Question

the ratio of wave numbers of two radiations is1:2.then ratio of their velocities is

Answer 1

Hey Mate,

The answer to this question is 1:1-is the ratio of their velocities............

Hope this helps you........

Answer 2

Answer:

The Ratio of  velocities of the two wavenumbers is 2:1.

Explanation:

Given ratio between two radiation  is 1:2

Now we know that the relation between wavenumber and wavelength is  given as    

  $K = \frac{2\pi }{\lambda} ----------(i)$

   where K = is wavenumber      

    λ = wavelength

Also we know that relation between wavelength and velocities is given by

   νλ= V    ---------(ii)  

ν = frequency

 λ =  wavelength

 V = velocity

from (i)  and  (ii) relation between K and V is  

 K=\frac{2\pi \nu}{V}  

The ratio of wavenumber is given  1:2  

 $\frac{K_{1} }{K_{2} } = \frac{\frac{2\pi \nu}{V_{1} } }{\frac{2\pi \nu}{V_{2} } } \\ \\ \frac{K_{1} }{K_{2} } = \frac{V_{2} }{V_{1} } \\ \\ \frac{1}{2} = \frac{V_{2} }{V_{1} }$

 $\frac{V_{1} }{V_{2} }= \frac{2}{1}$

The Ratio of velocities of the wavenumber is as 2:1.