determine the energy for a gamma ray in joules.
a 1.989 x 10^15
b 1.989 x 10^-15
c 1.989 x 10^-39
d 1.989 x 10^42

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Accepted Answer

# Explanation:
## Step1: Recall the formula for energy of a photon
The energy of a photon is given by $E = hc/\lambda$, 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 gamma - ray $\lambda = 10^{-12}\space m$.
## Step2: Substitute the values into the formula
$$
\begin{align*}
E&=\frac{h\times c}{\lambda}\
&=\frac{6.626\times 10^{-34}\times3\times 10^{8}}{10^{-12}}\
&=\frac{19.878\times 10^{- 26}}{10^{-12}}\
&=1.9878\times10^{-15}\space J\approx1.989\times 10^{-15}\space J
\end{align*}
$$

# Answer:
B. $1.989\times 10^{-15}$

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Question

Explanation:

Step1: Recall the formula for energy of a photon

Step2: Substitute the values into the formula

Answer: