Physics, 14.02.2020 01:11 sarmientojose267

A microscope has an objective lens of focal length 1.40 mm and an eyepiece of focal length 20.00 mm. It is adjusted for minimum eyestrain for persons with a near point of 25.0 cm. A blood sample is placed 1.50 mm from the objective. The magnitude of the overall magnification is closest to 102) 180. 37. 370. 18. 103)A compound microscope has an objective with a focal length of 3.00 mm and an eyepiece of focal length 6.00 cm. It is adjusted for minimum eyestrain for persons with a near point of 25 cm. If the two lenses are separated by 40.0 cm, what is the total overall magnification

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Answer from: pandaniezzy

(a). The overall magnification is 175.

(b). The overall magnification is 472.

Explanation:

Given that,

Focal length of lens = 1.40 mm

Focal length of eyepiece = 20.00 mm

Near point = 25.0 cm

Object distance = 1.50 mm

(a). We need to calculate the image distance

Using formula of lens

$\dfrac{1}{f}=\dfrac{1}{v}-\dfrac{1}{u}$

Put the value into the formula

$\dfrac{1}{1.40}=\dfrac{1}{v}+\dfrac{1}{1.50}$

$\dfrac{1}{v}=\dfrac{1}{1.40}-\dfrac{1}{1.50}$

$v=21\ mm$

We need to calculate the magnification of objective lens

Using formula of magnification

$m=\dfrac{v}{u}$

Put the value into the formula

$m=\dfrac{21}{1.50}$

m=14

We need to calculate the length

Using formula for length

$l=f_{e}+m u$

Put the value into the formula

$l=20.0+14\times1.50$

l=41

We need to calculate the overall magnification

Using formula of magnification

$M=\dfrac{N}{f_{e}}(\dfrac{l-f_{e}}{u})$

Put the value into the formula

$M=\dfrac{250.0}{20.0}(\dfrac{41-20.0}{1.50})$

M=175

The overall magnification is 175.

(b). Focal length = 3.00 mm

Focal length of eyepiece = 6.0

Near point = 25 cm

Length = 40.0 cm

We need to calculate the overall magnification

Using formula of magnification

$M=\dfrac{N}{f_{e}}(\dfrac{l-f_{e}}{u})$

Put the value into the formula

$M=\dfrac{25}{6.00}\times\dfrac{40-6.00}{0.3}$

M=472

Hence, (a). The overall magnification is 175.

(b). The overall magnification is 472.

Answer from: Quest

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Answer from: Quest

It should be d if not then c

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A microscope has an objective lens of focal length 1.40 mm and an eyepiece of focal length 20.00 mm....

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