Correct option is D
The Correct answer is: (d) +0.33
To find the magnification (M) using the formula:
Magnification(M)=−object distance (u)image distance (v)
Given Data
•Objectdistanceu=−60cm(sinceitisplacedontheleftofthelens)•Focallengthf=−30cm(foraconcavelens,thefocallengthisnegative)
Use the lens formula:
f1=v1−u1
Substitute,f=−30 cmandu=−60 cm−301=v1−−601 −0.0333=v1+0.0167 Solvingforv1: v1=−0.0333−0.0167=−0.05
Thus, v=−20cmv = -20 \, \text{cm}v=−20cm (negative value indicates the image is formed on the left side of the lens).
Calculate the magnification:
Magnification(M)=−uv M=−60−20=+0.33
Final Answer:
The magnification is +0.33.
Magnification(M)=−image distance (v)object distance (u)\text{Magnification} (M) = -\frac{\text{image distance (v)}}{\text{object distance (u)}}The magnification is -0.33.