A concave mirror produces three times magnified(enlarged) real image of an object placed at 10 cm in front of it. Where is the image located?
Answers
question_answer 1) A concave mirror produces three times magnified real image of an object placed at 10 cm in front of it. Answer: Here, linear magnification (m) = - 3 (Negative sign for real image, which is inverted) Object distance Image distance As The image is located at 30 cm in front of the mirror.
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Your Answer :
Magnification produced by a spherical mirror :
m = Height of the image/Height of the object
= Image Distance/Object Distance
m = h'' / h' = - ( v / u )
Let the height of the object, h' = h
Then, height of the image, h'' = -3h
( here image distance is in minus so it should be real )
now,
-3h/h = - v/u
v/u = 3
Object distance (u)= - 10 cm { Given }
v = 3 × ( - 10 ) = - 30 cm
Therefore, the negative sign indicates that an inverted image is formed in front of the given concave mirror at a distance of 30 cm.
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