A converging lens and a screen are placed 20 cm and 80 cm respectively from an object in a straight line so that a sharp image of the object is formed on the screen. If the object is 3cm high. Calculate the height of the image formed
a
1 cm
b
9cm
c
12cm
d
15cm
Explanation
Correct Option
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Wawaaaaaaaaaaaqa
2 years ago

where u = object distance
v= image distance
hi= image height
ho= object height

Truss
1 year ago
We are given:
Object distance, (always taken as negative in lens formula, so )
Image distance,
Object height,
We use the magnification formula:
\text{Magnification (M)} = \frac{h_i}{h_o} = \frac{v}{u}
Substitute the values:
\frac{h_i}{3} = \frac{80}{-20} = -4
h_i = -4 \times 3 = -12 \, \text{cm}
The negative sign indicates that the image is inverted, but the magnitude is:
\boxed{12 \, \text{cm}}
Correct answer:
C. 12 cm


