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The magnification produced by the objective lens and the eye lens of a compound microscope are 25 and 6 respectively. The magnification of this microscope is 50n, then find nn.
Correct answer is '3'. Can you explain this answer?
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Most Upvoted Answer
The magnification produced by the objective lens and the eye lens of a...
To find the value of \( n \) in the given magnification of a compound microscope, let’s break down the components.
Understanding Magnification in a Compound Microscope
The total magnification (\( M \)) of a compound microscope is the product of the magnification of the objective lens (\( M_o \)) and the eye lens (\( M_e \)):
\[
M = M_o \times M_e
\]
Given Values
- \( M_o = 25 \) (magnification of objective lens)
- \( M_e = 6 \) (magnification of eye lens)
Calculating Total Magnification
Using the formula for total magnification:
\[
M = M_o \times M_e = 25 \times 6
\]
Calculating this gives:
\[
M = 150
\]
Finding the Value of \( n \)
We are given that the total magnification is also expressed as \( 50n \):
\[
150 = 50n
\]
To find \( n \), we divide both sides by 50:
\[
n = \frac{150}{50} = 3
\]
Conclusion
Thus, the value of \( n \) is:
\[
\boxed{3}
\]
This systematic breakdown helps clarify how magnification operates in a compound microscope and leads to the solution for \( n \).
Understanding Magnification in a Compound Microscope
The total magnification (\( M \)) of a compound microscope is the product of the magnification of the objective lens (\( M_o \)) and the eye lens (\( M_e \)):
\[
M = M_o \times M_e
\]
Given Values
- \( M_o = 25 \) (magnification of objective lens)
- \( M_e = 6 \) (magnification of eye lens)
Calculating Total Magnification
Using the formula for total magnification:
\[
M = M_o \times M_e = 25 \times 6
\]
Calculating this gives:
\[
M = 150
\]
Finding the Value of \( n \)
We are given that the total magnification is also expressed as \( 50n \):
\[
150 = 50n
\]
To find \( n \), we divide both sides by 50:
\[
n = \frac{150}{50} = 3
\]
Conclusion
Thus, the value of \( n \) is:
\[
\boxed{3}
\]
This systematic breakdown helps clarify how magnification operates in a compound microscope and leads to the solution for \( n \).
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Community Answer
The magnification produced by the objective lens and the eye lens of a...
Magnification of combination of two or more lens is given by product of magnification produced by all.
Given M0 = 25 Me, = 6
∴ magnification of this microscope is
M = M0 × Me = 25 × 6 = 150 = 50 × 3 ⇒ n = 3
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The magnification produced by the objective lens and the eye lens of a compound microscope are 25 and 6 respectively. The magnification of this microscope is 50n, then find nn.Correct answer is '3'. Can you explain this answer?
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The magnification produced by the objective lens and the eye lens of a compound microscope are 25 and 6 respectively. The magnification of this microscope is 50n, then find nn.Correct answer is '3'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The magnification produced by the objective lens and the eye lens of a compound microscope are 25 and 6 respectively. The magnification of this microscope is 50n, then find nn.Correct answer is '3'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The magnification produced by the objective lens and the eye lens of a compound microscope are 25 and 6 respectively. The magnification of this microscope is 50n, then find nn.Correct answer is '3'. Can you explain this answer?.
The magnification produced by the objective lens and the eye lens of a compound microscope are 25 and 6 respectively. The magnification of this microscope is 50n, then find nn.Correct answer is '3'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The magnification produced by the objective lens and the eye lens of a compound microscope are 25 and 6 respectively. The magnification of this microscope is 50n, then find nn.Correct answer is '3'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The magnification produced by the objective lens and the eye lens of a compound microscope are 25 and 6 respectively. The magnification of this microscope is 50n, then find nn.Correct answer is '3'. Can you explain this answer?.
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