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An object 4 cm in size placed at 25 cm in front of a concave mirror of focal length 15 cm at what distance from the mirror a screen should be placed in order to obtained a sharp image.find nature and size of the image?
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An object 4 cm in size placed at 25 cm in front of a concave mirror of...
1/f=1/u+1/vu=-25cm1/-15=1/-25+1/(+v)===>1/v=-1/15+1/251/v=-25+15/15*251/v=-2/75v=-75/2m=-(v/u)=-(75/2/-25/1)=-3/2=-1.5m=-1.5so Image is magnified and real ,inverted
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An object 4 cm in size placed at 25 cm in front of a concave mirror of...
Calculation of Image Distance
Given:
Object distance (u) = -25 cm (because the object is placed in front of the mirror)
Focal length (f) = -15 cm (because the mirror is concave)
Using the formula: 1/f = 1/u + 1/v
Where v is the image distance
Substituting the values, we get:
1/-15 = 1/-25 + 1/v
Solving for v, we get:
v = -37.5 cm
The negative sign indicates that the image is formed behind the mirror, which is expected for a concave mirror.
Calculation of Image Size
Using the formula: magnification = -v/u
Substituting the values, we get:
magnification = -(-37.5)/(-25) = 1.5
The negative sign indicates that the image is inverted.
Using the formula: size of image = magnification x size of object
Substituting the values, we get:
size of image = 1.5 x 4 cm = 6 cm
Therefore, the nature of the image is virtual, inverted and magnified, and the size of the image is 6 cm.
Calculation of Screen Distance
Using the formula: 1/f = 1/u + 1/v
Where u is the object distance and v is the image distance, and f is the focal length of the mirror.
Substituting the values, we get:
1/-15 = 1/-25 + 1/v
Solving for v, we get:
v = -37.5 cm
Now, using the formula: distance of screen from mirror = v + u
Substituting the values, we get:
distance of screen from mirror = -37.5 cm + (-25 cm) = -62.5 cm
The negative sign indicates that the screen should be placed 62.5 cm behind the mirror.
Given:
Object distance (u) = -25 cm (because the object is placed in front of the mirror)
Focal length (f) = -15 cm (because the mirror is concave)
Using the formula: 1/f = 1/u + 1/v
Where v is the image distance
Substituting the values, we get:
1/-15 = 1/-25 + 1/v
Solving for v, we get:
v = -37.5 cm
The negative sign indicates that the image is formed behind the mirror, which is expected for a concave mirror.
Calculation of Image Size
Using the formula: magnification = -v/u
Substituting the values, we get:
magnification = -(-37.5)/(-25) = 1.5
The negative sign indicates that the image is inverted.
Using the formula: size of image = magnification x size of object
Substituting the values, we get:
size of image = 1.5 x 4 cm = 6 cm
Therefore, the nature of the image is virtual, inverted and magnified, and the size of the image is 6 cm.
Calculation of Screen Distance
Using the formula: 1/f = 1/u + 1/v
Where u is the object distance and v is the image distance, and f is the focal length of the mirror.
Substituting the values, we get:
1/-15 = 1/-25 + 1/v
Solving for v, we get:
v = -37.5 cm
Now, using the formula: distance of screen from mirror = v + u
Substituting the values, we get:
distance of screen from mirror = -37.5 cm + (-25 cm) = -62.5 cm
The negative sign indicates that the screen should be placed 62.5 cm behind the mirror.
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An object 4 cm in size placed at 25 cm in front of a concave mirror of focal length 15 cm at what distance from the mirror a screen should be placed in order to obtained a sharp image.find nature and size of the image?
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An object 4 cm in size placed at 25 cm in front of a concave mirror of focal length 15 cm at what distance from the mirror a screen should be placed in order to obtained a sharp image.find nature and size of the image? 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 4 cm in size placed at 25 cm in front of a concave mirror of focal length 15 cm at what distance from the mirror a screen should be placed in order to obtained a sharp image.find nature and size of the image? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object 4 cm in size placed at 25 cm in front of a concave mirror of focal length 15 cm at what distance from the mirror a screen should be placed in order to obtained a sharp image.find nature and size of the image?.
An object 4 cm in size placed at 25 cm in front of a concave mirror of focal length 15 cm at what distance from the mirror a screen should be placed in order to obtained a sharp image.find nature and size of the image? 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 4 cm in size placed at 25 cm in front of a concave mirror of focal length 15 cm at what distance from the mirror a screen should be placed in order to obtained a sharp image.find nature and size of the image? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object 4 cm in size placed at 25 cm in front of a concave mirror of focal length 15 cm at what distance from the mirror a screen should be placed in order to obtained a sharp image.find nature and size of the image?.
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