Question:A small candle, 2.5 cm in size is placed at 27 cm in front of a concave mirror of radius of curvature 36 cm. At what distance from the mirror should a screen be placed in order to obtain a sharp image? Describe the nature and size of the image. If the candle is moved closer to the mirror, how would the screen have to be moved?
Answer:u= -27 cm
F=R/2
f=36/2
f=18cm
now use,
1/f= 1/u + 1/v (mirror formula)
1/18=1/27 + 1/v
solving this,we get
v= -54cm
=the image is magnified,real,inverted
M = -V/U
M= -(-54)/27
M=2
therefore,
the image size is =2.5 * 2=5
the screen can be moved till infinity until it satisfies the condition,
(U