Spherical Mirror Common Terms & Rays

Q. Two thin similar convex glass pieces are joined together front to front with its rear portion silvered such that a sharp image is formed 20 cm from themirror. When the air between the glass pieces is replaced by water (U water= 4/3), then the imageformed from the mirror is at a distance of(1) 8 cm(3) 6 cm(2) 10 cm(4) 12 cm

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.

Give one word for the geometric centre of a spherical mirror.

Q.

For a spherical concave mirror, the normal will pass through :

1. The focus

2. The center of curvature

3. The pole
4. Depends upon the point of incidence

Q.

The focus in terms of a parabolic mirror is where:

1. All the parallel incident rays meet

2. All the parallel reflected rays meet

3. All the parallel reflected rays appear to meet

4. All the parallel incident rays appear to meet

Q. In the case of convex mirrors, the focal point lies behind the mirror because:

1. centre of the spherical surface lies in front of the mirror
2. pole lies beyond the centre of the spherical surface
3. centre of the spherical surface lies behind the mirror
4. pole lies before the centre of the spherical surface

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 boy stands straight in front of a mirror at a distance of 30cm away from it.

He sees his erect image whose height is of his real height. The mirror he is using is

[MP PMT 1993]

1. Concave mirror

2. Plane mirror

3. Convex mirror

4. Plano-convex mirror

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. For the given system of mirrors, the image formed after two reflections is on the source $S$ itself. Then, the distance between the two mirrors is (Take first reflection from mirror $M_2$)

1. $70\text{cm}$
2. $60\text{cm}$
3. $40\text{cm}$
4. $50\text{cm}$

Q.

A boy stands straight in front of a mirror at a distance of 30cm away from it.

He sees his erect image whose height is of his real height. The mirror he is using is

[MP PMT 1993]

1. Plane mirror

2. Convex mirror

3. Concave mirror

4. Plano-convex mirror

Q. day and night settings for rearview mirror uses convex mirror or thick wedge shaped mirror. and wh

Q. The focus is defined for a concave mirror but not for a convex mirror because :

1. A concave mirror converges the rays to the focus, while a convex mirror diverges the rays.
2. A convex mirror is not a focusing mirror
3. Rays after striking a convex mirror never meet again
4. Trick question! The focus is defined for a convex mirror as the point where the reflected rays appear to meet.

Q. A paraxial 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 the parabola is given by $y^2=2x$, then the coordinates of $P$ are

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

Q.

How many laws of reflection 2 or3

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

Q. Choose the incorrect statement out of the following.

1. If we cut two spherical mirrors from same sphere, they must have same radius of curvature.
2. The direction of incident ray is chosen to be positive.
3. A concave mirror with very large aperture is chosen to focus the incident beam of parallel rays at a point.
4. The focal length of plane mirror is infinity.

Q. In the given figure, the focal length of the two mirrors $M-1$ and $M-2$ for the given incident rays are $f_1$ and $f_2$ respectively, then

1. $f_1=-ve,f_2=-ve$
2. $f_1=+ve,f_2=-ve$
3. $f_1=-ve,f_2=+ve$
4. $f_1=+ve,f_2=+ve$

Q.

______ mirror is called as diverging mirror

1. Convex

2. Concave

3. Both b and c

4. Plane

Q. In the case of convex mirrors, the focal point lies behind the mirror because:

1. centre of the spherical surface lies in front of the mirror
2. centre of the spherical surface lies behind the mirror
3. pole lies beyond the centre of the spherical surface
4. pole lies before the centre of the spherical surface

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.

Define the principle axis of the spherical mirror.

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 convex mirror:

1. Converges the incident parallel rays

2. Diverges the incident parallel rays

3. May converge or diverge the incident parallel rays

4. Can't comment

Q. Figure shows incident rays falling on a convex mirror. The nature of the object and image, respectively can be:

1. Object $\to$ Real , Image $\to$ Virtual
2. Object $\to$ Virtual, Image $\to$ Real
3. Object $\to$ Virtual , Image $\to$ Virtual
4. Object $\to$ Real , Image $\to$ Virtual

Q.

What is the path of the rays passing through the centre of curvature after reflection in a spherical mirror?

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

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

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

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

Q. The sun (diameter d) subtends an angle x radian at the pole of a concave mirror of focal length f. What is the diameter of the image of the sun formed by the mirror?

Q. A paraxial 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 the parabola is given by $y^2=2x$, then the coordinates of $P$ are