Answer:
The speed is [tex]v = 1.16 *10^{6} \ m/s [/tex]
Explanation:
From the question we are told that
The peak wavelength is [tex]\lambda = 830 \ nm = 830 *10^{-9} \ m[/tex]
The magnitude of the shift is [tex]\Delta \lambda = 3.2 nm = 3.2*10^{-9} \ m[/tex]
Generally the doppler shift equation is mathematically represented as
[tex]\frac{\Delta \lambda}{ \lambda} = \frac{v}{c}[/tex]
=> [tex]v = c * [\frac{\Delta \lambda}{\lambda} ][/tex]
Here c is the speed of light with value [tex]= 3.0*10^{8} \ m/ s[/tex]
So
[tex]v = 3.0*10^{8} * [\frac{ 3.2*10^{-9}{830 *10^{-9}} ][/tex]
=> [tex]v = 1.16 *10^{6} \ m/s [/tex]
