What is the wavelength (angstroms)of a photon that has an energy of 5.69 × 10^-17 J? A)454 angstroms B)34.9 angstroms C)6.89 × 10¹⁵ angstroms D)3.66 × 10⁹ angstroms E)3.50 × 10^-9 angstroms

Question

Quizplus · Accepted Answer

The wavelength (in meters) of a photon can be calculated using the equation λ = hc/E, where h is Planck's constant (6.626 × 10^-34 J.s), c is the speed of light (2.998 × 10^8 m/s), and E is the energy of the photon in joules. Then, the wavelength in angstroms can be obtained by multiplying by 10^10. 
So, 
λ = hc/E = (6.626 × 10^-34 J.s)(2.998 × 10^8 m/s)/(5.69 × 10^-17 J) = 3.47 × 10^-9 m = 34.7 nm = 347 angstroms. 
Therefore, the correct choice is B) 34.9 angstroms (rounded to the nearest tenth).

What Is the Wavelength (Angstroms)of a Photon That Has an Energy