Question

the blue color in some fireworks occurs when copper (i) chloride is heated to approximately 1500 k and emits blue light of wavelength 4.50 x 10^2 nm. how much energy does one photon of this light carry? * (0.5 points)
6.67 x 10^5 j
2.98 x 10^3 j
1.47 x10^-36 j
4.42 x 10^-19 j
1.50 x 10^-2 j
1.35 x 10^11 j
6.79 x 10^35 j

Explanation:

Step1: Convert wavelength to meters

The given wavelength $\lambda = 4.50\times10^{2}\ nm$. Since $1\ nm=10^{- 9}\ m$, then $\lambda = 4.50\times10^{2}\times10^{-9}\ m=4.50\times10^{-7}\ m$.

Step2: Use the energy - wavelength formula

The energy of a photon is given by $E = h\frac{c}{\lambda}$, where $h = 6.626\times10^{-34}\ J\cdot s$ (Planck's constant) and $c = 3.00\times10^{8}\ m/s$ (speed of light).
Substitute the values: $E=\frac{6.626\times10^{-34}\ J\cdot s\times3.00\times10^{8}\ m/s}{4.50\times10^{-7}\ m}$.
First, calculate the numerator: $6.626\times10^{-34}\times3.00\times10^{8}=19.878\times10^{-26}\ J\cdot m$.
Then, divide by the denominator: $E=\frac{19.878\times10^{-26}\ J\cdot m}{4.50\times10^{-7}\ m}=4.42\times10^{-19}\ J$.

Answer:

D. $4.42\times 10^{-19}\ J$