b) an object of height 10 cm is placed in front concave mirror of focal length 30 cm at a distance 90 cm .
FIND
I)POSITION OF IMAGE FORMED
II)HEIGHT OF THE IMAGE
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Height of object, h =10cm, object distance u=−90cm, focal length f=−30cm
Now, from mirror formula :
1/f=1/v+1/u
1/v=1/f-1/u
1/v= -1/30+1/90
1/v= -3+1/90
1/v= -1/45
v=−45cm - image distance
Magnification, m= −v/ u
= -(-45/-90)
= -1/2
Size of image, h¹ =m(h)
= -1/2*10
= -5
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