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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

hce1λ3+1λ2−1λ1

b

hce1λ3+12λ2−1λ1

c

hce1λ3−1λ2−1λ1

d

hce1λ3−32λ1+12λ2

answer is D.

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Detailed Solution

From Einstein’s photoelectric  equation, we have  hcλ1=hcλ0+eV ……..(1) hcλ2=hcλ0+3eV ……. (2)hcλ3=hcλ0+eV' ………. (3)From equation (1)& (2)32λ1−12λ2=1λ0 ⇒hcλ1−hc[32λ1−12λ2]=eV' ⇒hce[1λ3−32λ1+12λ2]=V'
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