-9}\ m
$
}}\\
\small{\text{
$
= 119.9\ nm
$
}}$$

heureka  Feb 12, 2015

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