Object of height 8cm is placed at 50 cm in front of a concave mirror of focal length 30 . At what distance from mirror should a screen be placed in order to obtain a sharp image ? Also find the nature and size of image
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Explanation:
given , object height= 8cm
focal length of concave mirror (f)= (-30cm)
object distance (u) = (-50cm)
1/f=1/u + 1/v
= 1/f - 1/u = 1/v
= 1/(-30) - 1/(-50) = 1/v
= -1/30 - (-1/50) = 1/v
= -1/30 + 1/50 = 1/v
= (-5+3)/150 = 1/v
-2/150 = 1/v
-1/75 = 1/v
v=(-75) cm
therefore screen must be placed at 75 cm in front of mirror for a sharp image. the image is real and inverted.
now , image height / object height = -v/u
= image height / 8 = -(-75)/-50
= image height / 8 = -3/2
= image height = (-3 x 8)/2
=image height = -12 cm
therefore , the image is 12 cm in size , real and inverted.
vendettahappy2017:
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