A spherical mirror is used to obtain an image on a screen. The height of the image is 5 times that of the object. What is the type of mirror and at what distance is the object placed from the mirror?

Dear student,

a)
Here in this case the mirror is a concave mirror as image is magnnified.


(b)  
Image is 5 times magnified. 
Hence, v=5u
image distance = v= 5+x
object distance =u=x

or, (5+x)=5x 
Solving we get, 
x=1.25cm 
Now using, 1/v+1/u=1/f=2R 

1/f=1/1+ (1/5) = (6/5)

Or   f= (5.0/6) =0.83m


Regards.

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