Question

6. Some parts of the electromagnetic spectrum can cause changes in biological cells due to the energy of each photon. For the wavelengths given for different bands of the electromagnetic spectrum, determine the energy of a single photon, indicate if it can break the atomic bond of water (4.7 eV), ionize hydrogen (13.6 eV), and ionize calcium (6.11 eV). For those that can break bonds, how many molecules/atoms can one photon change? Show all your work for microwaves and ultraviolet, not just your answers in the table. Break H2O Tonize H lonize Ca Band Microwave Infrared Green Ultraviolet X-ray 6 cm 60 um 600 nm 60 nm 60 pm

Answer 1

Answer:

Given that:

Some parts of the electromagnetic spectrum can cause changes in biological cells due to the energy of each photon.

$E=\frac{hc}{\lambda }, \: h=4.1356\times 10^{-15}eV$

Microwave $E=\frac{4.1356\times 10^{-15}\times3\times10^8}{0.06}=206.78\times10^{-7}eV$

Infrared $\lambda=60\mu m$

$E=\frac{4.1356\times 10^{-15} \times 3\times 10^8}{60\times 10^{-6}}=0.02067eV$

Green   $\lambda=600nm$

$E=\frac{hc}{\lambda}=\frac{4.1356\times 10^{-15} \times 3 \times 10^8}{600\times 10^{-9}}=2.0678eV$

UV   $\lambda=60nm$

  $E=\frac{4.1356\times 10^{-15} \times 3 \times 10^8}{60\times 10^{-9}}=20.678eV$

X-ray
= 60pm

  
4.13 x 10-15 X3 X 108 60 x 10-12 - = 20678eV

Band	$\lambda$		$H_2O\;(4.7eV)$
Microwave		$206.7\times10^{-7}$
Infrared	$60\;\mu m$
Green
Ultraviolet						$H_2O-4,\; H\rightarrow 1,\;Ca\rightarrow 3$. (UV)
X-ray						$H_2O,\; 4399, \; H\rightarrow 1520.44,\; Ca\rightarrow 3384$  (X-ray)