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An object is located 8.00 cm from a converging lens that has a focal length of...

An object is located 8.00 cm from a converging lens that has a focal length of 10.0 cm. The height of the object is 0.62 cm. What is the height hi of the image?

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Answer #1

Given data,

Focal length = 10.0 cm

u = 8.00 cm

Consider the lens equation,

1 / f = 1 / u + 1 / v

1 / 10 = 1 / 8 + 1 / v

1 / v = 1 / 10 - 1 / 8

v = -40 cm

We know that,

m = -v / u = hi / h0

- ( -40 ) / 8 = hi / 0.62

5.1 = hi / 0.62

hi = 5.1 x 0.62

= 3.16 cm

Therefore, the height of the image = 3.16 cm

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