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JEE PYQ: Atomic Physics Question 28

Question 28 - 2020 (03 Sep Shift 2)

If a semiconductor photodiode can detect a photon with a maximum wavelength of 400 nm, then its band gap energy is:

Planck’s constant, $h = 6.63 \times 10^{-34}$ J.s. Speed of light, $c = 3 \times 10^8$ m/s.

(1) 1.1 eV

(2) 2.0 eV

(3) 1.5 eV

(4) 3.1 eV

Show Answer

Answer: (4)

Solution

Wavelength of photon, $\lambda = 400$ nm. A photodiode can detect a wavelength corresponding to the energy of band gap. Band gap $E_g = \frac{hc}{\lambda} = \frac{1237.5}{400} = 3.09$ eV $\approx 3.1$ eV.


Learning Progress: Step 28 of 66 in this series