Mirror Formula

Q.

Statement I : The formula connecting u, v and f for a spherical mirror is valid only for the mirrors whose sizes are very small as compared to their radii of curvature.

Statement II : Laws of reflection are strictly valid for plane surfaces, but not for larger spherical surfaces. [ IIT JEE 2007 ]

1. Statement I is correct but Statement II is incorrect
2. Statement I is incorrect but Statement II is correct
3. Both the statements are correct but Statement II doesn’t infer to Statement I
4. Both the statements are correct and statement II infers to Statement I

Q. If instead of definingprincipal axisas the line joining the center of curvature to mid-point of the spherical mirror, if we were to define it as the line shown below, the position of image formed for an object would change.

1. Always true
2. Always false
3. May be true for some special cases
4. Data insufficient to answer the question

Q.

In an experiment of find the focal length of a concave mirror a graph is drawn between the magnitudes of u and v. The graph looks like
[AIIMS 2003]

1. 
2. 
3. 
4. 

Q. A convex mirror has a focal length $20\text{cm}$. A convergent beam tending to converge to a point $20\text{cm}$ behind the mirror on principal axis falls on it. The image is formed at

1. Infinity
2. $40\text{cm}$
3. $10\text{cm}$
4. $20\text{cm}$

Q. A convex mirror has a focal length $f$. A real object, placed at a distance $f$ in front of it from the pole, produces an image at

1. $2f$
2. $f$
3. $\infty$
4. $\frac{f}{2}$

Q. A concave mirror cannot form :

1. virtual image of virtual object
2. virtual image of a real object
3. real image of a real object
4. real image of a virtual object

Q. A convex mirror has a focal length $f$. A real object placed at a distance $f$ in front of it from the pole, produces an image at

1. $2f$
2. $\frac{f}{2}$
3. $\infty$
4. $f$

Q. A person looks at his image, which is 3 times the original size, in a mirror. If radius of curvature of the mirror is 36 cm, find his distance from the mirror?

1. 6 cm
2. 4.5 cm
3. 12 cm
4. 18 cm

Q. A Cassegrain telescope uses two mirrors as shown in Fig. 9.33. Sucha telescope is built with the mirrors 20mm apart. If the radius ofcurvature of the large mirror is 220 mm and the small mirror is 140mm, where will the final image of an object at infinity be?

Q. Match the following