Question: A photon of wavelength 6000Å has an energy E. The wavelength of the photon of light which corresponds to an energy equal to 2E is

A photon of wavelength 6000 Å has an energy E. The wavelength of the photon of light which corresponds to an energy equal to 2E is

Option 2) 3000 Å (Correct)

  • Option 1) 300 Å
  • Option 2) 3000 Å
  • Option 3) 30 Å
  • Option 4) 3 Å

As we all knows that,

The energy (E) of a quantum of radiation –

E=hv
\nu

Where h is plank’s constant and  is frequency, and

Speed of electromagnetic radiation –

c= \nu \lambda
\nu

where frequency is (,pronounced as nu), wavelength is (λ) and velocity of light is(c)

E=h\nu

 We also know, 

E= energy of a quantum of radiation

h=plank’s constant

\nu=

 frequency of radiation

c=\nu\lambda

and 

E=h\nu=\frac{hc}{\lambda }=\frac{hc}{6000} -(1)

Now, 

ZE=hv_{1}=h\frac{c}{\lambda _{1}} - (2)

Put in 2

Z\times \frac{hc}{6000A}=\frac{hc}{\lambda_{1} }
\lambda _{1}=3000A

So the correct option is 2nd.

Ans 2) 3000 Å

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