First slide

Photoelectric effect and study of photoelectric effect

Question

The eye can detect 5 x 10⁴ photons (m² s)^-1 of green light ( $λ$ =5000 $\overset{o}{A}$ ), while ear can detect 10^-13 W m^-2. As a power detector, which is more sensitive and by what factor?

Moderate

A

Eye is more sensitive and by a factor of 5.00
B

Ear is more sensitive by a factor of 5.00
C

Both are equally sensitive
D

Eye is more sensitive by a factor of 10^-1

Solution

Energy received by the eye,
$\begin{matrix} E = \frac{n h c}{λ} = \frac{5 \times 10^{4} \times 6.6 \times 10^{- 34} \times 3 \times 10^{8}}{5000 \times 10^{- 10}} \\ = 0.2 \times 10^{- 13} {Wm}^{- 2} \end{matrix}$
So, eye is more sensitive by a factor $\frac{1}{0.200} = 5.00$

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