2
Question
An object of height 2 cm is placed on the principal axis of a concave mirror at a distance of 12 cm from the pole. If the image is real, inverted and 5 cm high, then location of the image and the focal length of the mirror is
An object of height 2 cm is placed on the principal axis of a concave mirror at a distance of 12 cm from the pole. If the image is real, inverted and 5 cm high, then location of the image and the focal length of the mirror is
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Solution
The correct option is A 30 cm,8.6 cm
Given:
Height of object, ho=+2 cm
Height of image, hi=−5 cm
Distance of object, u=−12 cm
So, m=hiho=−vu
⇒−5+2=−v−12
⇒v=−30 cm
Applying mirror formula,
1v+1u=1f
⇒−130−112=1f
⇒1f=−760
⇒f=−8.6 cm
Given:
Height of object, ho=+2 cm
Height of image, hi=−5 cm
Distance of object, u=−12 cm
So, m=hiho=−vu
⇒−5+2=−v−12
⇒v=−30 cm
Applying mirror formula,
1v+1u=1f
⇒−130−112=1f
⇒1f=−760
⇒f=−8.6 cm
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