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Q.

When photons of wavelength λ are incident on an isolated sphere suspended by an isolated thread, the corresponding stopping potential is found to be V. When photons of wavelength λ2 are used, the corresponding stopping potential was thrice the above value. If the light of wavelength λ3 is used, then calculate the stopping potential for this case.

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a

54hCλ

b

54hCeλ

c

52hCeλ

d

hCzeλ

answer is C.

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Detailed Solution

K1=hCλ−ϕ=eV…(i)K2=2hCλ−ϕ=e3V…... (ii) From (i) and (ii)hCλ−ϕ3=2hCλ−ϕ3hCλ−3ϕ=2hCλ−ϕhCλ=2ϕ⇒ϕ=hC2λ… (iii) hCλ/3−ϕ=eV0hCλ/3−hC2λ=eV0hCλ3−12=eV0⇒V0=5hC2eλ
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When photons of wavelength λ are incident on an isolated sphere suspended by an isolated thread, the corresponding stopping potential is found to be V. When photons of wavelength λ2 are used, the corresponding stopping potential was thrice the above value. If the light of wavelength λ3 is used, then calculate the stopping potential for this case.