- 5 cm high object is placed at a
distance of 25 cm from a converging
lens of focal length of 10 cm.
Determine the position, size and type
of the image.
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Answer:
the height of object = 5cm
position of object,u = 25 cm
focol length of the lens f = 10 cm
the position of image,v = ?
size of the image
nature of image
we know that,
1/v - 1/u = 1/f
1/v + 1/25 = 1/10
1/v= 1/10 -1 /25
1/v = (5-2)/50
hence, 1/v = 3/50
so v= 50/3 = 16.66 cm
no we know that
therefore the distance of the image is
16.66 cm on the opposite side of the lens
magnification = v/u
hence m= 16.66 /-25 = -0.66
we know that
m= hight of image/height of object
or, -0.66 = height of image/5 cm
hence height of image = -3.3cm
position of image = 16.66 cm
size of image = -3.3cm
nature of image = real and inverted
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