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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Solution :-
Object distance u=−36 cm
Focal length of concave mirror f=−12 cm
Using mirror formula :
v1+ u1= f1
Or v1 + −361 = −121⟹ v=−18 cm,
Since image position is negative, i.e. image is on the same side of object, which is real space, therefore the image is real.
Step2: Finding Height using Magnification
Magnification
hoh i= u−v
Or 10h i = −12−(−18)⟹ h i =−15 cm
Negative height implies that the image is inverted.
Hence, a real and inverted image of height 15 cm is formed at a distance of 18 cm in front of the mirror.
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