Final answer:
The energy of light at a wavelength of 655 nm is calculated using the energy formula E = hc/λ, with known constants for Planck's constant and the speed of light, then converting the result from Joules to electronvolts if needed.
Step-by-step explanation:
The energy of light emitted by a metal when burnt in a Bunsen flame that emits light with a wavelength of 655 nm can be calculated using the formula E = hc/λ, where E is the energy, h is Planck's constant (6.63 x 10⁻³⁴J·s), c is the speed of light (2.998 x 10⁸ m/s), and λ is the wavelength in meters. First, convert the wavelength from nm to meters by multiplying by 10⁻⁹. Then, plug the values into the equation to find the energy in Joules. Finally, to convert energy from Joules to electronvolts (eV), divide by 1.602 x 10⁻¹⁹, the value of 1 eV in Joules.