The threshold wavelength for a metal whose work function is W0 is λ0· What is the threshold wavelength for a metal whose work function is W02?

W0=hcλ0For a metal of work function W02, the threshold wavelength λ is given byW02=hcλThus λ=2λ0

The threshold wavelength for a metal whose work function is W0 is λ0· What is the threshold wavelength for a metal whose work function is W02?

W0=hcλ0For a metal of work function W02, the threshold wavelength λ is given byW02=hcλThus λ=2λ0

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The threshold wavelength for a metal whose work function is W₀ is $λ_{0}$ · What is the threshold wavelength for a metal whose work function is $\frac{W_{0}}{2}$ ?

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$\frac{λ_{0}}{4}$

$\frac{λ_{0}}{2}$

$2 λ_{0}$

$4 λ_{0}$

answer is C.

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Detailed Solution

$W_{0} = \frac{h c}{λ_{0}}$

For a metal of work function $\frac{W_{0}}{2},$ the threshold wavelength $λ$ is given by

$\frac{W_{0}}{2} = \frac{h c}{λ}$

Thus $λ = 2 λ_{0}$

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The threshold wavelength for a metal whose work function is W0 is λ0· What is the threshold wavelength for a metal whose work function is W02?

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The threshold wavelength for a metal whose work function is W₀ is $λ_{0}$ · What is the threshold wavelength for a metal whose work function is $\frac{W_{0}}{2}$ ?