(B) According to Einstein's photoelectric equation: $K_{max} = h\nu - W_0$,where $W_0$ is the work function.Initially: $0.4 = h\nu - W_0 \implies h\nu

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(B) According to Einstein's photoelectric equation: $K_{max} = h\nu - W_0$,where $W_0$ is the work function.Initially: $0.4 = h\nu - W_0 \implies h\nu = 0.4 + W_0$ ... $(i)$When frequency is increased by $30 \%$,the new frequency $\nu' = 1.3\nu$. The new kinetic energy is $0.9 \ eV$.So,$0.9 = 1.3h\nu - W_0$ ... (ii)Substitute $(i)$ into (ii): $0.9 = 1.3(0.4 + W_0) - W_0$$0.9 = 0.52 + 1.3W_0 - W_0$$0.9 - 0.52 = 0.3W_0$$0.38 = 0.3W_0$$W_0 = \frac{0.38}{0.3} = 1.267 \ eV$.

Class 12 Physics Dual Nature of Radiation and matter Einstein's Photoelectric Equation and Energy Quantum of Radiation

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On a photosensitive material,when the frequency of incident radiation is increased by $30 \%$,the kinetic energy of emitted photoelectrons increases from $0.4 \ eV$ to $0.9 \ eV$. The work function of the surface is (in $eV$)

MHT CET 2017 All MHT CET

A
$1$
B
$1.267$
C
$1.4$
D
$1.8$

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Dual Nature of Radiation and matter

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Einstein's Photoelectric Equation and Energy Quantum of Radiation

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On a photosensitive material,when the frequency of incident radiation is increased by $30 \%$,the kinetic energy of emitted photoelectrons increases from $0.4 \ eV$ to $0.9 \ eV$. The work function of the surface is (in $eV$)

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