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← JEE Main 2022 · 24 Jun · Shift 2
PhysicsSingle correct+4 / -1Question 48 of 90

JEE Main 2022 · 24 Jun · Shift 2, Physics question 48

The light of two different frequencies whose photons have energies 3.8 eV and 1.4 eV respectively, illuminate a metallic surface whose work function is 0.6 eV successively. The ratio of maximum speeds of emitted electrons for the two frequencies respectivly will be :

Choose one option
Answer and worked solution

Official answer: B

Kinetic energies. 3.8−0.6=3.23.8-0.6=3.2 eV and 1.4−0.6=0.81.4-0.6=0.8 eV.

Speeds. v∝Kv\propto\sqrt K, so v1v2=3.20.8=2\dfrac{v_1}{v_2}=\sqrt{\dfrac{3.2}{0.8}}=2, i.e. 2:12:1.

(B)