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

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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

#1
+20025
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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
#1
+20025
+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