find magnification of a concave mirror, if the height of the object is 10 cm and height of the inverted image is 5cm
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(a) In concave mirror, using sign convention
u=−10cm
R=−15cm
f=2−15cm
Using mirror’s relation
v1+u1=f1
v1=f1−u1
v1=−152+101
v1=30−1
v=−30cm
Image is real and it forms at a distance of 30 cm in front of mirror.
Magnification
m=u−v
m=−1030=−3
This shows image is inverted and 3 times magnified.
(b) again using sign convention
u=−5cm
f=2−15cm
v1=f1−
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