Determine the energy of a photon with a wavelength of 357 nm. (h = 6.626 × 10⁻³⁴ J • s and c = 3.00 × 10⁸ m/s)
Step 1: Explanation
We know, E= hv where h = planck's constant = 6.626 × 10-34 J-s
frequency (v) = C/λ
and C = 3 × 108 m/s =speed of light
so the equation becomes
or, E= hv
or, E= hc / λ
Step 2: Calculation
Given, wavelength = 357 nm = 357 × 10-9 m [ because 1 nm = 10-9 m ]
So by using above equation
E= hc / λ
=> E= ( 6.626 × 10-34 J-s × 3 × 108 m/s ) / 357 × 10-9 m = 5.57 ×10-19 J
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