Answer:
268 nm
Explanation:
The equation needed to find wavelength is:
E = hc / w
In this equation,
-----> E = energy (J)
-----> h = Planck's Constant (6.626 x 10⁻³⁴ J*s)
-----> c = speed of light (3.0 x 10⁸ m/s)
-----> w = wavelength (m)
To find the wavelength, you can plug the given values into the equation and simplify. Then, you can convert meters to nanometers.
E = hc / w
7.41 x 10⁻¹⁹ J = (6.626 x 10⁻³⁴ J*s)(3.0 x 10⁸ m/s) / w <---- Input given values
7.41 x 10⁻¹⁹ J = 1.9878 x 10⁻²⁵ / w <----- Simplify
(7.41 x 10⁻¹⁹ J) x w = 1.9878 x 10⁻²⁵ <----- Rearrange
w = 2.68 x 10⁻⁷ m <----- Simplify
2.68 x 10⁻⁷ m 1 x 10⁹ nm
---------------------- x ---------------------- = 268 nm
1 m
