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Dual Nature of Radiation question

2016 · 9 Apr · Shift 1 · Q58
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Dual Nature of Radiation question

2016 · 9 Apr · Shift 1 · Q58

JEE MainPhysicsDual Nature of RadiationMCQ+4 / −1
When photons of wavelength λ1{\lambda _1}λ1​ are incident on an isolated sphere, the corresponding stopping potential is found to be V. When photons of wavelength λ2{\lambda _2}λ2​ are used, the corresponding stopping potential was thrice that of the above value. If light of wavelength λ3{\lambda _3}λ3​ is used then find the stopping potential for this case :
  1. A
    hce[1λ3−1λ2−1λ1]{{hc} \over e}\left[ {{1 \over {{\lambda _3}}} - {1 \over {{\lambda _2}}} - {1 \over {{\lambda _1}}}} \right]ehc​[λ3​1​−λ2​1​−λ1​1​]
  2. B
    hce[1λ3+1λ2−1λ1]{{hc} \over e}\left[ {{1 \over {{\lambda _3}}} + {1 \over {{\lambda _2}}} - {1 \over {{\lambda _1}}}} \right]ehc​[λ3​1​+λ2​1​−λ1​1​]
  3. C
    hce[1λ3+12λ2−32λ1]{{hc} \over e}\left[ {{1 \over {{\lambda _3}}} + {1 \over {2{\lambda _2}}} - {3 \over {2{\lambda _1}}}} \right]ehc​[λ3​1​+2λ2​1​−2λ1​3​]
  4. D
    hce[1λ3+12λ2−1λ1]{{hc} \over e}\left[ {{1 \over {{\lambda _3}}} + {1 \over {2{\lambda _2}}} - {1 \over {{\lambda _1}}}} \right]ehc​[λ3​1​+2λ2​1​−λ1​1​]
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