Combination of Spherical Mirrors

Q. A reflecting surface is represented by the equation $x^2+y^2=a^2$. A ray travelling in negative x-direction is deviated towards positive y-direction after reflection from the surface at point $P$. Then co-ordinates of point $P$ are

1. $(0.8a,0.6a)$
2. $(0.6a,0.8a)$
3. $(\frac{a}{2},\frac{a}{2})$
4. None of these

Q. A concave mirror of focal length $10\text{cm}$ and a convex mirror of focal length $15\text{cm}$ are placed facing each other $40\text{cm}$ apart. A point object is placed between the mirrors on their common axis and $15\text{cm}$ from the concave mirror. Find the position and nature of the image produced by successive reflections, first at the concave mirror and then at the convex mirror.

1. $12\text{cm}$ behind convex mirror, real
2. $9\text{cm}$ behind convex mirror, real
3. $6\text{cm}$ behind convex mirror, virtual
4. $3\text{cm}$ behind convex mirror, virtual

Q. A point source S is placed midway between two converging mirrors having equal focal length f as shown in fig. Find the values of d for which only one image is formed.

1. 2f, 3f
2. 3f, 4f
3. f, 2f
4. 2f, 4f

Q. A reflecting surface is represented by the equation $x^2+y^2=a^2$. A ray travelling in negative x-direction is deviated towards positive y-direction after reflection from the surface at point $P$. Then co-ordinates of point $P$ are

1. $(0.8a,0.6a)$
2. $(0.6a,0.8a)$
3. $(\frac{a}{2},\frac{a}{2})$
4. None of these

Q. A concave mirror of focal length $10\text{cm}$ and a convex mirror of focal length $15\text{cm}$ are placed facing each other $40\text{cm}$ apart. A point object is placed between the mirrors on their common axis and $15\text{cm}$ from the concave mirror. Find the position and nature of the image produced by successive reflections, first at the concave mirror and then at the convex mirror.

1. $12\text{cm}$ behind convex mirror, real
2. $9\text{cm}$ behind convex mirror, real
3. $6\text{cm}$ behind convex mirror, virtual
4. $3\text{cm}$ behind convex mirror, virtual