Concepts Of Physics MCQ Edition [Volume 1]
- Exam
- Concepts Of Physics MCQ Edition [Volume 1]
- Subject
- Physics
- Chapter
- Optical Instruments
Concepts Of Physics MCQ Edition [Volume 1] · Physics · Optical Instruments
A person observes several trees in an open space, with the...
A person observes several trees in an open space, with the following details given. Arrange the trees in decreasing order of their apparent sizes.
| Tree | Height (m) | Distance from the eye (m) |
|---|---|---|
| A | ||
| B | ||
| C | ||
| D |
Options
- A, , ,
- B, , ,
- C, , ,
- D, , ,
Correct answer
D. , , ,
Step-by-step solution
The apparent size of an object is proportional to the visual angle it subtends at the eye. For small angles, this angle is given by , where is the height of the object and is its distance from the eye.
Calculating the visual angle for each tree:
For tree A: rad
For tree B: rad
For tree C: rad
For tree D: rad
Comparing the angles, we get .
The decreasing order of their apparent sizes is A, B, D, C.
Calculating the visual angle for each tree:
For tree A: rad
For tree B: rad
For tree C: rad
For tree D: rad
Comparing the angles, we get .
The decreasing order of their apparent sizes is A, B, D, C.