Question

In: Physics

A meterstick lies along the optical axis of a convex mirror of focal length -48 cm,...

A meterstick lies along the optical axis of a convex mirror of focal length -48 cm, with its nearest end 85 cm from the mirror. How long is the image of the meterstick?

Solutions

Expert Solution

Let the length of the image of the meterstick is l.

The length of the meter stick is L=(1+0.85) m=1.85 m.=185 cm.

The focal length of the convex mirror is f=-48 cm.

The nearest point of the meter stick from the mirror is u=85 cm=0.85 m.

Let the image distance of the nearest point of the meter stick is v.

From the mirror formula, we can say

      

  

  

Let the magnification factor of the mirror is m.

The magnification factor of the mirror is

  

The length of the image of the meterstick is

  

  

The length of the image of the meterstick is 67 cm approximately.


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