Aruna now places a candle at a distance of 4.5 cm in front of the convex mirror. She uses a candle that is 2.0 cm high as the object. The focal length of the convex mirror is 6.0 cm. Calculate the size of the image formed by the convex mirror.
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Answer:
Given: Height of the needle, h1=4.5cm.
Object distance, u=−12cm.
The focal length of the convex mirror, f=15cm.
Image distance, v The value of v can be obtained using the mirror formula.
v1+u1=f1
v1+−121=151
v1=121+151
v1=609
∴v≈6.7cm
Hence, the image of the needle is 6.7 cm away from the mirror. Also, it is on the other side of the mirror.
The image size is given by the magnification formula.
m=hh′=−uv
h′=126.7×4.5
⇒h′=+2.5cm
So, m=4.5
Explanation:
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