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Calculate the mass of a photon, if its wavelength is given as $0.35 \mathrm{~nm}$.
Options:
Solution:
1963 Upvotes
Verified Answer
The correct answer is:
$6.30 \times 10^{33} \mathrm{~kg}$
According to de-Broglie equation,
$$
\begin{aligned}
\lambda & =\frac{h}{m v} \text { or } m=\frac{h}{\lambda v} \\
& =\frac{6.626 \times 10^{-34} \mathrm{~kg} \mathrm{~m}^2 \mathrm{~s}^{-1}}{0.35 \times 10^{-9} \mathrm{~m} \times 3 \times 10^8 \mathrm{~ms}^{-1}}=6.30 \times 10^{-33} \mathrm{~kg}
\end{aligned}
$$
Hence, the correct option is (3).
$$
\begin{aligned}
\lambda & =\frac{h}{m v} \text { or } m=\frac{h}{\lambda v} \\
& =\frac{6.626 \times 10^{-34} \mathrm{~kg} \mathrm{~m}^2 \mathrm{~s}^{-1}}{0.35 \times 10^{-9} \mathrm{~m} \times 3 \times 10^8 \mathrm{~ms}^{-1}}=6.30 \times 10^{-33} \mathrm{~kg}
\end{aligned}
$$
Hence, the correct option is (3).
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