Question

Hi please help, tysm. Answer is in nm

Answer 1

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