Question

An x-ray has a wavelength of 4.18 Å. Calculate the energy (in J) of one photon of this radiation. Enter your answer in scientific notation

Answer 1

E = 4.75 x 10⁻¹⁶ J

Step-by-step explanation:

given,

wavelength of the x-ray , λ = 4.18 Å

Energy of photon = ?

we know

`E = (hc)/(\lambda)`

where h is the planks constant

c is the speed of light

h = 6.626 x 10⁻³⁴ m² kg / s

c = 3 x 10⁸ m/s

now,

`E = (6.626* 10^(-34)* 3 * 10^8)/(4.18* 10^(-10))`

E = 4.75 x 10⁻¹⁶ J

hence, the energy of the photon is equal to E = 4.75 x 10⁻¹⁶ J