Question

a photographic instrument has as objective a thin convergent lens of vergence 10diopters.To take the photograph of a far object the eye piece must be placed at which distance from the object

Answer 1

Answer on Question #61572, Physics / Optics

a photographic instrument has as objective a thin convergent lens of vergence 10 diopters. To take the photograph of a far object the eye piece must be placed at which distance from the object

Find: $d_i - ?$

Given:

D=10 diopters

$$d_0 = \infty$$

Solution:

Formula for convergent lens in this case :

$$\frac{1}{d_0} + \frac{1}{d_i} = D(1),$$

where $d_0$ is distance from the object to the lens,

$d_i$ is distance from the lens to the image,

D is the optical power of the lens

Of (1) $\Rightarrow \frac{1}{\infty} + \frac{1}{d_i} = D(2)$

Of (2) $\Rightarrow 0 + \frac{1}{d_i} = D(3)$

Of (3) $\Rightarrow \frac{1}{d_i} = D(4)$

Of (4) $\Rightarrow d_i = \frac{1}{D}(5)$

Of (5) $\Rightarrow d_i = 0.1 \, \text{m}$

Answer:

0.1 m

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