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An object of 5cm is size is placed distance mirror of 20cm from a concave mirror of focal length 15cm at what distance from the mirror should a screen be placed to get sharp image also calculate tje sizw of theimage?
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An object of 5cm is size is placed distance mirror of 20cm from a conc...
Calculation of Image Distance:
To calculate the image distance, we can use the mirror formula:
1/f = 1/v + 1/u
Given:
f = -15 cm (since it is a concave mirror, the focal length is negative)
u = -20 cm
v = ?
1/(-15) = 1/v + 1/(-20)
-1/15 = 1/v - 1/20
-1/15 + 1/20 = 1/v
(4 - 3)/60 = 1/v
1/60 = 1/v
v = 60 cm
Calculation of Image Size:
Using the magnification formula:
m = -v/u
m = -(60)/(-20)
m = 3
The negative sign indicates that the image is inverted.
Now, to calculate the size of the image, we can use the magnification formula:
m = -h'/h
Given:
m = 3
h = 5 cm
h' = ?
3 = -h'/5
h' = -15 cm
Distance of Screen:
The distance of the screen from the mirror is equal to the image distance, which is 60 cm. Therefore, the screen should be placed 60 cm away from the mirror to obtain a sharp image.
Size of the Image:
The size of the image is calculated to be -15 cm, indicating that the image is inverted and three times larger than the object.
To calculate the image distance, we can use the mirror formula:
1/f = 1/v + 1/u
Given:
f = -15 cm (since it is a concave mirror, the focal length is negative)
u = -20 cm
v = ?
1/(-15) = 1/v + 1/(-20)
-1/15 = 1/v - 1/20
-1/15 + 1/20 = 1/v
(4 - 3)/60 = 1/v
1/60 = 1/v
v = 60 cm
Calculation of Image Size:
Using the magnification formula:
m = -v/u
m = -(60)/(-20)
m = 3
The negative sign indicates that the image is inverted.
Now, to calculate the size of the image, we can use the magnification formula:
m = -h'/h
Given:
m = 3
h = 5 cm
h' = ?
3 = -h'/5
h' = -15 cm
Distance of Screen:
The distance of the screen from the mirror is equal to the image distance, which is 60 cm. Therefore, the screen should be placed 60 cm away from the mirror to obtain a sharp image.
Size of the Image:
The size of the image is calculated to be -15 cm, indicating that the image is inverted and three times larger than the object.
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An object of 5cm is size is placed distance mirror of 20cm from a concave mirror of focal length 15cm at what distance from the mirror should a screen be placed to get sharp image also calculate tje sizw of theimage?
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An object of 5cm is size is placed distance mirror of 20cm from a concave mirror of focal length 15cm at what distance from the mirror should a screen be placed to get sharp image also calculate tje sizw of theimage? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about An object of 5cm is size is placed distance mirror of 20cm from a concave mirror of focal length 15cm at what distance from the mirror should a screen be placed to get sharp image also calculate tje sizw of theimage? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object of 5cm is size is placed distance mirror of 20cm from a concave mirror of focal length 15cm at what distance from the mirror should a screen be placed to get sharp image also calculate tje sizw of theimage?.
An object of 5cm is size is placed distance mirror of 20cm from a concave mirror of focal length 15cm at what distance from the mirror should a screen be placed to get sharp image also calculate tje sizw of theimage? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about An object of 5cm is size is placed distance mirror of 20cm from a concave mirror of focal length 15cm at what distance from the mirror should a screen be placed to get sharp image also calculate tje sizw of theimage? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object of 5cm is size is placed distance mirror of 20cm from a concave mirror of focal length 15cm at what distance from the mirror should a screen be placed to get sharp image also calculate tje sizw of theimage?.
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