Atomic Structure Question 133
Question: The value of Planck-s constant is $ 6.63\times {10^{-34}}Js. $ The velocity of light is $ 3.0\times 10^{8},m{s^{-1}} $ . Which value is closest to the wavelength in nanometres of a quantum of light with frequency of $ 8\times 10^{15}{s^{-1}} $ [CBSE PMT 2003]
Options:
A) $ 3\times 10^{7} $
B) $ 2\times {10^{-25}} $
C) $ 5\times {10^{-18}} $
D) $ 4\times 10^{1} $
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Answer:
Correct Answer: D
Solution:
$ \lambda =\frac{c}{v}=\frac{3\times 10^{8}}{8\times 10^{15}}=3.75\times {10^{-8}} $
$ =3.75\times {10^{-8}}\times 10^{9}nm $
$ =4\times 10^{1}nm $ .