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Question

Physics Question on Photoelectric Effect

λ1\lambda_1 and λ2\lambda_2 are used to illuminate the slits. β1\beta_1 and β2\beta_2 are the corresponding fringe widths. The wavelength λ1\lambda_1 can produce photoelectric effect when incident on a metal. But the wavelength λ2\lambda_2 cannot produce photoelectric effect. The correct relation between β1\beta_1 and β1\beta_1 is

A

β1<β2\beta_1 < \beta_2

B

β1=β2\beta_1 = \beta_2

C

β1>β2\beta_1 > \beta_2

D

β1β2\beta_1 \geq \beta_2

Answer

β1<β2\beta_1 < \beta_2

Explanation

Solution

Fringe width βλ\beta \propto \lambda. As given that λ1\lambda_{1} produces photo electric effect, so $\lambda_{1}