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Question: Two identical metal plates show photoelectric effect. Light of wavelength λ<sub>A</sub> falls on pla...

Two identical metal plates show photoelectric effect. Light of wavelength λA falls on plate A and λB falls on plate B. λA = 2λB. The maximum K.E. of the photoelectrons are KAand KB respectively. Which one of the following is true ?

A

2KA = KB

B

KA = 2KB

C

KA< KB/2

D

KA> 2KB

Answer

KA< KB/2

Explanation

Solution

KA = – φ = – φ  .... (i)

KB = – φ ⇒ = KB + φ .... (ii)

From eqn (i) & (ii)

KΑ = 12\frac { 1 } { 2 }(KB + φ) = 12\frac { 1 } { 2 } KBϕ2\frac { \phi } { 2 }

KA < 12\frac { 1 } { 2 } KB