A simple microscope consists of a concave lens of power $10D$ and a convex lens of power $15D$ . Its magnification at near point is
(least distance of distinct vision, $D = 25cm$ )
Answer
585k+ views
Hint: In order to this question, to calculate the magnification, we will find the focal length of the concave lens of the microscope and then the focal length of the convex lens. And then we will find the actual focal length of the simple microscope, now we can find its magnification.
Complete step-by-step solution:
The power of both the lenses is given, then we will find the focal lengths of both the lenses first.
So, the power of a concave lens is $10D$ .
Focal length of the concave lens, $f = - \dfrac{{100}}{{10}} = - 10cm$
And, the power of a convex lens is $15D$ .
Focal length of the convex lens $ = \dfrac{{100}}{{15}} = 6.67cm$ .
Now, using
$
\dfrac{1}{f} = \dfrac{1}{{{f_1}}} + \dfrac{1}{{{f_2}}} \\
\Rightarrow \dfrac{1}{f} = \dfrac{1}{{10}} + \dfrac{1}{{6.67}} \\
\Rightarrow f = \dfrac{{6.67 \times 10}}{{10 - 6.67}} = 20cm \\
$
Now, we can find the magnification at the near point, as we have focal lengths of both the lenses.
$
\therefore m = 1 + \dfrac{D}{F} \\
\,\,\,\,\,\,\,\, = 1 + \dfrac{{25}}{{20}} = 2.25 \\
$
So, the magnification of the microscope is $2.25$ .
Note: The field of view refers to the amount of your specimen or object that can be seen through the microscope. You can see 5mm at a magnification of $40x$ . You can see $2mm$ at a magnification of $100x$ . At $400x$ magnification, \[0.45mm,{\text{ }}or{\text{ }}450{\text{ }}microns\] , can be seen. At $1000x$ magnification, \[0.180mm,{\text{ }}or{\text{ }}180{\text{ }}microns\] , can be seen.
Complete step-by-step solution:
The power of both the lenses is given, then we will find the focal lengths of both the lenses first.
So, the power of a concave lens is $10D$ .
Focal length of the concave lens, $f = - \dfrac{{100}}{{10}} = - 10cm$
And, the power of a convex lens is $15D$ .
Focal length of the convex lens $ = \dfrac{{100}}{{15}} = 6.67cm$ .
Now, using
$
\dfrac{1}{f} = \dfrac{1}{{{f_1}}} + \dfrac{1}{{{f_2}}} \\
\Rightarrow \dfrac{1}{f} = \dfrac{1}{{10}} + \dfrac{1}{{6.67}} \\
\Rightarrow f = \dfrac{{6.67 \times 10}}{{10 - 6.67}} = 20cm \\
$
Now, we can find the magnification at the near point, as we have focal lengths of both the lenses.
$
\therefore m = 1 + \dfrac{D}{F} \\
\,\,\,\,\,\,\,\, = 1 + \dfrac{{25}}{{20}} = 2.25 \\
$
So, the magnification of the microscope is $2.25$ .
Note: The field of view refers to the amount of your specimen or object that can be seen through the microscope. You can see 5mm at a magnification of $40x$ . You can see $2mm$ at a magnification of $100x$ . At $400x$ magnification, \[0.45mm,{\text{ }}or{\text{ }}450{\text{ }}microns\] , can be seen. At $1000x$ magnification, \[0.180mm,{\text{ }}or{\text{ }}180{\text{ }}microns\] , can be seen.
Recently Updated Pages
Which of the following graphs shows the variation of class 12 physics CBSE

Draw a labelled diagram of the human male reproductive class 12 biology CBSE

Describe the experiment to compare the emf of two cells class 12 physics CBSE

What is standard hydrogen electrode

What is conventional current and electric current class 12 physics CBSE

2Bromopentane is treated with an alcoholic KOH solution class 12 chemistry CBSE

Trending doubts
Draw a labelled sketch of the human eye class 12 physics CBSE

Which are the Top 10 Largest Countries of the World?

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Draw ray diagrams each showing i myopic eye and ii class 12 physics CBSE

Which is the correct genotypic ratio of mendel dihybrid class 12 biology CBSE

What is the Full Form of PVC, PET, HDPE, LDPE, PP and PS ?

