A thin lens and a spherical mirror have a focal length of + 15 cm each...
Explanation:
A thin lens and a spherical mirror have a focal length of 15 cm each. The options given are:
a) Both are convex.
b) The lens is convex and the mirror is concave.
c) The lens is concave and the mirror is convex.
d) Both are concave.
The correct answer is 'A', which means both the lens and the mirror are convex. Let's understand why this is the correct answer.
Convex Lens:
A convex lens is thicker at its center than at its edges. When light rays pass through a convex lens, they converge at a point on the other side of the lens. This point is called the focal point. The distance between the lens and the focal point is called the focal length.
Spherical Mirror:
A spherical mirror is a mirror with a curved surface. If the mirror is curved inward, it is called a concave mirror, and if it is curved outward, it is called a convex mirror. In this case, we are given a convex mirror. When light rays reflect from a convex mirror, they converge at a point called the focal point. The distance between the mirror and the focal point is called the focal length.
Why Option 'A' is Correct?
When a convex lens and a convex mirror have the same focal length, it means that they have the same curvature. This is only possible if both the lens and the mirror have a convex shape.
If the lens was concave, it would diverge the light rays, and they would not converge at the same point as the mirror. Similarly, if the mirror was concave, it would converge the light rays too much, and they would not converge at the same point as the lens.
Therefore, the correct answer is 'A' - both the lens and the mirror are convex.
A thin lens and a spherical mirror have a focal length of + 15 cm each...
According to sign convention distances and points are given their positive or negative sign on the basis of direction of propagation of incident Ray and the focus of both convex mirror and lens are in the front of propagating incident Ray of light so it is taken as positive
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