Question

The speed of a light wave in a certain transparent material is 0.589 times its speed in vacuum, which is 3.00 x108 m/s. When yellow light with a frequency of 5.25 x104 Hz passes through this material, what is its wavelength in nanometers? Number 囗 n m

Answer 1

The wavelength of the yellow light in given transparent material is 337 nm

Step-by-step explanation:

Speed of the light in vacuum ,
`c=3.00* 10^(8)(m)/(s)`

Therefore speed of light in the given material is
`v=0.589* c`

=>
`v=0.589* 3.00* 10^(8)(m)/(s)=1.767* 10^(8)(m)/(s)`

frequency of yellow light ,
`f=5.25* 10^(14)Hz`

Wavelength in the given transparent material ,
`\lambda =(v)/(f)=(1.767* 10^(8))/(5.25* 10^(14))m`

=>
`\lambda =3.366* 10^(-7)m=336.6nm`

=>
`\lambda \simeq 337nm`

Thus the wavelength of the yellow light in given transparent material is 337 nm