Dual Nature of Radiation and Matter - Result Question 45

47. A 5 watt source emits monochromatic light of wavelength $5000 \AA$. When placed $0.5 m$ away, it liberates photoelectrons from a photosensitive metallic surface. When the source is moved to a distance of $1.0 m$, the number of photoelectrons liberated will be reduced by a factor of [2007]

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======= ####47. A 5 watt source emits monochromatic light of wavelength $5000 \AA$. When placed $0.5 m$ away, it liberates photoelectrons from a photosensitive metallic surface. When the source is moved to a distance of $1.0 m$, the number of photoelectrons liberated will be reduced by a factor of [2007]

c3eec34ec6b1fad69db54a20ad4b2dca40c2aa54 (a) 8

(b) 16

(c) 2

(d) 4

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Answer:

Correct Answer: 47. (d)

Solution:

  1. (d) Number of emitted electrons $N_E \propto$ Intensity

$\propto \frac{1}{(\text{ Distance })^{2}}$

Therefore, as distance is doubled, $N_E$ decreases by $(1 / 4)$ times.



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