Structure Of Atom

Question
CBSEENCH11008252

The value of Planck's constant is 6.63 x 10-34 Js. The speed of light is 3 x1017 nms-1 . Which value is closet to the wavelength in nanometer of a quantum of light with frequency of 6 x 1015 s-1 ?

  • 10

  • 25

  • 50

  • 75

Solution

C.

50

Given, Planck's constant,
h= 6.63 x10-34
speed of light, c= 3 x1017 nms-1 
Frequency of quanta
v=6 x1015 s-1
Wavelength, λ =?
We know that,
straight v equals straight c over straight lambda

straight lambda space equals straight c over straight v
equals fraction numerator 3 straight x 10 to the power of 17 over denominator 6 space straight x space 10 to the power of 15 end fraction space equals space 0.5 space straight x space 10 squared space nm space equals space 50 space nm

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