The objective lens and the eyepiece of a telescope are spaced 85 cm apart. If the eyepiece is123 D what is the total magnification of the telescope?

Respuesta :

Answer:

The magnification would be "103.55". A further explanation is given below.

Explanation:

The given values are:

Distance between lens and eyepiece,

L = 85 cm

Eyepiece is,

= 123 D

Now,

The refractive power of eye piece will be:

⇒ [tex]\frac{1}{f_e}=123D[/tex]

   [tex]f_e=\frac{1}{123D}[/tex]

   [tex]f_e=0.813 \ cm[/tex]

The length of the telescope will be:

⇒ [tex]L=f_0+f_e[/tex]

⇒ [tex]f_0=L-f_e[/tex]

On substituting the values, we get

⇒     [tex]=85-0.813[/tex]

⇒     [tex]=84.187 \ cm[/tex]

Now,

The magnification of the telescope will be:

⇒ [tex]M=\frac{f_0}{f_e}[/tex]

⇒      [tex]=\frac{84.187}{0.813}[/tex]

⇒      [tex]=103.55[/tex]