Skip to content
dronacharya.ai
← JEE Main 2022 · 29 Jul · Shift 1
PhysicsSingle correct+4 / -1Question 46 of 90

JEE Main 2022 · 29 Jul · Shift 1, Physics question 46

The kinetic energy of emitted electron is E when the light incident on the metal has wavelength λ. To double the kinetic energy, the incident light must have wavelength :

Choose one option
Answer and worked solution

Official answer: B

Photoelectric equation. E=hcλ−ϕE=\frac{hc}\lambda-\phi and 2E=hcλ′−ϕ2E=\frac{hc}{\lambda'}-\phi give hcλ′=E+hcλ\frac{hc}{\lambda'}=E+\frac{hc}\lambda, so λ′=hcλEλ+hc\lambda'=\dfrac{hc\lambda}{E\lambda+hc}.

(B)