Q.

A concave lens of focal length 15 cm forms an image 10 cm from the lens. The image formed


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a

inverted

b

erect

c

virtual

d

none of these 

answer is B.

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Detailed Solution

The image formed is erect.
Given,
Image distance, v= -10 cm and focal length, f= -15 cm.
Form the lens formula,
1f=1v-1u
Where f, v, and u are the focal length, image distance, and object distance, respectively.
On arranging the terms we get
1u=1v-1f
On substituting the given values, we get the object distance as
1u=1(-10)-1(-30)
 u= -30 cm
Hence, the distance of the object should be -30 cm.
It is known that the magnification (m) produced is the ratio of the image distance (v) to the object distance (u). It can also be defined as the ratio of the image height (h') to the object height (h). Mathematically,
 m=vu=h'h
On substituting the given values, we get the magnification (m) as
m=vu
m=-10-30
m=0.33
Hence, the magnification for the image formed is 0.33ModerateFormula basedApplication.
The positive sign indicates that the image formed is erect.
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