Question

Optical disk drives in Sony PS2 contain a laser that produced two different wavelengths of light (650.0 and 780.0 nm). What is the energy in kJ/mol at the shorter of these two wavelengths?

Answer 1

Answer:- Energy of shorter wavelength is 3.06*10^-19 J.

Solution:- The two given wavelengths are 650.0 nm and 780.0 nm. The shorter wavelength is 650.0 nm. Eneregy is calculated from wavelength using the formula:

where, h is planck's constant with the value 6.626*10^-34 J.s, c is speed of light with the value 3.00*10⁸ m.s^-1 and lambda(upside down y) is wavelength.

since, 1nm = 10^-9 m

=

Let's plug in the values in the energy equation and so the calculations:

E = (6.626*10^-34J.s x 3.00*10⁸m.s^-1)/6.500*10^-7m

E = 3.06*10^-19 J

So, the energy of the shorter wavelength is 3.06*10^-19 J.