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A concave mirror produces three times enlarged virtual image of an object placed at 10cm in front of it. Calculate the radius of curvature of the mirror.?
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A concave mirror produces three times enlarged virtual image of an obj...
Given data:
- Magnification (M) = 3
- Object distance (u) = -10 cm (negative sign indicates the object is placed in front of the mirror)
Formula for magnification:
M = -v/u
Calculating image distance:
Given M = 3, we can rearrange the formula to find the image distance (v).
3 = -v/(-10)
v = -30 cm
Calculating focal length:
Using the mirror formula: 1/f = 1/v + 1/u
1/f = 1/(-30) + 1/(-10)
1/f = -1/30 - 1/10
1/f = -4/30
f = -7.5 cm
Calculating radius of curvature:
The radius of curvature (R) is twice the focal length of the mirror.
R = 2*(-7.5) = -15 cm
Therefore, the radius of curvature of the concave mirror is -15 cm. The negative sign indicates that the mirror is concave.
- Magnification (M) = 3
- Object distance (u) = -10 cm (negative sign indicates the object is placed in front of the mirror)
Formula for magnification:
M = -v/u
Calculating image distance:
Given M = 3, we can rearrange the formula to find the image distance (v).
3 = -v/(-10)
v = -30 cm
Calculating focal length:
Using the mirror formula: 1/f = 1/v + 1/u
1/f = 1/(-30) + 1/(-10)
1/f = -1/30 - 1/10
1/f = -4/30
f = -7.5 cm
Calculating radius of curvature:
The radius of curvature (R) is twice the focal length of the mirror.
R = 2*(-7.5) = -15 cm
Therefore, the radius of curvature of the concave mirror is -15 cm. The negative sign indicates that the mirror is concave.
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A concave mirror produces three times enlarged virtual image of an object placed at 10cm in front of it. Calculate the radius of curvature of the mirror.?
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A concave mirror produces three times enlarged virtual image of an object placed at 10cm in front of it. Calculate the radius of curvature of the mirror.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A concave mirror produces three times enlarged virtual image of an object placed at 10cm in front of it. Calculate the radius of curvature of the mirror.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A concave mirror produces three times enlarged virtual image of an object placed at 10cm in front of it. Calculate the radius of curvature of the mirror.?.
A concave mirror produces three times enlarged virtual image of an object placed at 10cm in front of it. Calculate the radius of curvature of the mirror.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A concave mirror produces three times enlarged virtual image of an object placed at 10cm in front of it. Calculate the radius of curvature of the mirror.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A concave mirror produces three times enlarged virtual image of an object placed at 10cm in front of it. Calculate the radius of curvature of the mirror.?.
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