A planet is observed by an astronomical refracting telescope having an objective of focal length $16m$ and an eyepiece of focal length$2cm$. Then,
This question has multiple correct options.
A. The distance between the object and the eyepiece is$16.02m$.
B. The angular magnification of the planet is $-800$ .
C. The image of the planet is inverted.
D. The object is larger than the eyepiece.
Answer
654.6k+ views
Hint: In this question we are going to find, among the options, which options are correct. Use formula $\left( {{f}_{0}}+{{f}_{e}} \right)$ (distance between object of focal length and eyepiece of focal length) and $\left( -\dfrac{{{f}_{0}}}{{{f}_{e}}} \right)$ (angular of magnification), to solve this problem.
Complete step by step answer:
Let’s discuss the above option and find the answer.
The distance between the object and the eyepiece is$16.02m$ : Here object of focal length ${{f}_{0}}=16m$ and eyepiece of focal length $2cm=\dfrac{2}{100}m=0.02m$ . Now the distance between the object and the eyepiece is $\Rightarrow {{f}_{0}}+{{f}_{e}}=16+0.02=16.02m$ . Hence option A is correct.
The angular magnification of the planet is$-800$ : Here object of focal length${{f}_{0}}=16m$ and eyepiece of focal length$2cm=\dfrac{2}{100}m=0.02m$ . now the angular of magnification of the planet is $\Rightarrow -\dfrac{{{f}_{0}}}{{{f}_{e}}}=-\dfrac{16}{0.02}=-\dfrac{16}{\dfrac{2}{100}}=-\dfrac{1600}{2}=-800$ . Hence option B is correct.
The image of the planet is inverted: from option B we know that the angular magnification of the planet is negative so the final image of the planet is inverted. Hence option C is correct.
The object is larger than the eyepiece: From the above question focal length of object ${{f}_{0}}=16m$ and focal length of eyepiece is $2cm=\dfrac{2}{100}m=0.02m$ i.e, object is larger than the eyepiece. Hence option D is correct.
Hence option A, B, C and D are correct.
Note:
Alternative method: first we need to know the distance between them and the value of angular magnification. If the magnification value is negative then the planet is inverted.
Complete step by step answer:
Let’s discuss the above option and find the answer.
The distance between the object and the eyepiece is$16.02m$ : Here object of focal length ${{f}_{0}}=16m$ and eyepiece of focal length $2cm=\dfrac{2}{100}m=0.02m$ . Now the distance between the object and the eyepiece is $\Rightarrow {{f}_{0}}+{{f}_{e}}=16+0.02=16.02m$ . Hence option A is correct.
The angular magnification of the planet is$-800$ : Here object of focal length${{f}_{0}}=16m$ and eyepiece of focal length$2cm=\dfrac{2}{100}m=0.02m$ . now the angular of magnification of the planet is $\Rightarrow -\dfrac{{{f}_{0}}}{{{f}_{e}}}=-\dfrac{16}{0.02}=-\dfrac{16}{\dfrac{2}{100}}=-\dfrac{1600}{2}=-800$ . Hence option B is correct.
The image of the planet is inverted: from option B we know that the angular magnification of the planet is negative so the final image of the planet is inverted. Hence option C is correct.
The object is larger than the eyepiece: From the above question focal length of object ${{f}_{0}}=16m$ and focal length of eyepiece is $2cm=\dfrac{2}{100}m=0.02m$ i.e, object is larger than the eyepiece. Hence option D is correct.
Hence option A, B, C and D are correct.
Note:
Alternative method: first we need to know the distance between them and the value of angular magnification. If the magnification value is negative then the planet is inverted.
Recently Updated Pages
What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

A Paragraph on Pollution in about 100-150 Words

Trending doubts
Explain the energy losses in the transformer How are class 12 physics CBSE

Differentiate between internal fertilization and external class 12 biology CBSE

Differentiate between lanthanoids and actinoids class 12 chemistry CBSE

The first microscope was invented by A Leeuwenhoek class 12 biology CBSE

Sketch and label the Malpighian body class 12 biology CBSE

Who is the father of zoology A Aristotle B Theophrastus class 12 biology CBSE

