Question

An astronomical object is moving with such a speed that red shift of 1 nm is observed in wavelength of 600 nm received from it, the speed of object is

Answer 1

Given:

• An astronomical object is moving with such a speed that red shift of $1 \ nm$ is observed in wavelength of $600 \ nm$ received from it.

To Find:

• The speed of object

Solution:

From the given information, we have

         $\Delta \lambda = 1 \ nm$

         $\lambda = 600 \ nm$

         

Doppler Effect:

• One of the most important formulas in astronomy
• It helps us to figure out how fast things are moving towards/away from us, just by looking at how their light is altered.

• It doesn't show motion that is perpendicular to our line of sight, but just velocity towards or away from us, so it does have its limitations.

Formula:       $v = c \times \frac{\Delta \lambda }{\lambda}$

where:

$V =$ Velocity(km/s or m/s) of object

$c =$ Speed of light

$\Delta \lambda =$ Change in wavelength from the normal

$\lambda =$    Normal wavelength

Putting all values

     $v = \frac{1}{600} \times 3 \times 10^8$

     $v = \frac{ 10^8}{200}$

     $v= 5 \times 10^5 m/s$

Thus, The speed of object $v= 5 \times 10^5 m/s$