Dual Nature Of Radiation And Matter Ques 57

57. Light of wavelength $5000 $ $\AA$ falls on a sensitive plate with photo-electric work function of $1.9$ $eV$. The kinetic energy of the photo-electrons emitted will be

[1998]

(a) $0.58$ $ eV$

(b) $2.48$ $ eV$

(c) $1.24$ $ eV$

(d) $1.16$ $ eV$

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Answer:

Correct Answer: 57.(a)

Solution:

  1. (a) K.E. $=h v-h v_0$

$ \begin{aligned} & =\frac{h c}{\lambda}-h v_0=\frac{12375}{5000}-1.9 \\ & =2.48-1.9=0.58 eV \end{aligned} $