Under which conditions do both convex and concave mirrors form virtual images? State whether or not each can form a real image.
If the mirror can form a real image, describe how this works.
1 answer:
Hi!
Convex mirrors always form virtual images regardless of object position and the image is formed behind the mirror in both cases I.e. at infinity and between infinity and the pole. The image is diminished in both the cases.
Concave mirrors form a virtual image when the object is placed in between the Principal focus and the Pole and the image is formed behind the mirror. The virtual image is enlarged in this case. In all other object positions I.e. at infinity, beyond Center of curvature, at Center,between centre of curvature and principal focus and at principal focus, a real and an inverted image of the object is formed.
The ray diagrams for all the positions for the object in concave and convex mirrors are given below:
Convex mirrors always form virtual images regardless of object position and the image is formed behind the mirror in both cases I.e. at infinity and between infinity and the pole. The image is diminished in both the cases.
Concave mirrors form a virtual image when the object is placed in between the Principal focus and the Pole and the image is formed behind the mirror. The virtual image is enlarged in this case. In all other object positions I.e. at infinity, beyond Center of curvature, at Center,between centre of curvature and principal focus and at principal focus, a real and an inverted image of the object is formed.
The ray diagrams for all the positions for the object in concave and convex mirrors are given below:
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a) Object C (the disk) has the greatest rotational inertia ()
b) Object B (the sphere) has the smallest rotational inertia ()
Explanation:
The moments of inertia of the three objects are the following:
1) For a hoop of negligible thickness, it is
where M is its mass and R its radius. For the hoop in this problem,
M = m
R = r
Therefore, its moment of inertia is
2) For a solid sphere, the moment of inertia is
where M is its mass and R its radius. For the sphere in this problem,
M = 2m
R = r
Therefore, its moment of inertia is
3) For a disk of negligible thickness, the moment of inertia is
where M is its mass and R its radius. For the disk in this problem,
M = 3m
R = r
Therefore, its moment of inertia is
So now we can answer the two questions:
a) Object C (the disk) has the greatest rotational inertia ()
b) Object B (the sphere) has the smallest rotational inertia ()
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