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Q.

When photons of wavelength λ1 are incident on an isolated sphere suspended by an insulated thread, the corresponding stopping potential is found to be Z. When photons of wave length λ2 are used, the corresponding stopping potential was thrice the above value. If light of wavelength λ3 is used, calculate the stopping potential for this case.

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a

hce1λ3+12λ2−1λ1

b

hce1λ3+12λ2−32λ1

c

hce1λ3+1λ2−1λ1

d

hce1λ3−1λ2−1λ1

answer is B.

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Detailed Solution

KEλ1=hcλ1−ψ=eΔVKEλ2=hcλ2−ψ=2eΔV⇒ 3hcλ1−ψ=hcλ2−ψ⇒ ψ=hc32λ1−12λ2 ⇒ KEλ3=hcλ3−hc32λ1−12λ2 =hc1λ3+12λ2−32λ1eΔV=hc1λ3+12λ2−32λ1ΔV=hce1λ3+12λ2−32λ1

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When photons of wavelength λ1 are incident on an isolated sphere suspended by an insulated thread, the corresponding stopping potential is found to be Z. When photons of wave length λ2 are used, the corresponding stopping potential was thrice the above value. If light of wavelength λ3 is used, calculate the stopping potential for this case.