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A concave mirror is used for face viewing has focal length of 0.6 m. at what distance you should hold the mirror from your face to get an upright image with a magnification of 4?
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A concave mirror is used for face viewing has focal length of 0.6 m. a...
Understanding the Problem
To find the distance at which to hold a concave mirror for an upright image with a magnification of 4, we can use the mirror formula and magnification equations.
Given Data
- Focal length (f) = 0.6 m
- Magnification (m) = 4
Relevant Formulas
- Mirror formula: 1/f = 1/v + 1/u
- Magnification formula: m = -v/u
Where:
- v = image distance
- u = object distance (distance of the mirror from the face)
Calculating Object Distance
1. Using Magnification:
- Since the image is upright, we have:
m = v/u
- Rearranging gives us:
v = 4u
2. Substituting in the Mirror Formula:
- Plugging v into the mirror formula:
1/f = 1/v + 1/u
- This becomes:
1/0.6 = 1/(4u) + 1/u
3. Finding a Common Denominator:
- Multiply through by 4u to eliminate denominators:
4u/0.6 = 1 + 4
- Simplifying gives:
4u/0.6 = 5
4u = 5 * 0.6
4u = 3
u = 3/4 = 0.75 m
Conclusion
To achieve an upright image with a magnification of 4, hold the concave mirror at a distance of 0.75 meters from your face.
To find the distance at which to hold a concave mirror for an upright image with a magnification of 4, we can use the mirror formula and magnification equations.
Given Data
- Focal length (f) = 0.6 m
- Magnification (m) = 4
Relevant Formulas
- Mirror formula: 1/f = 1/v + 1/u
- Magnification formula: m = -v/u
Where:
- v = image distance
- u = object distance (distance of the mirror from the face)
Calculating Object Distance
1. Using Magnification:
- Since the image is upright, we have:
m = v/u
- Rearranging gives us:
v = 4u
2. Substituting in the Mirror Formula:
- Plugging v into the mirror formula:
1/f = 1/v + 1/u
- This becomes:
1/0.6 = 1/(4u) + 1/u
3. Finding a Common Denominator:
- Multiply through by 4u to eliminate denominators:
4u/0.6 = 1 + 4
- Simplifying gives:
4u/0.6 = 5
4u = 5 * 0.6
4u = 3
u = 3/4 = 0.75 m
Conclusion
To achieve an upright image with a magnification of 4, hold the concave mirror at a distance of 0.75 meters from your face.
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A concave mirror is used for face viewing has focal length of 0.6 m. at what distance you should hold the mirror from your face to get an upright image with a magnification of 4?
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A concave mirror is used for face viewing has focal length of 0.6 m. at what distance you should hold the mirror from your face to get an upright image with a magnification of 4? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A concave mirror is used for face viewing has focal length of 0.6 m. at what distance you should hold the mirror from your face to get an upright image with a magnification of 4? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A concave mirror is used for face viewing has focal length of 0.6 m. at what distance you should hold the mirror from your face to get an upright image with a magnification of 4?.
A concave mirror is used for face viewing has focal length of 0.6 m. at what distance you should hold the mirror from your face to get an upright image with a magnification of 4? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A concave mirror is used for face viewing has focal length of 0.6 m. at what distance you should hold the mirror from your face to get an upright image with a magnification of 4? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A concave mirror is used for face viewing has focal length of 0.6 m. at what distance you should hold the mirror from your face to get an upright image with a magnification of 4?.
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