Spherical Mirror Common Terms & Rays

Q.

Why a ray of light passing through the center of curvature of concave minor gets reflected along the same path?

Q. A ray parallel to $x$ - axis is incident on a spherical reflecting surface of radius $R$ and the reflected ray becomes parallel to the $y$ - axis as shown. Find the coordinates of point $P$.

1. $(-R,R)$
2. $(\frac{R}{\sqrt{2}},\frac{R}{\sqrt{2}})$
3. $(-\frac{R}{\sqrt{2}},\frac{R}{\sqrt{2}})$
4. $(\frac{-R}{2},\frac{R}{2})$

Q. A ray parallel to $x$ - axis is incident at a point $P$ on a parabolic reflecting surface, and the reflected ray becomes parallel to $y$ - axis as shown in the figure. If the equation of parabola is given by $y^2=2x$, then the coordinates of point $P$ are

1. $(1,\frac{1}{2})$
2. $(\frac{1}{2},1)$
3. $(\frac{3}{2},1)$
4. $(\frac{1}{3},\frac{1}{2})$

Q.

All incident rays passing through the centre of curvature of a spherical mirror, retrace their path after reflection. Give reason.

Q. Figure shows two spherical mirrors. Identify the type of mirrors respectively and choose the correct option.

1. concave and convex mirror
2. convex and convex mirror
3. Both concave
4. Both convex

Q. Figure shows two spherical mirrors. Identify the type of mirrors respectively and choose the correct option.

1. concave and convex mirror
2. convex and convex mirror
3. Both concave
4. Both convex

Q. Figure shows two rays A and B being reflected by a mirror and going as A' and B'. The mirror

1. Is plane
2. Is convex
3. Is concave
4. May be any spherical mirror

Q.

A person sees his virtual image by holding a mirror very close to the face.

When he moves the mirror away from his face, the image becomes inverted.

What type of mirror he is using

1. Plane mirror

2. Convex mirror

3. Concave mirror

4. None of these

Q. A concave mirror has been used to focus the incident beam of paraxial rays at a point. To achieve the highest accuracy while converging the beam to a point, the mirror used should have:

1. aperture comparable to its radius of curvature
2. very small aperture compared to its radius of curvature
3. very large aperture compared to its radius of curvature
4. aperture of mirror doesn't have significant role

Q. Which of the following statement is correct if we cut two spherical mirrors from the same sphere?

1. They necessarily have same radius of curvature but may have same or different aperture.
2. They may have different radius of curvature
3. They have different radius of curvature but same aperture.
4. They have different radius of curvature and aperture.

Q. A ray of light parallel to $y-$axis is incident on a parabola $y=4x^2$ polished from inside as shown in the figure. Find the co-ordinates $x\text{and}y$ of the point at which the incident ray should fall such that the reflected ray becomes horizontal after reflection.

1. $(x,y)=(\frac{1}{4},\frac{1}{8})$
2. $(x,y)=(\frac{1}{2},\frac{1}{4})$
3. $(x,y)=(\frac{1}{8},\frac{1}{16})$
4. $(x,y)=(\frac{1}{16},\frac{1}{64})$

Q. A ray of light parallel to $y-$axis is incident on a parabola $y=4x^2$ polished from inside as shown in the figure. Find the co-ordinates $x\text{and}y$ of the point at which the incident ray should fall such that the reflected ray becomes horizontal after reflection.

1. $(x,y)=(\frac{1}{16},\frac{1}{64})$
2. $(x,y)=(\frac{1}{8},\frac{1}{16})$
3. $(x,y)=(\frac{1}{2},\frac{1}{4})$
4. $(x,y)=(\frac{1}{4},\frac{1}{8})$

Q.

The destiny of parallel rays in a spherical mirror (within paraxial approximation) is :

1. They remain parallel

2. They intersect at different points on the principle axis

3. They intersect at the same point on the principle axis

4. Can’t comment

Q.

A person sees his virtual image by holding a mirror very close to the face.

When he moves the mirror away from his face, the image becomes inverted.

What type of mirror he is using

1. Plane mirror

2. Convex mirror

3. Concave mirror

4. None of these