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Find the focal length of convex spherical mirror which produces an image 1 by 6 the size of an object located 0.12 from the mirror?
Most Upvoted Answer
Find the focal length of convex spherical mirror which produces an ima...
Explanation:
Here, we need to find the focal length of a convex spherical mirror which produces an image 1 by 6 the size of an object located 0.12 from the mirror.
Let's use the mirror formula to find the focal length of the mirror.
Mirror Formula:
The mirror formula is given by:
1/f = 1/v + 1/u
where f is the focal length of the mirror, v is the distance of the image from the mirror, and u is the distance of the object from the mirror.
Given:
Size of the image (v) = 1/6 times the size of the object (u)
Distance of the object (u) = 0.12 m
Solution:
Let's substitute the given values in the mirror formula and solve for the focal length (f).
1/f = 1/v + 1/u
1/f = 1/(1/6u) + 1/u
1/f = (7/6u)
f = 6u/7
Substituting u = 0.12 m
f = 6(0.12)/7
f = 0.1029 m
Therefore, the focal length of the convex spherical mirror is 0.1029 m.
Answer:
The focal length of the convex spherical mirror is 0.1029 m.
Here, we need to find the focal length of a convex spherical mirror which produces an image 1 by 6 the size of an object located 0.12 from the mirror.
Let's use the mirror formula to find the focal length of the mirror.
Mirror Formula:
The mirror formula is given by:
1/f = 1/v + 1/u
where f is the focal length of the mirror, v is the distance of the image from the mirror, and u is the distance of the object from the mirror.
Given:
Size of the image (v) = 1/6 times the size of the object (u)
Distance of the object (u) = 0.12 m
Solution:
Let's substitute the given values in the mirror formula and solve for the focal length (f).
1/f = 1/v + 1/u
1/f = 1/(1/6u) + 1/u
1/f = (7/6u)
f = 6u/7
Substituting u = 0.12 m
f = 6(0.12)/7
f = 0.1029 m
Therefore, the focal length of the convex spherical mirror is 0.1029 m.
Answer:
The focal length of the convex spherical mirror is 0.1029 m.
Community Answer
Find the focal length of convex spherical mirror which produces an ima...
As the size of the object is not given so we will take U- x and size of image formed as V. as U is x so ATQ V = U/6 so by mirror formula
1/V+1/U=1/f .1/U/6+1/U =1/f. 6/U+1/U=1/f. 7/U=1/f. so f=U/7.
therefore we can say that the focal length of mirror is height of object /7.
1/V+1/U=1/f .1/U/6+1/U =1/f. 6/U+1/U=1/f. 7/U=1/f. so f=U/7.
therefore we can say that the focal length of mirror is height of object /7.
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Find the focal length of convex spherical mirror which produces an image 1 by 6 the size of an object located 0.12 from the mirror?
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Find the focal length of convex spherical mirror which produces an image 1 by 6 the size of an object located 0.12 from the mirror? 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 Find the focal length of convex spherical mirror which produces an image 1 by 6 the size of an object located 0.12 from the mirror? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the focal length of convex spherical mirror which produces an image 1 by 6 the size of an object located 0.12 from the mirror?.
Find the focal length of convex spherical mirror which produces an image 1 by 6 the size of an object located 0.12 from the mirror? 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 Find the focal length of convex spherical mirror which produces an image 1 by 6 the size of an object located 0.12 from the mirror? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the focal length of convex spherical mirror which produces an image 1 by 6 the size of an object located 0.12 from the mirror?.
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