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QJEEAdv15Ph08a2: JEE Advanced 2015 Physics - Class 12 JEEAdv15Ph08a2 Solution: For photo-electric effect with incident photon wavelength , the …

For photo-electric effect with incident photon wavelength λ\lambda , the stopping potential is V0. Identify the correct variation(s) of V0 with λ\lambda and 1λ{1 \over \lambda } .

Multiple Choice Options

  • A https://ik.imagekit.io/novatra/photos/227d0c055a33a20aa61a6b31703c04e40fe9d32477b984d3d08614bb0dbe76fd.webp
  • B https://ik.imagekit.io/novatra/photos/8e9b8ed66f08c891626b73208d29f9ca940f34c54dcead57dfc2fa252ad44e79.webp
  • C https://ik.imagekit.io/novatra/photos/ca04cf44242fdbac5aa1413a447770fa65551610dab8c632fb5d8268df7bd2be.webp
  • D https://ik.imagekit.io/novatra/photos/744a61a6e929c273026084b6b42bac4893532d1d35585ae63a9ec63e7cd88ab3.webp

Step-by-Step Verified Solution

JEE Advanced 2015 Paper 1 Offline Physics - Dual Nature of Radiation Question 16 English Explanation 1

Stopping potential (V0) is given by

eV0=hcλ−ϕe{V_0} = {{hc} \over \lambda } - \phi

Graph between V0 and λ\lambda :

eV0+ϕ=hcλe{V_0} + \phi = {{hc} \over \lambda }

(eV0+ϕ)λ=hc(e{V_0} + \phi )\lambda = hc

(eV0+ϕ)λ(e{V_0} + \phi )\lambda = constant

Here, both e and ϕ\phi are also constant. It represents a hyperbola.

For, V0 = 0, λ=constantϕ=\lambda = {{constant} \over \phi } = constant

So correct option is (a).

JEE Advanced 2015 Paper 1 Offline Physics - Dual Nature of Radiation Question 16 English Explanation 2

Graph between V0 and 1λ{1 \over \lambda } :

V0=(hce)(1λ)−(ϕe){V_0} = \left( {{{hc} \over e}} \right)\left( {{1 \over \lambda }} \right) - \left( {{\phi \over e}} \right)

It represents a straight line with slope (hce)\left( {{{hc} \over e}} \right) and intercept (−ϕe)\left( { - {\phi \over e}} \right) on V0 axis.

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