1.

Light of wavelength `lambda_(A)` and `lambda_(B)` falls on two identical metal plates A and B respectively . The maximum kinetic energy of photoelectrons in `K_(A)` and `K_(B)` respectively , then which one of the following relations is true ? `(lambda_(A) = 2lambda_(B))`A. `K_(A) lt (K_(B))/(2)`B. `2 K_(A) = K_(B)`C. `K_(A) = 2K_(B)`D. `K_(A) gt 2 K_(B)`

Answer» Correct Answer - A
According to Einstein photoelectric equation
`K_(A) = (hc)/(lambda_(A)) - phi implies 2K_(A) = (2hc)/(lambda_(A)) - 2 phi`
or `2 K_(A) + phi = (2hc)/(lambda_(A)) - phi`
Wavelength of metal B is half of metal A
`therefore 2 K_(A) + phi = K_(B)`
`implies K_(A) lt (K_(B))/(2)`


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