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} $

Show Answer

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 $ .



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