Dual Nature of Radiation and Matter - Result Question 74
78. Themomentum of a photon of an electromagnetic radiation is $3.3 \times 10^{-29} kgms^{-1}$. What is the frequency of the associated waves ?
[1990] $[h=6.6 \times 10^{-34} Js ; c=3 \times 10^{8} ms^{-1}]$
(a) $1.5 \times 10^{13} Hz$
(b) $7.5 \times 10^{12} Hz$
(c) $6.0 \times 10^{3} Hz$
(d) $3.0 \times 10^{3} Hz$
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Answer:
Correct Answer: 78. (a)
Solution:
- (a) As $\lambda=\frac{h}{p}$ and $\lambda=\frac{c}{v}$; so
$ v=\frac{c}{\lambda}=\frac{c P}{h}=3 \times 10^{8} \times \frac{3.3 \times 10^{-29}}{6.6 \times 10^{-34}} $
$=1.5 \times 10^{13} Hz$
