A photon of wavelength 6.0 x 10\(^{-7}\) m behaves like a particle of a certain mass. The value of that mass is [h = 6.63 x 10\(^{-34}\) Js, c = 3.0 x 10\(^8\) ms\(^{-1}\)]
A
3.5 x 10\(^{-36}\)kg
B
2.2 x 10\(^{-35}\)kg
C
1.1 x 10\(^{-35}\)kg
D
2.2 x 10\(^{-7}\) kg
Verified Correct Answer: A.
Physical Principles & Numerical Solution
\(\lambda\) = \(\frac{h}{mv}\), then, h = mv\(\lambda\)
m = \(\frac{h}{v \lambda}\) = \(\frac{6.63 \times 10^{-34}}{6.0 \times 10^{-7} \times 3 \times 10^8}\) = 3.68 x 10\(^{-36}\) kg
OPtion A is the closest.
Source: Official Exam / Past Question Archive