Q82 / 90 · JEE Main 2023 (13 Apr Shift 2) · Physics

An atom absorbs a photon of wavelength 500 nm and emits another photon of wavelength 600 nm. The net energy absorbed by the atom in this process is n×10-4eV. The value of n is [Assume the atom to be stationary during the absorption and emission process] (Take h=6.6×10-34J s and c=3×108 m s-1 ).

Correct answer: 4125

Solution

The energy of a photon is given by E=hcλ.

It is given that λ1=500 nm, λ2=600 nm.

The net energy absorbed is 

ΔE=hcλ1-hcλ2=hc10-9(1500-1600)

=6.6×10-34×3×108×100500×600×10-9

=6.6×330×10-19 J

1 eV=1.6×10-19 J

=6.6×330×1.6eV

=4125×10-4 eV

Hence, the correct answer is 4125.

Relevant Questions