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Q.

Let K1   and   K2  be the maximum kinetic energies of photoelectrons emitted when two monochromatic  beams of wavelength  λ1  and λ2  , respectively are incident on a metallic surface. If  λ1=3λ2  then 

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a

K1>K23

b

K1<K23

c

K1=K23

d

K2=K13

answer is B.

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Detailed Solution

using einstein’s photoelectric equation.
 (KE)max=hcλhcλ0
where λ0,  = cur off wavelength.
so,  k1=hcλ1hcλ0
 3k1=3hcλ13hcλ0
 3k1=hcλ23hcλ0    ....(ii)
similarly,  k2=hcλ2hcλ0    ....(ii)
subtracting eq.(ii)  from eq. (i), we get  
 3k1k2=2hcλ0k23k1=2hcλ0 k23k1=2ϕ k2>3k1k1<k23
 
 

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Let K1   and   K2  be the maximum kinetic energies of photoelectrons emitted when two monochromatic  beams of wavelength  λ1   and λ2   , respectively are incident on a metallic surface. If  λ1 =3λ2  then