JEE Exam > JEE Questions > A telescope has an objective lens of focal le...
Start Learning for Free
A telescope has an objective lens of focal length 150 cm and an eyepiece of focal length 5 cm. If a 50 m tall tower at a distance of 1 km is observed through this telescope in normal setting, the angle formed by the image of the tower is θ, then θ is close to :
- a)1°
- b)15°
- c)30°
- d)60°
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A telescope has an objective lens of focal length 150 cm and an eyepie...
We can use the formula for angular magnification of a telescope:
M = -(fo/fe)
where fo is the focal length of the objective lens and fe is the focal length of the eyepiece. The negative sign indicates that the image is inverted.
Plugging in the given values, we get:
M = -(150 cm)/(5 cm) = -30
This means that the image formed by the objective lens is magnified 30 times by the eyepiece.
To find the angle formed by the image, we can use the small angle approximation:
θ = h/d
where θ is the angle formed by the object, h is the height of the object, and d is the distance to the object.
Plugging in the given values, we get:
θ = (50 m)/(1000 m) = 0.05 radians
Now we can use the angular magnification to find the angle formed by the image:
θ' = θ/M
θ' = (0.05 radians)/(-30) = -0.0017 radians
The negative sign indicates that the image is inverted. To get the absolute value of the angle, we can take the magnitude:
|θ'| = 0.0017 radians
So the angle formed by the image of the tower is approximately 0.1 degrees.
M = -(fo/fe)
where fo is the focal length of the objective lens and fe is the focal length of the eyepiece. The negative sign indicates that the image is inverted.
Plugging in the given values, we get:
M = -(150 cm)/(5 cm) = -30
This means that the image formed by the objective lens is magnified 30 times by the eyepiece.
To find the angle formed by the image, we can use the small angle approximation:
θ = h/d
where θ is the angle formed by the object, h is the height of the object, and d is the distance to the object.
Plugging in the given values, we get:
θ = (50 m)/(1000 m) = 0.05 radians
Now we can use the angular magnification to find the angle formed by the image:
θ' = θ/M
θ' = (0.05 radians)/(-30) = -0.0017 radians
The negative sign indicates that the image is inverted. To get the absolute value of the angle, we can take the magnitude:
|θ'| = 0.0017 radians
So the angle formed by the image of the tower is approximately 0.1 degrees.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
A telescope has an objective lens of focal length 150 cm and an eyepiece of focal length 5 cm. If a 50 m tall tower at a distance of 1 km is observed through this telescope in normal setting, the angle formed by the image of the tower is θ, then θ is close to :a)1°b)15°c)30°d)60°Correct answer is option 'D'. Can you explain this answer?
Question Description
A telescope has an objective lens of focal length 150 cm and an eyepiece of focal length 5 cm. If a 50 m tall tower at a distance of 1 km is observed through this telescope in normal setting, the angle formed by the image of the tower is θ, then θ is close to :a)1°b)15°c)30°d)60°Correct answer is option 'D'. 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 A telescope has an objective lens of focal length 150 cm and an eyepiece of focal length 5 cm. If a 50 m tall tower at a distance of 1 km is observed through this telescope in normal setting, the angle formed by the image of the tower is θ, then θ is close to :a)1°b)15°c)30°d)60°Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A telescope has an objective lens of focal length 150 cm and an eyepiece of focal length 5 cm. If a 50 m tall tower at a distance of 1 km is observed through this telescope in normal setting, the angle formed by the image of the tower is θ, then θ is close to :a)1°b)15°c)30°d)60°Correct answer is option 'D'. Can you explain this answer?.
A telescope has an objective lens of focal length 150 cm and an eyepiece of focal length 5 cm. If a 50 m tall tower at a distance of 1 km is observed through this telescope in normal setting, the angle formed by the image of the tower is θ, then θ is close to :a)1°b)15°c)30°d)60°Correct answer is option 'D'. 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 A telescope has an objective lens of focal length 150 cm and an eyepiece of focal length 5 cm. If a 50 m tall tower at a distance of 1 km is observed through this telescope in normal setting, the angle formed by the image of the tower is θ, then θ is close to :a)1°b)15°c)30°d)60°Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A telescope has an objective lens of focal length 150 cm and an eyepiece of focal length 5 cm. If a 50 m tall tower at a distance of 1 km is observed through this telescope in normal setting, the angle formed by the image of the tower is θ, then θ is close to :a)1°b)15°c)30°d)60°Correct answer is option 'D'. Can you explain this answer?.
Solutions for A telescope has an objective lens of focal length 150 cm and an eyepiece of focal length 5 cm. If a 50 m tall tower at a distance of 1 km is observed through this telescope in normal setting, the angle formed by the image of the tower is θ, then θ is close to :a)1°b)15°c)30°d)60°Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of A telescope has an objective lens of focal length 150 cm and an eyepiece of focal length 5 cm. If a 50 m tall tower at a distance of 1 km is observed through this telescope in normal setting, the angle formed by the image of the tower is θ, then θ is close to :a)1°b)15°c)30°d)60°Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A telescope has an objective lens of focal length 150 cm and an eyepiece of focal length 5 cm. If a 50 m tall tower at a distance of 1 km is observed through this telescope in normal setting, the angle formed by the image of the tower is θ, then θ is close to :a)1°b)15°c)30°d)60°Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A telescope has an objective lens of focal length 150 cm and an eyepiece of focal length 5 cm. If a 50 m tall tower at a distance of 1 km is observed through this telescope in normal setting, the angle formed by the image of the tower is θ, then θ is close to :a)1°b)15°c)30°d)60°Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A telescope has an objective lens of focal length 150 cm and an eyepiece of focal length 5 cm. If a 50 m tall tower at a distance of 1 km is observed through this telescope in normal setting, the angle formed by the image of the tower is θ, then θ is close to :a)1°b)15°c)30°d)60°Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A telescope has an objective lens of focal length 150 cm and an eyepiece of focal length 5 cm. If a 50 m tall tower at a distance of 1 km is observed through this telescope in normal setting, the angle formed by the image of the tower is θ, then θ is close to :a)1°b)15°c)30°d)60°Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup