The work function of a metal is w0 and $λ$ is wavelength of incident radiation. There is no emission of photoelectron when

Option 1 - <math> <mrow> <mi>λ</mi> <mo>=</mo> <mfrac> <mrow> <mi>h</mi> <mi>c</mi> </mrow> <mrow> <msub> <mrow> <mi>w</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> </mrow> </mfrac> </mrow> </math>

Option 2 - <math> <mrow> <mi>λ</mi> <mo><</mo> <mfrac> <mrow> <mi>h</mi> <mi>c</mi> </mrow> <mrow> <msub> <mrow> <mi>w</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> </mrow> </mfrac> </mrow> </math>

Option 3 - <math> <mrow> <mi>λ</mi> <mo>≤</mo> <mfrac> <mrow> <mi>h</mi> <mi>c</mi> </mrow> <mrow> <msub> <mrow> <mi>w</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> </mrow> </mfrac> </mrow> </math>

Option 4 - <math> <mrow> <mi>λ</mi> <mo>></mo> <mfrac> <mrow> <mi>h</mi> <mi>c</mi> </mrow> <mrow> <msub> <mrow> <mi>w</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> </mrow> </mfrac> </mrow> </math>

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Vishal Baghel | Contributor-Level 10

4 months ago

Correct Option - 4

Detailed Solution:

For no emission of electron

$λ > λ_{0}$

$? λ_{0} = \frac{h c}{w_{0}}, s o λ > \frac{h c}{w_{0}}$

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Physics Dual Nature of Radiation and Matter 2021

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