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Q.

When photons of wavelength λ1  are incident on an isolated sphere, the corresponding stopping potential is found to be V. When photons of wavelength λ2  are used, the corresponding stopping potential was thrice that of the above value. If light of wavelength λ3  is used then find the stopping Potential for this case:

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a

hce1λ31λ21λ1

b

hce1λ3+1λ21λ1

c

hce1λ332λ1+12λ2

d

hce1λ3+12λ21λ1

answer is D.

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Detailed Solution

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From Einstein’s photoelectric  equation, we have 
 hcλ1=hcλ0+eV ……..(1)
 hcλ2=hcλ0+3eV ……. (2)
hcλ3=hcλ0+eV' ………. (3)
From equation (1)& (2)
32λ112λ2=1λ0 hcλ1hc[32λ112λ2]=eV' hce[1λ332λ1+12λ2]=V'

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