A man stands 50cm from a concave mirror with radius of curvature 10cm. Find t position of the image and the magnification
Gives
Radius of curvature=10cm
u=50cm
f=−12f=-\frac{1}{2}f=−21 (Radius of curvature)
f=−12×10=5cmf=-\frac{1}{2} \times10=5cmf=−21×10=5cm
We know that
1f=1u+1v\frac{1}{f}=\frac{1}{u}+\frac{1}{v}f1=u1+v1
1v=1f−1u\frac{1}{v}=\frac{1}{f}-\frac{1}{u}v1=f1−u1
1v=1−5−1−50\frac{1}{v}=\frac{1}{-5}-\frac{1}{-50}v1=−51−−501
v=−509=−5.55cmv=-\frac{50}{9}=-5.55cmv=−950=−5.55cm
Magnification
M=vuM=\frac{v}{u}M=uv
M=−5.55−50=0.12cmM=\frac{-5.55}{-50}=0.12cmM=−50−5.55=0.12cm
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