Answer to Question #98649 in General Chemistry for Zee

Question

1) What is the wavelength of radiation with a frequency of 7.30 x 10^15 sec^-1?
2) Find the frequency of radiation that has energy of 3.8 x 10^-10 J.

Answer 1

Q98649

Solution:

1.$\lambda =?; \nu=7.30*10^{15}s^{-1}$

We know; $\lambda=c/ \nu;$ where $c=3*10^8 ms^{-1}$ (speed of light)

$=3*10^8/(7.30*10^{15})$

$=4.109*10^{-8}m.$

$=41.096 nm.$

2.$\nu =?; E=3.8*10^{-10}J$

We know ; $E=h\nu$ ; where $h=6.626*10^{-34} Js$ (Planck's constant)

$\implies \nu=E/h$

$=3.8*10^{-10}/(6.626*10^{-34})$

$=5.735*10^{23}s^{-1}$ .