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Q.

A tube emits light of wavelength 5296 Å. The bulb is rated as 200 watt and 20% of the energy is converted into light. If the whole light emitted is allowed to fall on a metal surface having work function $3.00 \times 10^{- 19} J,$ the number of electrons ejected in 10 s is
$106.58 \times 10^{x}$ The value of x is _________.

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answer is 19.

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Detailed Solution

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$W = 3 \times 10^{- 19} J$
$E = \frac{h c}{λ} = \frac{6.625 \times 10^{- 34} \times 3 \times 10^{8}}{5296 \times 10^{- 10}} = 3.753 \times 10^{- 19} J$
200 × 0.2 = 40 J is incident per second.
Or 400 J in 10 second.
Now, $3.753 \times 10^{- 19} \times n = 400$
$\Rightarrow n = 106.58 \times 10^{19}$ electrons are ejected

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A tube emits light of wavelength 5296 Å. The bulb is rated as 200 watt and 20% of the energy is converted into light. If the whole light emitted is allowed to fall on a metal surface having work function 3.00 × 10−19 J, the number of electrons ejected in 10 s is 106.58×10x The value of x is _________.