determine the energy for an ultraviolet ray in joules.
a 1.989 x 10^{19}
b 1.989 x 10^{-35}
c 1.989 x 10^{35}
d 1.989 x 10^{-19}

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Accepted Answer

# Answer:
D. $1.989\times10^{-19}$

# Explanation:
## Step1: Recall the energy - wavelength formula
The formula for the energy of a photon is $E = hc/\lambda$, where $h = 6.626\times10^{-34}\space J\cdot s$ (Planck's constant), $c=3\times 10^{8}\space m/s$ (speed of light).
From the wavelength scale, for ultraviolet rays, $\lambda = 10^{-8}\space m$
## Step2: Substitute values into the formula
$$
\begin{align*}
E&=\frac{h\times c}{\lambda}\
&=\frac{6.626\times 10^{-34}\times3\times 10^{8}}{10^{-8}}\
&= 1.9878\times10^{-19}\space J\approx1.989\times 10^{-19}\space J
\end{align*}
$$

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Question

Explanation:

Step1: Recall the energy - wavelength formula

Step2: Substitute values into the formula

Answer: