an object of height 1.2m is placed before concave mirror of focal length 20cm so real image is formed at distance of 60cm from it .Find position of object . What will be height of image formed??
Answers
Answer:
Given,
height of object= - 1.2m(By sign convention)
focal length= -20cm(By sign convention)
Image distance= -60cm(By sign convention)
To find,
1)Position of object=?
2)Height of the image formed=?
Solution,
Now by using mirror formula,
1/f = 1/v +1/u
1/u= 1/f-1/v
1/u= (1/-20) - (1/-60)
1/u= 3-1/-60
1/u=2/-60
u=-30
Now by Using Mirror formula. i. e- m= height of image / height of object = v/u
height of image/-1.2= - 60/-30
height of image = - 1.2*2m
= 2.4m
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Answer:
u = 30 cm
Explanation:
We have given :
Focal length = 20 cm
Image distance = 60 cm
We have to find object distance .
We know :
1 / f = 1 / v + 1 / u
Since image formed is real :
f = - 20 cm and v = - 60 cm
1 / u = 1 - 3 / 60
u = - 30 cm
Hence object distance is 30 cm .
Also given object height = 1.2 cm
We know :
h_i / h_o = - v / u
h_i / 1.2 = - 60 / 20
h_i = - 2.4 cm