# At which wavelength does a 100 mW laser deliver 1.6 × 1017 photons in one second? Let 1 eV = 1.60 × 10−19 J, the speed of light c = 3.00 × 108 m/s, and Planck’s constant h = 4.136 × 10−15 eV ∙ s.

320 nm

I'll be working in Joules exclusively.

This allows us to apply the Planck Expression:

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The wavelength can be calculated using the formula: [\lambda = \frac{hc}{E}] where:

- (h) is Planck's constant (given as (4.136 \times 10^{-15}) eV · s)
- (c) is the speed of light ((3.00 \times 10^8) m/s)
- (E) is the energy of one photon, which can be calculated from the given power of the laser (100 mW) and the number of photons (1.6 × (10^{17}))
- Convert energy from Joules to electron volts (eV) using the given conversion factor (1 eV = (1.60 \times 10^{-19}) J)

After calculating (E), plug it into the formula to find (\lambda).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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