Spherical Mirror Common Terms & Rays

Q.

What is the purpose of using a concave mirror in car headlights?

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

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.

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

Q. An incident ray falls on the mirror as shown in the figure. Which of the following qualify to be the corresponding reflected ray.

1. A
2. B
3. C
4. D

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. $f_1=-ve,f_2=+ve$