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

Answer:

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

Explanation:

Speed of the light in vacuum , $c=3.00\times 10^{8}\frac{m}{s}$

Therefore speed of light in the given material is $v=0.589\times c$

=>$v=0.589\times 3.00\times 10^{8}\frac{m}{s}=1.767\times 10^{8}\frac{m}{s}$

frequency of yellow light , $f=5.25\times 10^{14}Hz$

Wavelength in the given transparent material , $\lambda =\frac{v}{f}=\frac{1.767\times 10^{8}}{5.25\times 10^{14}}m$

=> $\lambda =3.366\times 10^{-7}m=336.6nm$

=>$\lambda \simeq 337nm$

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